Name
Abstract | ||
|---|---|---|
The convergence of the Boltzmann equation to the compressible Euler equations when the Knudsen number tends to zero has been a long-standing open problem in kinetic theory. In the setting of a Riemann solution that contains the generic superposition of shock, rarefaction wave, and contact discontinuity to the Euler equations, we succeed in justifying this limit by introducing hyperbolic waves with different solution backgrounds to capture the extra masses carried by the hyperbolic approximation of the rarefaction wave and the diffusion approximation of contact discontinuity. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1137/120898541 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
hydrodynamic limit,Boltzmann equation,Euler equations,Riemann solution | Boltzmann equation,Mathematical analysis,Discontinuity (linguistics),Riemann hypothesis,Semi-implicit Euler method,Backward Euler method,Classical mechanics,Euler equations,Mathematics,Riemann problem,Rarefaction | Journal |
Volume | Issue | ISSN |
45 | 3 | 0036-1410 |
Citations | PageRank | References |
2 | 0.91 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Feimin Huang | 1 | 11 | 7.68 |
| Yi Wang | 2 | 3 | 3.76 |
| Yong Wang | 3 | 7 | 3.48 |
| Tong Yang | 4 | 32 | 11.43 |