Abstract
We are concerned with the shock diffraction configuration for isothermal gas modeled by the conservation laws of nonlinear wave system. We reformulate the shock diffraction problem into a linear degenerate elliptic equation in a fixed bounded domain. The degeneracy is of Keldysh type—the derivative of a solution blows up at the boundary. We establish the global existence of solutions and prove the C012-regularity of solutions near the degenerate boundary. We also compare the difference of solutions between the isothermal gas and the polytropic gas.
| Original language | English |
|---|---|
| Pages (from-to) | 1130-1140 |
| Number of pages | 11 |
| Journal | Acta Mathematica Scientia |
| Volume | 41 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Jul 2021 |
Bibliographical note
Publisher Copyright:© 2021, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences.
Keywords
- 35J70
- 35L67
- 35M10
- Nonlinear wave system
- Riemann problem
- degenerate elliptic equation
- isothermal gas
- regularity
- shock diffraction
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