Partial Differential Equations - Advanced Topics and Applications

Jean-Yves Chemin: On the isotropic nature of the possible blow up for 3D Navier-Stokes
Masahiro Yamamoto: Inverse problems for fluid dynamics
Bruno Després: Mathematical properties of hierarchies of reduced MHD models
François Delarue: Mean-field analysis of an excitatory neuronal network: application to [...]
Francis Filbet: On hybrid method for rariefied gas dynamics: Boltzmann vs. Navier-Stokes models
Michael Weinstein: Waves and microstructures
Faouzi Triki: Inverse scattering problems with multi-frequency data
Guillaume Bal: High-contrast high-resolution coupled physics imaging modalities
Lionel Roques: Uniqueness of coefficients by strong maximum principle
David Dos Santos Ferreira: The anisotropic Calderon problem
Leif Arkeryd: On low temperature kinetic theory; spin diffusion, anyons, Bose Einstein condensates
Julien Barré: From Vlasov-Poisson-Fokker-Planck to incompressible Euler equations
Chiara Saffirio: From the Hartree-Fock dynamics to the Vlasov equation
Delphine Salort: Around a Fokker-Planck equation modeling neuronal networks
Rabia Djellouli: Retrieving the shape in an inverse elasto-acoustic scattering problem [...]
Nicola Visciglia: Scattering for NLS in ℝd×
Mourad Bellassoued: Stable determination of coefficients in the dynamical Schrödinger [...]
Lauri Oksanen: On the boundary control method
Samuli Siltanen: Reconstruction methods for ill-posed inverse problems - Part 1
Samuli Siltanen: Reconstruction methods for ill-posed inverse problems - Part 2
Pierre Raphaël: Singularity formation in semi linear dispersing / parabolic problem
Juan Luis Vázquez: The theory of nonlinear diffusion with fractional operators
Patrick Gérard: Resonant two-soliton interaction for the one dimensional half wave equation
Panagiota Daskalopoulos: Ancient solutions to geometric flows
Richard Melrose: The wave equation for Weil-Petersson metrics
Jeffrey Galkowski: Quantum Sabine law for resonances in transmission problems
Christopher Judge: Hyperbolic triangles with no positive Neumann eigenvalues
Julie Rowlett: A Polyakov formula for sectors
Joaquin Fontbona: Non-local Lokta-Volterra cross diffusion systems - part 1
Joaquin Fontbona: Non-local Lokta-Volterra cross diffusion systems - part 2
Laurent Desvillettes: Spatially structured population dynamics: the point of view of PDEs - part 1
Laurent Desvillettes : Spatially structured population dynamics: the point of view of PDEs - part 2
László Székelyhidi: The H-Principle and Turbulence
Henniart: Classification des représentations admissibles irréductibles modulo p...
Colin Guillarmou: Correspondence between Ruelle resonances and quantum resonances ...
Peter Hintz: The stability of Kerr-de Sitter black holes
Anke Pohl: Isomorphisms between eigenspaces of slow and fast transfer operators
Gabriel Rivière: Correlation spectrum of Morse-Smale flows
David Borthwick: Asymptotics of resonances for hyperbolic surfaces
Andras Vasy: Microlocal analysis for Kerr-de Sitter black holes
Andrea Pulita: An overview on some recent results about p-adic differential equations ...
Andrea D'Agnolo : On the Riemann-Hilbert correspondence for irregular holonomic D-modules
Martin Hairer: Weak universality of the KPZ equation with arbitrary nonlinearities
Ping Zhang: Large time behavior os solutions to 3-D MHD system with initial data near equilibrium
Toshiaki Hishida : Lq-Lr estimates of a generalized Oseen evolution operator...
Evelyne Miot: An asymptotic regime for the Vlasov-Poisson system
Josef Málek: On the analysis of a class of thermodynamically compatible viscoelastic...
Camillo De Lellis: The Onsager Theorem
Giovanni Peccati: Cancellations in random nodal sets
Interview at Cirm: Martin Hairer
Bernard Helffer: Spectral theory and semi-classical analysis for the complex Schrödinger operator
​Anne Sophie Bonnet-Ben Dhia: A new complex spectrum associated to invisibility in waveguides
Catherine Sulem: Soliton Resolution for Derivative NLS equation
Michael Weinstein: Dispersive waves in novel 2d media; Honeycomb structures, Edge States ...
