Abstract
In this paper, we consider the Navier–Stokes equation with memory term in a three-dimensional bounded domain. The equation is the so-called Oldroyd fluid model equation, which can describe the stress relaxation as well as the retardation of deformation due to the memory term. For this equation we considered the inverse problem for recovering the kernel of memory term in this model equation from the measurement described as the integral over determination condition. We obtained a local in time existence and uniqueness for this inverse problem.
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