Inverse problem for nonstationary Oseen model with unilateral and frictional type boundary conditions
Open Access
- 1 January 2026
- journal article
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems - S
Abstract
The goal of the research is to examine inverse problems to identify the divergence-free convection field and acting volume force in the nonstationary Oseen model of generalized Newtonian incompressible fluid. We provide a variational formulation of the flow model and establish existence result for weak solutions. The dependence of solution set on divergence-free convection field and volume force is examined too. Finally, we provide sufficient conditions under which the inverse problem is solvable.Keywords
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