Proves nonlinear stability and optimal decay rates for entropy waves of the Landau equation on R x T^2 under general perturbations using time-velocity interpolation and a novel transformation.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Hydrodynamic limit of the Boltzmann equation to generic Riemann solutions with shocks and contacts is established in one dimension without removing layers.
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Nonlinear stability and optimal decay rate of the planar entropy wave for Landau equation
Proves nonlinear stability and optimal decay rates for entropy waves of the Landau equation on R x T^2 under general perturbations using time-velocity interpolation and a novel transformation.
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Hydrodynamic Limit of the Boltzmann Equation toward Generic Riemann Solutions with Shocks
Hydrodynamic limit of the Boltzmann equation to generic Riemann solutions with shocks and contacts is established in one dimension without removing layers.