Regularity of the solution for a final value problem for the Rayleigh‐Stokes equation

Authors: Nguyễn Huy Tuấn, Nguyễn Hoàng Lực, Yong Zhou, Nguyễn Huy Tuấn,

https://doi.org/10.1002/mma.5593

Publisher, magazine: ,

Publication year: 2019

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Abstract

In this paper, we deal with the backward problem of determining initial condition for Rayleigh‐Stokes where the data are given at a fixed time. The problem has many applications in some non‐Newtonian fluids. We give some regularity properties of the solution to backward problem.

Tags: final value problem, fractional Rayleigh-Stokes equation, regularity