Entropy inequality and hydrodynamic limits for the Boltzmann equation

DOI10.1098/rsta.2012.0350zbMath1296.35111OpenAlexW1991060355WikidataQ43425527 ScholiaQ43425527MaRDI QIDQ5494573

Laure Saint-Raymond

Publication date: 28 July 2014

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2012.0350

zbMATH Keywords

entropyBoltzmann equationhydrodynamic limits

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (1)

Entropy and convexity for nonlinear partial differential equations

Cites Work

• Compactness in kinetic transport equations and hypoellipticity
• Rate of convergence to equilibrium for the spatially homogeneous Boltzmann equation with hard potentials
• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• The incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials
• Regularity of the moments of the solution of a transport equation
• Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation
• The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
• Convergence of solutions to the Boltzmann equation in the incompressible Euler limit
• Velocity averaging in \(L^1\) for the transport equation
• On the rate of entropy production for the Boltzmann equation
• Relative entropy and hydrodynamics of Ginzburg-Landau models
• Vanishing viscosity solutions of nonlinear hyperbolic systems
• Global weak solutions of the Boltzmann equation
• The fluid dynamic limit of the nonlinear boltzmann equation
• THE CLASSICAL INCOMPRESSIBLE NAVIER-STOKES LIMIT OF THE BOLTZMANN EQUATION
• Density variations in weakly compressible flows
• Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
• Solutions in the large for nonlinear hyperbolic systems of equations
• From the Boltzmann equations to the equations of incompressible fluid mechanics. I, II

This page was built for publication: Entropy inequality and hydrodynamic limits for the Boltzmann equation