Nonisothermal Richards flow in porous media with cross diffusion
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866914224289087488 |
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| author | Daus, Esther S. Milišić, Josipa Pina Zamponi, Nicola |
| author_facet | Daus, Esther S. Milišić, Josipa Pina Zamponi, Nicola |
| contents | The existence of large-data weak entropy solutions to a nonisothermal immiscible compressible two-phase unsaturated flow model in porous media is proved. The model is thermodynamically consistent and includes temperature gradients and cross-diffusion effects. Due to the fact that some terms from the total energy balance are non-integrable in the classical weak sense, we consider so-called variational entropy solutions. A priori estimates are derived from the entropy balance and the total energy balance. The compactness is achieved by using the Div-Curl lemma. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_00455 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Nonisothermal Richards flow in porous media with cross diffusion Daus, Esther S. Milišić, Josipa Pina Zamponi, Nicola Analysis of PDEs 35K65, 35K70, 35Q35, 35K55, 76S05 The existence of large-data weak entropy solutions to a nonisothermal immiscible compressible two-phase unsaturated flow model in porous media is proved. The model is thermodynamically consistent and includes temperature gradients and cross-diffusion effects. Due to the fact that some terms from the total energy balance are non-integrable in the classical weak sense, we consider so-called variational entropy solutions. A priori estimates are derived from the entropy balance and the total energy balance. The compactness is achieved by using the Div-Curl lemma. |
| title | Nonisothermal Richards flow in porous media with cross diffusion |
| topic | Analysis of PDEs 35K65, 35K70, 35Q35, 35K55, 76S05 |
| url | https://arxiv.org/abs/2102.00455 |