论文信息 - Optimal L1 rate of decay to diffusion waves for the Hamer model of radiating gases

Optimal L1 rate of decay to diffusion waves for the Hamer model of radiating gases

Abstract We are concerned with the asymptotic behavior of the solutions of a simplified model describing the evolution of a radiating gas. More precisely, we shall prove the convergence of H s solutions toward the classical diffusion wave of the viscous Burgers equation by means of entropy methods. The result is also endowed with the same L 1 rate of convergence as that case.

Marco Di Francesco | Corrado Lattanzio

[1] On space-time decay properties of solutions to hyperbolic-elliptic coupled systems , 2002 .

[2] Giuseppe Toscani,et al. ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS , 2001 .

[3] Denis Serre,et al. Chapter 7 L1-stability of nonlinear waves in scalar conservation laws , 2002 .

[4] K. Hamer. NON-LINEAR EFFECTS ON THE PROPAGATION OF SOUND WAVES IN A RADIATING GAS , 1971 .

[5] L. Gross. LOGARITHMIC SOBOLEV INEQUALITIES. , 1975 .

[6] Corrado Lattanzio,et al. Global well-posedness and relaxation limits of a model for radiating gas , 2003 .

[7] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.

[8] F. Otto. THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION , 2001 .

[9] T. Teichmann,et al. Introduction to physical gas dynamics , 1965 .

[10] A. Arnold,et al. On generalized Csiszár-Kullback inequalities , 2000 .

[11] J. A. Carrillo,et al. Asymptotic L1-decay of solutions of the porous medium equation to self-similarity , 2000 .

[12] Manuel del Pino,et al. Best constants for Gagliardo–Nirenberg inequalities and applications to nonlinear diffusions☆ , 2002 .

[13] E. Tadmor,et al. The regularized Chapman-Enskog expansion for scalar conservation laws , 1992 .