arXiv subjects

Ke Tran Dinh

Publications and source records attributed to Ke Tran Dinh.

2 recordsLinked to original sources

arXiv2022

On global solvability and regularity for generalized Rayleigh-Stokes equations with history-dependent nonlinearities

We are concerned with the initial value problem governed by generalized Rayleigh-Stokes equations, where the nonlinearity depends on history states and takes values in Hilbert scales of negative order. The solvability and Hölder regularity of solutions are proved by using fixed point arguments and embeddings of fractional Sobolev spaces. An application to a related inverse source problem is given.

math.AP↗

arXiv2021

On stability for semilinear generalized Rayleigh-Stokes equation involving delays

We consider a functional semilinear Rayleigh-Stokes equation involving fractional derivative. Our aim is to analyze some circumstances, in those the global solvability and some results on asymptotic behavior of solutions take place. By establishing a new Halanay type inequality, we show the dissipativity and asymptotic stability of solutions to our problem. In addition, we prove the existence of a compact set of decay solutions by using local estimates and fixed point arguments.

math.AP↗