Evgenii Kuznetsov: ​​Solitons vs collapses
Valeria Banica: Dynamics of almost parallel vortex filaments
Yvon Martel: Interactions of solitary waves for the nonlinear Schrödinger equations
Fabrice Planchon: The wave equation on a model convex domain revisited​
Vladimir Zakharov : Unresolved problems in the theory of integrable systems
Daniel Tataru: Geometric heat flows and caloric gauges
Joachim Krieger: On stability of type II blow up solutions for the critical nonlinear wave equation
Cécile Huneau: High frequency back reaction for the Einstein equations
Monica Visan: Almost sure scattering for the energy-critical Schrödinger equation in 4D...
Sandrine Grellier: Various aspects of the dynamics of the cubic Szegő solutions
Yves Achdou: Numerical methods for mean field games - Introduction to the system of PDEs and...
Yves Achdou: Numerical methods for mean field games - Monotone finite difference schemes
Yves Achdou: Numerical methods for mean field games - Variational MFG and related algorithms for...
Pierre Degond: On the interplay between kinetic theory and game theory
Xavier Warin: Branching for PDEs
Jean-David Benamou: Dynamic formulations of Optimal Transportation and variational MFGs
Raúl Tempone: Adaptive strategies for Multilevel Monte Carlo
Raúl Tempone: Multilevel and Multi-index Monte Carlo methods for the McKean-Vlasov equation
Francisco José Silva Álvarez: On the discretization of some nonlinear Fokker-Planck-Kolmogorov ...
Laurent Mertz: Stochastic variational inequalities for random mechanics
Mathieu Laurière: Mean field type control with congestion
Camillo De Lellis: Ill-posedness for Leray solutions of the ipodissipative Navier-Stokes equations
David Jerison: Localization of eigenfunctions via an effective potential
Norbert Mauser: The quantum Vlasov equation
Kenji Imadera: 5D full-f gyrokinetic simulation for ion turbulence and transport barrier in ...
Thierry Sousbie: ColDICE: a parallel Vlasov-Poisson solver using moving adaptative simplicial [...]
Evelyne Miot: From Vlasov-Poisson to Euler in the gyrokinetic limit
Grégoire Loeper: Reconstruction by optimal transport: applications in cosmology and finance
Heather Macbeth: Kähler-Ricci solitons on crepant resolutions of finite quotients of C^n
Eleonora Di Nezza: Complex Monge-Ampere equations with prescribed singularities​
Xavier Tolsa: The weak-A∞ condition for harmonic measure
Tuomas Hytönen: Of commutators and Jacobians
Raphaël Danchin: Recent approaches based on harmonic analysis for the study of non ...
Mark Veraar: H∞-calculus and the heat equation with rough boundary conditions
Martina Hofmanova: Global solutions to elliptic and parabolic Φ4 models in Euclidean space
Felix Otto: Singular SPDE with rough coefficients
Eulalia Nualart: Asymptotics for some non-linear stochastic heat equations
Lorenzo Zambotti: Bessel-like SPDEs
Franco Flandoli: Stochastic solutions of 2D fluids​
Philip Maini: Mathematical modelling of angiogenesis
Pierre Degond: A new continuum theory for incompressible swelling materials
Bertrand Maury: Mathematics behind some phenomena in crowd motion: Stop and Go waves and...
