Inverse problems for a Boussinesq system for incompressible viscoelastic fluids

Author:

Antontsev S. N.12,Khompysh Kh.3ORCID

Affiliation:

1. CMAFCIO ‐ Universidade de Lisboa Lisboa Portugal

2. Lavrentyev Institute of Hydrodynamics SB RAS Novosibirsk Russia

3. Al‐Farabi Kazakh National University Almaty Kazakhstan

Abstract

In this paper, we study two inverse problems for the nonlinear Boussinesq system for incompressible viscoelastic nonisothermal Kelvin–Voigt fluids. The studying inverse problems consist of determining an intensities of density of external forces and heat source under given integral overdetermination conditions. Two types of boundary conditions for the velocity are considered: sticking and sliding conditions on boundary. In both cases of these boundary conditions, the local and global in time existence and uniqueness of weak and strong solutions are established under suitable assumptions on the data. The large time behavior of weak solutions is also studied.

Funder

Ministry of Education and Science of the Republic of Kazakhstan

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference29 articles.

1. Solvability of the inverse problem for a heat convection system with integral condition of overdetermination;Abylkairov U. U.;Appl. Math. Sci.,2015

2. Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I;Agmon S.;II. Comm. Pure Appl. Math.,1959

3. Energy Methods for Free Boundary Problems

4. The classical Kelvin–Voigt problem for incompressible fluids with unknown non-constant density: existence, uniqueness and regularity

5. An inverse problem for generalized Kelvin–Voigt equation with p-Laplacian and damping term

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