Generalized Result on Global Existence of Weak Solutions for Parabolic Reaction-Diffusion Systems
In this paper, we study global existence of weak solutions for 2 × 2 parabolic reaction-diffusion systems with a full matrix of diffusion coefficients on a bounded domain, such as, we treat the main properties related: the positivity of the solutions and the total mass of the components are preserve...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2023-03-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/2760 |
| _version_ | 1797796001537327104 |
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| author | Abdelhamid Bennoui Nabila Barrouk Mounir Redjouh |
| author_facet | Abdelhamid Bennoui Nabila Barrouk Mounir Redjouh |
| author_sort | Abdelhamid Bennoui |
| collection | DOAJ |
| description | In this paper, we study global existence of weak solutions for 2 × 2 parabolic reaction-diffusion systems with a full matrix of diffusion coefficients on a bounded domain, such as, we treat the main properties related: the positivity of the solutions and the total mass of the components are preserved with time. Moreover, we suppose that the non-linearities have critical growth with respect to the gradient. The technique used is based on compact semigroup methods and some estimates. Our objective is to show, under appropriate hypotheses, that the proposed model has a global solution with a large choice of non-linearities. |
| first_indexed | 2024-03-13T03:26:33Z |
| format | Article |
| id | doaj.art-a5b76bed483a479ba7eb5daf12cc583c |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-03-13T03:26:33Z |
| publishDate | 2023-03-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-a5b76bed483a479ba7eb5daf12cc583c2023-06-25T06:29:47ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392023-03-0121303010.28924/2291-8639-21-2023-302145Generalized Result on Global Existence of Weak Solutions for Parabolic Reaction-Diffusion SystemsAbdelhamid BennouiNabila BarroukMounir RedjouhIn this paper, we study global existence of weak solutions for 2 × 2 parabolic reaction-diffusion systems with a full matrix of diffusion coefficients on a bounded domain, such as, we treat the main properties related: the positivity of the solutions and the total mass of the components are preserved with time. Moreover, we suppose that the non-linearities have critical growth with respect to the gradient. The technique used is based on compact semigroup methods and some estimates. Our objective is to show, under appropriate hypotheses, that the proposed model has a global solution with a large choice of non-linearities.http://etamaths.com/index.php/ijaa/article/view/2760 |
| spellingShingle | Abdelhamid Bennoui Nabila Barrouk Mounir Redjouh Generalized Result on Global Existence of Weak Solutions for Parabolic Reaction-Diffusion Systems International Journal of Analysis and Applications |
| title | Generalized Result on Global Existence of Weak Solutions for Parabolic Reaction-Diffusion Systems |
| title_full | Generalized Result on Global Existence of Weak Solutions for Parabolic Reaction-Diffusion Systems |
| title_fullStr | Generalized Result on Global Existence of Weak Solutions for Parabolic Reaction-Diffusion Systems |
| title_full_unstemmed | Generalized Result on Global Existence of Weak Solutions for Parabolic Reaction-Diffusion Systems |
| title_short | Generalized Result on Global Existence of Weak Solutions for Parabolic Reaction-Diffusion Systems |
| title_sort | generalized result on global existence of weak solutions for parabolic reaction diffusion systems |
| url | http://etamaths.com/index.php/ijaa/article/view/2760 |
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