Philippe Moireau: Data Assimilation: a deterministic vision, theory and applications. Lecture 2
Philippe Moireau: Data Assimilation: a deterministic vision, theory and applications. Lecture 1
Gaël Raoul: Macroscopic limit from a structured population model to the Kirkpatric-Barton model
Emmanuel Maitre: Diffusion redistanciation schemes, Willmore problem and red blood cells
Anton Arnold: Large-time behavior in (hypo)coercive ODE-systems and kinetic models
Laurent Michel: Semiclassical methods for Langevin dynamics at low temperature
Joaquim Serra: Stable phase transitions: from nonlocal to local
Josephine Evans: Using Harris’s theorem to show convergence to equilibrium for kinetic equations
​Vlad Vicol: Intermittent weak solutions of the 3D Navier-Stokes equations
François Golse: Linear Boltzmann equation and fractional diffusion
Jingrui Cheng: Apriori estimates for scalar curvature type equations on compact Kähler manifolds
Vincent Guedj: Pluripotential Kähler-Ricci flows
Alexander Its: Toeplitz determinants, Painlevé equations, and special functions. Part II - Lecture 1
Alexander Its: Toeplitz determinants, Painlevé equations, and special functions. Part II - Lecture 2
Alexander Its: Toeplitz determinants, Painlevé equations, and special functions. Part II - Lecture 3
​ ​Tanja Tarvainen: ​Modelling of errors in photoacoustic tomography
Interview at Cirm: Marta Sanz Solé
Robert Eymard: Gradient Discretisations: Tools and Applications
Erik Burman: Combining cut element methods and hybridization
Donatella Marini: Virtual element approximation of magnetostatic
Jérôme Bonelle: Polyhedral discretizations for industrial applications
Peter Hintz: Linear stability of slowly rotating Kerr spacetimes
Jeffrey Galkowski: Geodesic beams in eigenfunction analysis (part 2 of 2)
Yaiza Canzani: Understanding the growth of Laplace eigenfunctions (part 1 of 2)
Ernst Kuwert: L² curvature for surfaces in Riemannian manifolds
Melanie Rupflin: Singularities of Teichmüller harmonic map flow
Rob Kusner: Willmore stability and conformal rigidity of minimal surfaces in S^n
Simone Göttlich: Traffic flow models with non-local flux and extensions to networks
Filippo Santambrogio: Equilibria and regularity in Mean Field Games with density penalization or...
Peter E. Caines: Graphon Mean Field Games and the GMFG Equations
Claire Chainais-Hillairet: Finite volume methods for dissipative problems - Lecture 3
Claire Chainais-Hillairet: Finite volume methods for dissipative problems - Lecture 2
Claire Chainais-Hillairet: Finite volume methods for dissipative problems - Lecture 1
Claire Chainais-Hillairet: Nonlinear free energy diminishing schemes for convection-diffusion...
Rupert Klein: Scales in geophysical flows - Lecture 1
Rupert Klein: Internal wave dynamics in the atmosphere, take-home messages - Lecture 3
Rupert Klein: Internal wave dynamics in the atmosphere - Lecture 2
David Lannes: Modelling shallow water waves - Lecture 3
David Lannes: Modelling shallow water waves - Lecture 2
David Lannes: Modelling shallow water waves - Lecture 1
Ewelina Zatorska: Finite-energy solutions for compressible Euler and Navier-Stokes with nonlocal...
Patrick Tolksdorf: Da Prato and Grisvard meet global Lagrangian coordinates
Charlotte Perrin: Existence and stability of partially congested fronts
Corentin Audiard: Multiple traveling waves of the Euler-Korteweg system
Laura Caravenna: Exponential stability of BV solutions in a model
Jean Dolbeault: L^2 Hypocoercivity
Félix Otto: The matching problem
Cyril Labbé: Cutoff phenomenon for the asymmetric simple exclusion process
Fraydoun Rezakhanlou: Homogenizations for Hamilton-Jacobi PDEs and Hamiltonian ODEs
Alexandre Boritchev: Adding small viscosity to hyperbolic (stochastic) conservation laws
Hanne van den Bosch: A critical Poincaré-Sobolev inequality
Chiara Saffirio: From the many-body quantum dynamics to the Vlasov equation
Sylvia Serfaty: Microscopic description of Coulomb gases
Li Chen: Combined mean-field and semiclassical limits of large fermionic systems
Edriss Titi: Determining the global dynamics of the two-dimensional Navier-Stokes equations by...
Abdelaziz Rhandi: L^p-theory for Schrödinger systems
Herbert Koch: Dispersive decay for small localized solutions to the Korteweg-de Vries equation
Jinkai Li: Global well-posedness for the primitive equations coupled to nonlinear moisture d...
Hideo Kozono: L r -Helmholtz-Weyl decomposition in 3D exterior domains
Berit Stensønes: Sup-norm estimates for $\overline{\partial }$ in $\mathbb{C}^{3}$
Guillaume Martin: Evolutionary rescue over a phenotype fitness landscape: across the mutation...
