Regularity and stability analysis for semilinear generalized Rayleigh-Stokes equations-Reference-Cited by-同舟云学术

Regularity and stability analysis for semilinear generalized Rayleigh-Stokes equations

Published:2022 Issue:1 Volume:11 Page:259
ISSN:2163-2480
Container-title:Evolution Equations & Control Theory
language:
Short-container-title:EECT

Author:

Lan Do

Abstract

<p style='text-indent:20px;'>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.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Control and Optimization,Modeling and Simulation

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