Analysis of the \(M 1\) model: well-posedness and diffusion asymptotics

DOI10.1016/j.jmaa.2013.01.042zbMath1307.35183OpenAlexW2050657858MaRDI QIDQ1947321

Chunjin Lin, Thierry Goudon

Publication date: 22 April 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.01.042

zbMATH Keywords

diffusion approximationhyperbolic systemsinitial value problemrelaxationradiative transferglobal existence of smooth solutions\(M 1\) model

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) First-order nonlinear hyperbolic equations (35L60) Boltzmann equations (35Q20)

Related Items (11)

Optimization and large scale computation of an entropy-based moment closure ⋮ Nonlinear flux-limited models for chemotaxis on networks ⋮ Long-time behavior of solutions to the \(M_1\) model with boundary effect ⋮ The $M_1$ Angular Moments Model in a Velocity-Adaptive Frame for Rarefied Gas Dynamics Applications ⋮ Convergence rates in zero-relaxation limits for Euler-Maxwell and Euler-Poisson systems ⋮ Global quasi-neutral limit of Euler-Maxwell systems with velocity dissipation ⋮ Uniform global existence and parabolic limit for partially dissipative hyperbolic systems ⋮ Optimal decay rates of solutions to hyperbolic conservation laws with damping ⋮ Convergence rate from hyperbolic systems of balance laws to parabolic systems ⋮ Convergence rate from systems of balance laws to isotropic parabolic systems, a periodic case ⋮ Convergence to nonlinear diffusion waves for solutions of \(M_1\) model

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