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Explore the complex world of plasma turbulence dynamics in this 70-minute webinar from SIAM's Seminar in the Analysis and Methods of PDE series. Join Irene Gamba from the University of Texas, Austin, as she delves into quasilinear diffusion models for electrostatic and highly magnetized plasma systems. Discover how these models emerge from small perturbations of equilibrium states and their connection to mean field systems. Examine the validity of ergodic and random phase approximation regimes, and understand the coupling of particles in momenta and Lorentz forces in spectral space. Gain insights into instabilities arising from moving Gaussians and their impact on Maxwellian limiting states. Learn about the one-dimensional model for electrostatic systems, including the existence of global in-time solutions and the influence of porous media flow models. Benefit from the collaborative research with Kun Huang, Michael Abdelmalik, and Boris Briezman, which provides numerical approximations to non-equilibrium statistical states. The webinar concludes with a Q&A session, offering an opportunity to deepen your understanding of this cutting-edge research in plasma physics and applied mathematics.
