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Regularity and stability analysis for semilinear generalized Rayleigh-Stokes equations.
- Source :
- Evolution Equations & Control Theory; Feb2022, Vol. 11 Issue 1, p259-282, 24p
- Publication Year :
- 2022
-
Abstract
- We study the generalized Rayleigh-Stokes problem involving a fractional derivative and nonlinear perturbation. Our aim is to analyze some sufficient conditions ensuring the global solvability, regularity and asymptotic stability of solutions. In particular, if the nonlinearity is Lipschitzian then the mild solution of the mentioned problem becomes a classical one and its convergence to equilibrium point is proved. [ABSTRACT FROM AUTHOR]
- Subjects :
- EQUATIONS
EQUILIBRIUM
STOKES flow
STOKES equations
Subjects
Details
- Language :
- English
- ISSN :
- 21632472
- Volume :
- 11
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Evolution Equations & Control Theory
- Publication Type :
- Academic Journal
- Accession number :
- 154953442
- Full Text :
- https://doi.org/10.3934/eect.2021002