Article
| Title: | Vanishing viscosity of one-dimensional isentropic Navier-Stokes equations with density dependent viscous coefficient (English) |
| Author: | Cui, Meiying |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 75 |
| Issue: | 2 |
| Year: | 2025 |
| Pages: | 397-420 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We study the vanishing viscosity of isentropic compressible Navier-Stokes equations with density dependent viscous coefficient in the presence of shock wave. Given a shock wave to the corresponding Euler equations, we can construct a sequence of solutions to one-dimensional compressible isentropic Navier-Stokes equations which converge to the shock wave as the viscosity tends to zero. The proof is given by an elementary energy method. (English) |
| Keyword: | vanishing viscosity limit |
| Keyword: | compressible isentropic Navier-Stokes equation |
| Keyword: | Euler equation |
| Keyword: | shock wave |
| MSC: | 35Q30 |
| MSC: | 76N06 |
| DOI: | 10.21136/CMJ.2025.0297-22 |
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| Date available: | 2025-05-20T11:42:13Z |
| Last updated: | 2025-05-26 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152948 |
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