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math.AP2026
Rough Axisymmetric Euler Dynamics: Global Energy Compactness and Kinetic Passage Across Regularity Breakdown
Gi-Chan Bae, Hongxu Chen, Chanwoo Kim
We establish global energy compactness for rough three-dimensional axisymmetric Euler flow without swirl and use it to construct hydrodynamic limits of collisional kinetic equation…
math.AP2026
Hydrodynamic Limit of the Boltzmann Equation toward Generic Riemann Solutions with Shocks
Mingi Choe, Moon-Jin Kang, Chanwoo Kim
We establish the hydrodynamic limit of the one-dimensional Boltzmann equation with hard-sphere collisions toward Riemann solutions of the compressible Euler system. The Riemann sol…
math.AP2026
Quantitative Closure Analysis toward Ideal Fluids
Gi-Chan Bae, Chanwoo Kim
We establish the incompressible low--Mach/high--Reynolds limit for the Boltzmann equation for a broad class of initial data, without recourse to any asymptotic expansion. Exploitin…