Artículo
A mixed nonlinear time-fractional Rayleigh-Stokes equation
Autor/es | Au, Vo Van
Caraballo Garrido, Tomás |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2022-07-01 |
Fecha de depósito | 2023-11-06 |
Publicado en |
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Resumen | . 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 |
Cita | 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. |
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