| Abstract: |
| The stability of entropy solutions to the compressible Euler equations on a halfline with prescribed boundary conditions (such as inflow; outflow; impermeable problems)
remains a largely open problem. For the Euler system as hyperbolic equations, the dimension of admissible boundary set depends on the characteristic speeds, making it highly nontrivial to determine under which boundary set the stability can be guaranteed. Even the fundamental questions on how a single Riemann shock approaching the boundary behaves
and whether such a shock is stable remains open.
In this talk, I will present a recent progress concerning these problems. |
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