Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional radiative hydrodynamics
In this paper, we are concerned with the vanishing viscosity problem in two-dimensional radiative hydrodynamics. We prove that two-dimensional radiative hydrodynamics converge to the planar rarefaction wave solution for the corresponding two-dimensional compressible Euler equations. By introducing a...
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AIMS Press
2025-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025223 |
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| author | Guangrong Ren |
| author_facet | Guangrong Ren |
| author_sort | Guangrong Ren |
| collection | DOAJ |
| description | In this paper, we are concerned with the vanishing viscosity problem in two-dimensional radiative hydrodynamics. We prove that two-dimensional radiative hydrodynamics converge to the planar rarefaction wave solution for the corresponding two-dimensional compressible Euler equations. By introducing a different scaling and identifying cancellations within the flux terms, we establish a new convergence rate with the assistance of detailed energy estimates. |
| format | Article |
| id | doaj-art-c19da297c30d45639c9a1deba8bb258d |
| institution | OA Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-c19da297c30d45639c9a1deba8bb258d2025-08-20T01:54:41ZengAIMS PressAIMS Mathematics2473-69882025-03-011034860489810.3934/math.2025223Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional radiative hydrodynamicsGuangrong Ren0School of Mathematics, Hefei University of Technology, Hefei 230009, ChinaIn this paper, we are concerned with the vanishing viscosity problem in two-dimensional radiative hydrodynamics. We prove that two-dimensional radiative hydrodynamics converge to the planar rarefaction wave solution for the corresponding two-dimensional compressible Euler equations. By introducing a different scaling and identifying cancellations within the flux terms, we establish a new convergence rate with the assistance of detailed energy estimates.https://www.aimspress.com/article/doi/10.3934/math.2025223navier-stokes equationsradiation termplanar rarefaction wavevanishing viscosity |
| spellingShingle | Guangrong Ren Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional radiative hydrodynamics AIMS Mathematics navier-stokes equations radiation term planar rarefaction wave vanishing viscosity |
| title | Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional radiative hydrodynamics |
| title_full | Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional radiative hydrodynamics |
| title_fullStr | Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional radiative hydrodynamics |
| title_full_unstemmed | Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional radiative hydrodynamics |
| title_short | Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional radiative hydrodynamics |
| title_sort | vanishing viscosity limit to the planar rarefaction wave for the two dimensional radiative hydrodynamics |
| topic | navier-stokes equations radiation term planar rarefaction wave vanishing viscosity |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025223 |
| work_keys_str_mv | AT guangrongren vanishingviscositylimittotheplanarrarefactionwaveforthetwodimensionalradiativehydrodynamics |