Anita Layton: Mathematical models and their applications in hypertension and autism
Raluca Eftimie: Mathematical modelling and investigation of macrophages heterogeneity and...
Andrzej Zuk: Spectra of ultra-discrete limits
Charlotte Perrin: Compressible Euler equations under a maximal density constraint
Anne-Laure Dalibard: Stability of propagation fronts in congestion models
Sylvie Monniaux: Uniqueness of the Boussinesq system in critical spaces using maximal regularity
Pierre-Emmanuel Jabin: A new commutator method for averaging lemmas - lecture 2
Shi Jin: Efficient Numerical Methods for Particle Systems - lecture 2
Shi Jin: Asymptotic preserving methods for multi-scale physical problems - lecture 1
Pierre-Emmanuel Jabin: A new commutator method for averaging lemmas - lecture 3
Pierre-Emmanuel Jabin: A new commutator method for averaging lemmas - lecture 1
Lucrezia Cossetti: Absence of eigenvalues of Schrödinger, Dirac and Pauli Hamiltonians via...
Nicolas Raymond: On the Dirac bag model in strong magnetic fields
Felix Otto: The structure group revisited
Pierre-Emmanuel Jabin: Large stochastic systems of interacting particles
Florian Mehats: Stable and unstable steady states for the HMF model
Anton Arnold: Modal based hypocoercivity methods on the torus and the real line with application...
Ansgar Jüngel: Mean-field-type limits of interacting particle systems for multiple species
Clément Mouhot: Quantitative De Giorgi methods in kinetic theory
Tong Yang: A De Giorgi argument for L $L^{\infty}$solution to the Boltzmann equation without...
Jingwei Hu: New stability and convergence proof of the Fourier-Galerkin spectral method for the...
Michael Herty: Stabilization of random kinetic equations
François Golse: Partial regularity in time for the Landau equation with Coulomb interaction
Jean Dolbeault: Large time asymptotics for evolution equations with mean field couplings
Christian Klingenberg: An inverse problem for a model of cell motion and chemotaxis
Cristina Trombetti: Sharp inequalities for solutions to elliptic problems with mixed boundary...
Iosif Polterovich: The Dirichlet-to-Neumann map, the boundary Laplacian and Hormander’s...
David Krejčiřík: Spectrum of the Möbius strip: true, fake and not-so-fake
Giuseppe Buttazzo: Upper and lower bounds for some shape functionals
Nicolas Crouseilles: High order Eulerian numerical schemes for hybrid fluid-kinetic model
Massoumeh Dashti: Bayesian methods for inverse problems - lecture 2
Tony Lelièvre: Molecular dynamics algorithms: numerical and mathematical analysis
Sandrine Grellier: Turbulent cascades for a family of damped Szegö equations
Cornelia Schneider: Regularity in Besov spaces of parabolic PDEs
Anna Sakovich: On the mass of asymptotically hyperbolic manifolds and initial data set
Christian Bär: Local index theory for Lorentzian manifolds
Vincent Calvez: Collective movement - course 3
Magali Ribot: Models from mixture theory for biofilm growth
Vincent Calvez: Collective movement - course 2
Vincent Calvez: Collective movement - course 1
Edriss Titi: Mathematical analysis of geophysical models
Anne-Laure Dalibard: Boundary layer methods in fluid mechanics - Lecture 3
Anne-Laure Dalibard: Boundary layer methods in fluid mechanics - Lecture 2
Anne-Laure Dalibard: Boundary layer methods in fluid mechanics - Lecture 1
David Gérard-Varet: Recent result on the triple deck model
Pierre-Emmanuel Jabin: The mean-field limit to the Vlasov-Poisson-Fokker-Planck system
Antoine Gloria: Einstein’s effective viscosity formula
Lorenzo Brandolese: Large global solutions of the parabolic-parabolic Keller-Segel system in...
