Name
Title | ||
|---|---|---|
L-1-CONVERGENCE TO GENERALIZED BARENBLATT SOLUTION FOR COMPRESSIBLE EULER EQUATIONS WITH TIME-DEPENDENT DAMPING |
Abstract | ||
|---|---|---|
In this paper, the large time behavior of an entropy solution to the compressible Euler equations for polytropic gas (the pressure p(rho) = kappa rho(gamma), gamma > 1) with time-dependent damping like -1/(1+t)(lambda)rho u (0 < lambda < 1) is investigated. By introducing an elaborate iterative method and using intensive entropy analysis, it is proved that the L-infinity entropy solution of compressible Euler equations with finite initial mass converges strongly in the natural L-1 topology to a fundamental solution of the porous medium equation (PME) with time-dependent diffusion, called a generalized Barenblatt solution. It is interesting that the L-1 decay rate is getting faster and faster as lambda increases in (0, gamma/gamma+2], while is getting slower and slower in [gamma\gamma+2, 1). |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1137/20M1361043 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | DocType | Volume |
convergence rates, compressible Euler equations, generalized Barenblatt solution, time-dependent damping, compensated compactness | Journal | 53 |
Issue | ISSN | Citations |
5 | 0036-1410 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shifeng Geng | 1 | 0 | 0.68 |
| Feimin Huang | 2 | 11 | 7.68 |
| Xiaochun Wu | 3 | 0 | 0.34 |