Convergence to rarefaction waves for the nonlinear Boltzmann equation and compressible Navier-Stokes equations
From MaRDI portal
Publication:983271
DOI10.1016/j.jde.2010.03.011zbMath1203.35184OpenAlexW1989835101MaRDI QIDQ983271
Publication date: 22 July 2010
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2010.03.011
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) Euler equations (35Q31) Boltzmann equations (35Q20)
Related Items
Zero dissipation limit to rarefaction waves for the one-dimensional compressible Navier-Stokes equations with selected density-dependent viscosity ⋮ Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional full compressible Navier-Stokes equations ⋮ Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional compressible Navier-Stokes equations ⋮ Stability of the Rarefaction Wave of the Vlasov--Poisson--Boltzmann System ⋮ Incompressible hydrodynamic approximation with viscous heating to the Boltzmann equation ⋮ Zero dissipation limit to a rarefaction wave with a vacuum for a compressible, heat conducting reacting mixture ⋮ Hydrodynamic limit of Boltzmann equations for gas mixture ⋮ Stability of rarefaction waves for the non-cutoff Vlasov-Poisson-Boltzmann system with physical boundary ⋮ The Vlasov-Poisson-Boltzmann system for a disparate mass binary mixture ⋮ Small Knudsen rate of convergence to contact wave for the Landau equation ⋮ Viscous limits of the compressible Navier–Stokes equations to piecewise smooth solutions with two interacting out-going shocks ⋮ Stability of planar rarefaction wave to the 3D bipolar Vlasov–Poisson–Boltzmann system ⋮ On the Strong Solution of the Ghost Effect System ⋮ Zero‐viscosity‐capillarity limit towards rarefaction wave for the full Navier–Stokes–Korteweg system of compressible fluids ⋮ Stability of the Superposition of a Viscous Contact Wave with Two Rarefaction Waves to the Bipolar Vlasov--Poisson--Boltzmann System ⋮ Zero dissipation limit to rarefaction wave with vacuum for the one-dimensional non-isentropic micropolar equations ⋮ Zero dissipation limit to a Riemann solution consisting of two shock waves for the 1D compressible isentropic Navier-Stokes equations ⋮ Compressible Navier-Stokes approximation to the Boltzmann equation ⋮ Vanishing mean free path limit for interacting shock waves of Broadwell equation ⋮ Zero dissipation limit to rarefaction waves for the 1-D compressible Navier-Stokes equations ⋮ Convergence to the superposition of rarefaction waves and contact discontinuity for the 1-D compressible Navier-Stokes-Korteweg system ⋮ Vanishing viscosity limit of the compressible Navier-Stokes equations for solutions to a Riemann problem ⋮ The Boltzmann equation with soft potentials near a local Maxwellian ⋮ Small Knudsen rate of convergence to rarefaction wave for the Landau equation ⋮ Hilbert expansion of the Boltzmann equation with specular boundary condition in half-space ⋮ Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks ⋮ Hydrodynamic Limit of the Boltzmann Equation to the Planar Rarefaction Wave in Three Dimensional Space ⋮ Thermal creep flow for the Boltzmann equation ⋮ Justification of limit for the Boltzmann equation related to Korteweg theory ⋮ Fluid dynamic limit to rarefaction wave for the Boltzmann equation ⋮ Nonlinear stability of planar rarefaction wave to the three-dimensional Boltzmann equation ⋮ Vanishing viscosity limit of the 2D micropolar equations for planar rarefaction wave to a Riemann problem ⋮ The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients ⋮ Zero‐viscosity‐capillarity limit to rarefaction waves for the 1D compressible Navier–Stokes–Korteweg equations ⋮ Stability of Superposition of Two Viscous Shock Waves for the Boltzmann Equation ⋮ Heat transfer problem for the Boltzmann equation in a channel with diffusive boundary condition
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Energy method for Boltzmann equation
- Shock profile solutions of the Boltzmann equation
- Stability of contact discontinuity for the Boltzmann equation
- Contact discontinuity with general perturbations for gas motions
- On a boundary layer problem for the nonlinear Boltzmann equation
- On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation
- Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas
- Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation
- Fluid-dynamic limit for the centered rarefaction wave of the Broadwell equation
- Boltzmann equation: micro-macro decompositions and positivity of shock profiles
- Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations
- Kinetic theory and fluid dynamics
- Nonlinear stability of rarefaction waves for the Boltzmann equation
- Hyperbolic systems of conservation laws II
- Vanishing Viscosity Limit to Rarefaction Waves for the Navier--Stokes Equations of One-Dimensional Compressible Heat-Conducting Fluids
- Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
- On the initial layer and the existence theorem for the nonlinear Boltzmann equation
- The fluid dynamic limit of the nonlinear boltzmann equation
- The fluid-dynamical limit of a nonlinear model boltzmann equation
- The fluid-dynamic limit of the Broadwell model of the nonlinear Boltzmann equation in the presence of shocks
- THE CLASSICAL INCOMPRESSIBLE NAVIER-STOKES LIMIT OF THE BOLTZMANN EQUATION
- Zero dissipation limit to rarefaction waves for the one‐dimensional navier‐stokes equations of compressible isentropic gases
- Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
- The Boltzmann equation in the whole space
- Asymptotic Theory of the Boltzmann Equation