Helena Nussenzveig-Lopes: Energy balance for 2D incompressible fluid flow
Lorenzo Brandolese: Geometric structures in 2D Navier-Stokes flows
Daniel Tataru: Global solutions for one dimensional dispersive models
Igor Kukavica: On the inviscid limit for the Navier-Stokes equations
Jean-François Babadjian: On the convergence of critical points of the Ambrosio-Tortorelli functional
Mats Gustafsson: Bandwidth bounds based on Herglotz-Nevanlinna functions and optimization
Graeme Milton: What effective tensors, and effective tensor functions, can one obtain through...
Ornella Mattei: On the response of lossy two-phase composites subject to time-varying fields
Maryna Kachanovska: Transparent boundary conditions for wave propagation in fractal trees
Kristin Swanson: Every patient deserves their own equation: Sex, drugs and radiomics of brain Cancer
Alessio Porretta: Viscous Hamilton-Jacobi equations in the superquadratic case
Barbara Kaltenbacher: Imaging with nonlinear and fractionally damped waves
Gabriele Ciaramella : Onwaveform-relaxation methods for wave-type equations
Sepideh Mirrahimi : Integro-differential models of evolutionary adaptation in changing...- lecture 2
Sepideh Mirrahimi : Integro-differential models of evolutionary adaptation in changing...- lecture 1
Filippo Santambrogio: Introduction to optimal transport theory - lecture 2
Filippo Santambrogio: Introduction to optimal transport theory - lecture 1
Sir Roger Penrose: The palatial twistor approach to Einstein lambda vacuums
Stefan Volkwein: Introduction to PDE-constrained optimization - lecture 2
Stefan Volkwein: Introduction to PDE-constrained optimization - lecture 1
Alex Blumenthal: Lyapunov exponents of the Navier-Stokes equations
Francesco Fanelli: Odd fluids
Alexis F. Vasseur: Boundary vorticity estimate for the Navier-Stokes equation and control of the ...
Agnieszka Świerczewska-Gwiazda: The Rayleigh-Bénard problem for compressible fluid flows
Siddhartha Mishra: Learning operators - Lecture 1
Siddhartha Mishra: Learning operators - Lecture 2
Siddhartha Mishra: Learning operators - Lecture 3
Jinchao Xu: Finite neuron method - lecture 2
Jinchao Xu: Finite neuron method - lecture 3
Jinchao Xu: Finite neuron method - lecture 1
Olga Mula: Linear and nonlinear schemes for forward model reduction and inverse problems - Lecture 3
Olga Mula: Linear and nonlinear schemes for forward model reduction and inverse problems - Lecture 2
Olga Mula: Linear and nonlinear schemes for forward model reduction and inverse problems - Lecture 1
Pierre-Louis Lions: Large random matrices and PDE’s
Jürg kramer : José Burgos’ variations of arithmetic intersection theory
Maria del Mar González: Spectral properties of Levy Fokker-Planck equations
Daniel Stern: Variational theory for harmonic maps and applications - Lecture 2
Daniel Stern: Variational theory for harmonic maps and applications - Lecture 1
Franco Flandoli : Mean field results in fluid mechanics - Lecture 2
Franco Flandoli : Mean field results in fluid mechanics - Lecture 3
Franco Flandoli : Mean field results in fluid mechanics - Lecture 1
Alexander Sobolev : Spectral asymptotics of the one-particle density matrix for the Coulombic (...)
Nicolas Raymond : Boundary states of the magnetic Robin Laplacian
David Krejcirik : Georgi’s game of twist
Jussi Behrndt : The Landau Hamiltonian with delta-potentials supported on curves
Giovanni Conforti : Invariant integrated convexity profiles for Hamilton-Jacobi-Bellman equations
Nathalie Ayi : Graph limit for interacting particle systems on weighted deterministic and random...
Guy David: Harmonic measure with Robin boundary conditions
Giuseppe Savaré: Lagrangian, Eulerian and Kantorovich formulations of multi-agent optimal control...
Franca Hoffmann: Dynamics of strategic agents and algorithms as PDEs
Philippe Laurençot: Global existence and boundedness for chemotaxis models with local sensing
Yao Yao: Suppression of chemotactic blow-up by buoyancy
Dejan Slepčev: Gradient flows for sampling and their deterministic interacting particle (...)
