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Theme for TIFR Centre For Applicable Mathematics, Bangalore

Abstract : In this talk, we consider an initial and boundary value problem modelling the motion of a rigid body in a heat conducting gas. The solid is supposed to be a perfect thermal insulator. The gas is described by the compressible Navier-Stokes-Fourier equations, whereas the motion of the solid is governed by Newton's laws. The main results assert the existence of global in time strong solutions for small initial data, in an $$L^p$$-$$L^q$$ setting.