Analytical Solution to 1D Compressible Navier-Stokes Equations
There exist complex behavior of the solution to the 1D compressible Navier-Stokes equations in half space. We find an interesting phenomenon on the solution to 1D compressible isentropic Navier-Stokes equations with constant viscosity coefficient on x,t∈0,+∞×R+, that is, the solutions to the initial...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6339203 |
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| _version_ | 1832551337619881984 |
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| author | Changsheng Dou Zishu Zhao |
| author_facet | Changsheng Dou Zishu Zhao |
| author_sort | Changsheng Dou |
| collection | DOAJ |
| description | There exist complex behavior of the solution to the 1D compressible Navier-Stokes equations in half space. We find an interesting phenomenon on the solution to 1D compressible isentropic Navier-Stokes equations with constant viscosity coefficient on x,t∈0,+∞×R+, that is, the solutions to the initial boundary value problem to 1D compressible Navier-Stokes equations in half space can be transformed to the solution to the Riccati differential equation under some suitable conditions. |
| format | Article |
| id | doaj-art-d116e56933224f7dbfc68a542db749ed |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d116e56933224f7dbfc68a542db749ed2025-02-03T06:01:48ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/63392036339203Analytical Solution to 1D Compressible Navier-Stokes EquationsChangsheng Dou0Zishu Zhao1School of Statistics, Capital University of Economics and Business, Beijing 100070, ChinaSchool of Statistics, Capital University of Economics and Business, Beijing 100070, ChinaThere exist complex behavior of the solution to the 1D compressible Navier-Stokes equations in half space. We find an interesting phenomenon on the solution to 1D compressible isentropic Navier-Stokes equations with constant viscosity coefficient on x,t∈0,+∞×R+, that is, the solutions to the initial boundary value problem to 1D compressible Navier-Stokes equations in half space can be transformed to the solution to the Riccati differential equation under some suitable conditions.http://dx.doi.org/10.1155/2021/6339203 |
| spellingShingle | Changsheng Dou Zishu Zhao Analytical Solution to 1D Compressible Navier-Stokes Equations Journal of Function Spaces |
| title | Analytical Solution to 1D Compressible Navier-Stokes Equations |
| title_full | Analytical Solution to 1D Compressible Navier-Stokes Equations |
| title_fullStr | Analytical Solution to 1D Compressible Navier-Stokes Equations |
| title_full_unstemmed | Analytical Solution to 1D Compressible Navier-Stokes Equations |
| title_short | Analytical Solution to 1D Compressible Navier-Stokes Equations |
| title_sort | analytical solution to 1d compressible navier stokes equations |
| url | http://dx.doi.org/10.1155/2021/6339203 |
| work_keys_str_mv | AT changshengdou analyticalsolutionto1dcompressiblenavierstokesequations AT zishuzhao analyticalsolutionto1dcompressiblenavierstokesequations |