| Autor: |
KHALFI, HAMZA, FAHIM, HOUDA, ALAA, NOUR EDDINE |
| Předmět: |
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| Zdroj: |
Annals of the University of Craiova. Mathematics & Computer Science Series; 2019, Vol. 46 Issue 1, p90-98, 9p |
| Abstrakt: |
This paper tackles the problem of proving global existence for an abstract non-linear Reaction-Diffusion system inspired by the famous Weickert model [16]. We show the existence of a global weak solution to a truncated version of the proposed system using a fixed point approach. Then, we establish some crucial estimates under Quasi-positivity and a Triangular Structure condition on the nonlinearities [3]. On passage to the limit, we recover the original system and prove the existence for only integrable nonlinearities and initial conditions. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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