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math.AP2021
Well-posedness of an inverse problem for two and three dimensional convective Brinkman-Forchheimer equations with the final overdetermination
Pardeep Kumar, Manil T. Mohan
In this article, we study an inverse problem for the following convective Brinkman-Forchheimer (CBF) equations: \begin{align*} \boldsymbol{u}_t-μΔ\boldsymbol{u}+(\boldsymbol{u}\cdo…
math.AP2021
A local in time existence and uniqueness result of an inverse problem for the Kelvin-Voigt fluids
Pardeep Kumar, Kush Kinra, Manil T. Mohan
In this paper, we consider an inverse problem for three dimensional viscoelastic fluid flow equations, which arises from the motion of Kelvin-Voigt fluids in bounded domains (a hyp…