Michael Hitrik: Magic angles and classically forbidden regions for twisted bilayer graphene
Borbala Gerhat: Powers of discrete Laplacians and Hardy-type inequalities
Cristian Cazacu: Hardy inequalities for magnetic p-Laplacians
Laura Baldelli: Curved quantum nonlinear waveguides
Seick Kim: Dirichlet problem for second order elliptic equations in nondivergence form (...)
Moritz Egert: Unexpected norms on BMO and the Dirichlet problem
Steve Hofmann: A problem of free boundary type for caloric measure
Project purple: $L^{p}$-extrapolation à la Blunck-Kunstmann
Project cyan: $H^{\infty}$-calculus and square functions on Banach spaces
Yao Yao: Steady states and dynamics of the aggregation-diffusion equation - Lecture 1
Yao Yao: Steady states and dynamics of the aggregation-diffusion equation - Lecture 2
Pierre-Emmanuel Jabin: The mean-field limit of non-exchangeable integrate and fire systems-continued
Pierre-Emmanuel Jabin: The mean-field limit of non-exchangeable integrate and fire systems
Sepideh Mirrahimi: A moment-based approach for the analysis of the infinitesimal model
Pierre Gabriel: The principal eigenvalue of time-periodic nonlocal equations with drift
Zhifei Zhang: Stability threshold of 2-D Couette flow for the Navier-Stokes equations
Takayoshi Ogawa : Endpoint Maximal Regularity in BMO and its Application to Fluid Mechanics
Boris Muha: The Role of Dissipation in the Existence of Time-Periodic Solutions to PDE Systems
Charlotte Perrin: A one-dimensional model for suspension flows
Valentina Franceschi : Mean convex mean curvature flow in the Heisenberg group
Interview at CIRM: José A. Carrillo
Amina Mecherbet : Homogenization of Stokes-Brinkman type models and mean field limit - Lecture 3
Amina Mecherbet : Homogenization of Stokes-Brinkman type models and mean field limit - Lecture 1
Amina Mecherbet : Homogenization of Stokes-Brinkman type models and mean field limit - Lecture 2
Alessia Nota: Recent advances on the Smoluchowski coagulation equation under non-equilibrium...
Frédérique Charles: Diffusion asymptotic of a kinetic modelfor gas-particle mixture with energy...
Galina Perelman: On global well-posedness for the derivative nonlinear Schrödinger equation on...
Enno Lenzmann: Global well posedness and soliton resolution for the half-wave maps equation with...
Thierry Laurens: Continuum Calogero–Moser models
Deniz Bilman: Extreme superposition: rogue waves of infinite order: https://youtu.be/9JZgx8eN7rA
Sergey Nadtochiy: Second order mean-curvature flow as a mean-field game
Vlad Vicol: On anomalous diffusion - lecture 1
Vlad Vicol: On anomalous diffusion - lecture 2
Scott Armstrong: On anomalous diffusion - Lecture 1
Scott Armstrong: On anomalous diffusion - Lecture 2
Gregory Eyink: Lagrangian Spontaneous Stocahsticity - Lecture 1
Gregory Eyink: Eulerian Spontaneous Stocahsticity - Lecture 2
Gregory Eyink: Whither Spontaneous Stocahsticity? - Lecture 3
Anne-Laure Dalibard: Instabilities and singularities within fluid boundary layers - Lecture 1
Anne-Laure Dalibard: Instabilities and singularities within fluid boundary layers - Lecture 2
Anne-Laure Dalibard: Instabilities and singularities within fluid boundary layers - Lecture 3
Nana Liu: Quantum simulation of partial differential equations via Schrodingerisation - Lecture 2
Nana Liu: Quantum simulation of partial differential equations via Schrodingerisation - Lecture 1
Martin Hairer: Fine properties of random fields: from fluids to QTF
Arnaud Debussche: From correlated to white transport noise in fluid models
Anne De Bouard: The Gibbs measure of the renormalized two dimensional stochastic Gross-Pitaevskii
Anne-Sophie Bonnet-Ben Dhia: An introduction to electromagnetic waveguides - Lecture 2
Rayan Fahs: Local decay and asymptotic profile for the damped wave equation in the asymptotically
Patrick Joly: An introduction to electromagnetic waveguides - Lecture 1
Michael Weinstein: Quantum tunneling in magnetic systems
Michael Weinstein: Edge states in periodic and aperiodic structures