Structural stability for scalar reaction-diffusion equations
In this paper, we prove the structural stability for a family of scalar reactiondiffusion equations. Our arguments consist of using invariant manifold theorem to reduce the problem to a finite dimension and then, we use the structural stability of Morse–Smale flows in a finite dimension to obtain th...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2023
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet - parciális, Dinamikus rendszer |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2023.1.54 |
| Online Access: | http://acta.bibl.u-szeged.hu/88797 |
| Tartalmi kivonat: | In this paper, we prove the structural stability for a family of scalar reactiondiffusion equations. Our arguments consist of using invariant manifold theorem to reduce the problem to a finite dimension and then, we use the structural stability of Morse–Smale flows in a finite dimension to obtain the corresponding result in infinite dimension. As a consequence, we obtain the optimal rate of convergence of the attractors and estimate the Gromov–Hausdorff distance of the attractors using continuous ε-isometries. |
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| Terjedelem/Fizikai jellemzők: | 12 |
| ISSN: | 1417-3875 |