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The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids

The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids

Abstract : The initial value problem associated with the equations of motion for isotropic Newtonian fluids is investigated. The fluids are compressible, viscous and heat-conductive. It is proved that there exists a unique global solution in time, for the small initial data, and the solution has the decay rate of …