Article
A mixed nonlinear time-fractional Rayleigh-Stokes equation
Author/s | Au, Vo Van
Caraballo Garrido, Tomás |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2022-07-01 |
Deposit Date | 2023-11-06 |
Published in |
|
Abstract | . This paper investigates a nonlinear time-fractional Rayleigh-Stokes
equation with mixed nonlinearities containing a power-type function, a logarithmic function and an inverse time-forcing term. Applying Lagrange’s ... . This paper investigates a nonlinear time-fractional Rayleigh-Stokes equation with mixed nonlinearities containing a power-type function, a logarithmic function and an inverse time-forcing term. Applying Lagrange’s mean value theorem and the compactness of the Sobolev embeddings, we estimate the complex Lipschitz property of mixed nonlinearity. We investigate the local well-posed results (local existence, regularity estimate, continuation) of the solutions in Hilbert scales space. Moreover, the global existence theory affiliated to the finite-time blow-up is considered |
Citation | Au, V.V. y Caraballo Garrido, T. (2022). A mixed nonlinear time-fractional Rayleigh-Stokes equation. American institute of mathematical sciences, 16 (10), 2589-2612. https://doi.org/10.3934/dcdss.2022182. |
Files | Size | Format | View | Description |
---|---|---|---|---|
A MIXED NONLINEAR TIME-FRACTIO ... | 401.5Kb | [PDF] | View/ | |