Event
01_1
| 제출번호(No.) | 0073 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | Kinetic Theory and Fluid Dynamics (SS-03) |
| 영문제목 (Title(Eng.)) |
On contraction of Navier-Stokes shocks and uniqueness of Euler shocks |
| 저자(Author(s)) |
Kang Moon-Jin1, Alexis Vasseur2 Sookmyung Women's University1, The University of Texas at Austin2 |
| 초록본문(Abstract) | For the compressible Euler equations, it turns out that entropy weak solutions (even for a single shock) are not unique in a class of non-BV entropy weak solutions. A long standing conjecture on uniqueness of entropy weak solutions is as follows: The compressible Euler equations admit a unique entropy weak solution in a class of vanishing viscosity solutions as inviscid limits of solutions to the associated viscous system that is compressible Navier-Stokes system. In this talk, I present a contraction property (in some sense) of any weak perturbations of viscous shocks for the isentropic Navier-Stokes system. The contraction of the viscous shocks does not depend on the viscosity coefficient. Therefore this provides a weak compactness for the inviscid limit problem, that is, entropic discontinuous shocks for the isentropic Euler system are stable and unique in the class of weak inviscid limits of solutions to the Navier-Stokes system. |
| 분류기호 (MSC number(s)) |
35L65, 35L67 |
| 키워드(Keyword(s)) | Isentropic Euler equations, shock wave, uniqueness, inviscid limit |
| 강연 형태 (Language of Session (Talk)) |
Korean |