The Green's function and large-time behavior of solutions for the one-dimensional Boltzmann equation
From MaRDI portal
Publication:4651898
DOI10.1002/cpa.20011zbMath1111.76047OpenAlexW2154955497MaRDI QIDQ4651898
Publication date: 23 February 2005
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.20011
Asymptotic behavior of solutions to PDEs (35B40) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Fundamental solutions to PDEs (35A08) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Initial value problems for linear first-order PDEs (35F10)
Related Items
GREEN'S FUNCTION AND LARGE TIME BEHAVIOR OF THE NAVIER–STOKES–MAXWELL SYSTEM, Space-time behavior of the solution to the Boltzmann equation with soft potentials, Propagation phenomena of the solution for the relativistic BGK model, Nonlinear wave propagations over a Boltzmann shock profile, Spectrum analysis of the linearized relativistic Landau equation, Initial-boundary value problem for p-system with damping in half space, Stability of the Boltzmann equation with potential forces on torus, The Broadwell model with a subsonic boundary, Optimal time decay of the Boltzmann system for gas mixtures, On the solution of a Boltzmann system for gas mixtures, The development of the Green's function for the Boltzmann equation, Spectrum analysis of some kinetic equations, Asymptotics toward viscous contact waves for solutions of the Landau equation, Large time behavior of the 1D isentropic Navier-Stokes-Poisson system, Bifurcation on boundary data for linear broadwell model with conservative boundary condition, Nonlinear stability of the 1D Boltzmann equation in a periodic box, Half space problem for Euler equations with damping in 3-D, The boundary structure of zero-temperature driven hard spheres, Pointwise estimates for bipolar compressible Navier-Stokes-Poisson system in dimension three, Letter to the editors in chief, Nonlinear stability of the Boltzmann equation in a periodic box, Large-time behavior of solutions for the Boltzmann equation with hard potentials, Asymptotic stability of the relativistic Boltzmann equation for the soft potentials, Global Solution for the Spatially Inhomogeneous Non-cutoff Kac Equation, Pointwise description for the linearized Fokker-Planck-Boltzmann model, Invariant manifolds for steady Boltzmann flows and applications, A revisit of the velocity averaging lemma: on the regularity of stationary Boltzmann equation in a bounded convex domain, Green's function and pointwise estimate for a generalized Poisson‐Nernst‐Planck‐Navier‐Stokes model in dimension three, Spectrum structure and decay rate estimates on the Landau equation with Coulomb potential, Solving the non-isentropic Navier-Stokes equations in odd space dimensions: The Green function method, Half space problem of the system of compressible adiabatic flow through porous media in multi-D, Time-asymptotic expansion with pointwise remainder estimates for 1D viscous compressible flow, Green's function and pointwise behavior of the one-dimensional Vlasov-Maxwell-Boltzmann system, Mixture estimate in fractional sense and its application to the well-posedness of the Boltzmann equation with very soft potential, Green’s function for solving initial-boundary value problem of evolutionary partial differential equations, The regularity and uniqueness of a global solution to the isentropic Navier-Stokes equation with rough initial data, BGK Model for Two-Component Gases Near a Global Maxwellian, On \(C^2\) solution of the free-transport equation in a disk, Green's function and pointwise behaviors of the one-dimensional modified Vlasov-Poisson-Boltzmann system, Semigroup decay of the linearized Boltzmann equation in a torus, Spatial behavior of the solution to the linearized Boltzmann equation with hard potentials, Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations, Regularity of Stationary Solutions to the Linearized Boltzmann Equations, THE GREEN'S FUNCTION FOR THE BROADWELL MODEL WITH A TRANSONIC BOUNDARY, Initial and shock layers for Boltzmann equation, Boltzmann systems for gas mixtures in 1D torus, Green’s function and pointwise convergence for compressible Navier-Stokes equations, Hypocoercivity for the linear Boltzmann equation with confining forces, Long-time behavior of a point mass in a one-dimensional viscous compressible fluid and pointwise estimates of solutions, Global smooth dynamics of a fully ionized plasma with long-range collisions, The pointwise estimate of solutions to the parabolic conservation law in multi-dimensions, Relativistic Boltzmann Equation: Large Time Behavior and Finite Speed of Propagation, Behaviour of the Fokker-Planck-Boltzmann equation near a Maxwellian, Boundary wave propagator for compressible Navier-Stokes equations, Regularity for diffuse reflection boundary problem to the stationary linearized Boltzmann equation in a convex domain, NONLINEAR STABILITY OF THE INITIAL-BOUNDARY VALUE PROBLEM FOR THE BROADWELL MODEL AROUND A MAXWELLIAN, The initial boundary value problem for the Boltzmann equation with soft potential, A revisiting of the \(L^2\)-stability theory of the Boltzmann equation near global Maxwellians, Generalized Huygens' principle for a reduced gravity two and a half layer model in dimension three, Optimal time-decay rates of the Boltzmann equation, Spectrum Structure and Behaviors of the Vlasov--Maxwell--Boltzmann Systems, Equilibrating effects of boundary and collision in rarefied gases, Decay and continuity of the Boltzmann equation in bounded domains, Optimal time decay of the Vlasov-Poisson-Boltzmann system in \({\mathbb R^3}\), Broadwell model and conservative supersonic boundary, Quantitative pointwise estimate of the solution of the linearized Boltzmann equation, Multi-dimensional wave propagation over a Burgers shock profile, \(L ^{2}\)-stability theory of the Boltzmann equation near a global Maxwellian, Spectrum analysis for the Vlasov-Poisson-Boltzmann system, Pointwise convergence to Knudsen layers of the Boltzmann equation, Green's function and pointwise space-time behaviors of the Vlasov-Poisson-Boltzmann system, Stochastic formulation for the initial-boundary value problems of the Boltzmann equation, Optimal large-time behavior of the Vlasov-Maxwell-Boltzmann system in the whole space, Ellipsoidal BGK model near a global Maxwellian in the whole space, Finite speed of propagation of the relativistic Landau and Boltzmann equations, Explicit structure of the Fokker-Planck equation with potential, Wave phenomena to the three-dimensional fluid-particle model, Symmetry of the linearized Boltzmann equation and its application, Aspects of dissipation for compressible fluids and kinetic theory, Green's function and the pointwise behaviors of the Vlasov-Poisson-Fokker-Planck system, The half-space problem for the Boltzmann equation with phase transition at the boundary, The Boltzmann Equation in Bounded Domains, Microscopic and soliton-like solutions of the Boltzmann-Enskog and generalized Enskog equations for elastic and inelastic hard spheres, Spectrum analysis of the linear Fokker–Planck equation, Viscous Scalar Rarefaction Waves, Large-time behavior of the two-species relativistic Landau-Maxwell system in \(\mathbb{R}_x^3\)
Cites Work
