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Well-posedness of evolutionary Navier-Stokes equations with forces of low regularity on two-dimensional domains
Existence and uniqueness of solutions to the Navier-Stokes equations in dimension two with forces in the space L q ((0, T ); W −1, p (Ω)) for p and q in appropriate parameter ranges are proven. The case of spatially measured-valued forces is included. For the associated Stokes equation the …