Rough Solutions of the Relativistic Euler Equations

Watch a General Relativity Seminar presentation from Vanderbilt University's Sifan Yu exploring recent developments in relativistic Euler equations with dynamic vorticity and entropy. Delve into a novel geometric formulation that decomposes fluid flow into "sound-wave" and "transport-div-curl" components, enabling sharp dynamic analysis and low-regularity solution existence. Learn about the control of Sobolev norm H^{2+} for wave-part variables and Hölder norm C^{0,0+} for transport-part variables, with emphasis on the optimality of H^{2+} Sobolev norm results. Examine proof methodologies and compare relativistic versus non-relativistic scenarios in this advanced mathematical physics discussion.