Viscous Burgers equation driven by point source: a formula for the weak limit
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914315604328448 |
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| author | Pal, Smritikana Sahoo, Manas R. |
| author_facet | Pal, Smritikana Sahoo, Manas R. |
| contents | In this article, we obtain the weak limit of the solutions of the viscous Burgers equation driven by a point source term, as the coefficient of viscosity tends to zero. The weak limit is related to the variational problem that consists of three types of functional, which is not usual in the absence of the source term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_08496 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Viscous Burgers equation driven by point source: a formula for the weak limit Pal, Smritikana Sahoo, Manas R. Analysis of PDEs 35D30, 35F25, 35L03, 35L65, 35L67 In this article, we obtain the weak limit of the solutions of the viscous Burgers equation driven by a point source term, as the coefficient of viscosity tends to zero. The weak limit is related to the variational problem that consists of three types of functional, which is not usual in the absence of the source term. |
| title | Viscous Burgers equation driven by point source: a formula for the weak limit |
| topic | Analysis of PDEs 35D30, 35F25, 35L03, 35L65, 35L67 |
| url | https://arxiv.org/abs/2602.08496 |