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On equations of Navier-Stokes type in moving domains
2007
Matemática contemporânea
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In this work we are concerned with the existence and uniqueness of weak solutions for an initial-boundary value problem associated with equations of Navier-Stokes type in a domain Q with moving boundary. The technique, to show the existence and uniqueness of solutions, consists in transforming Q into a cylinder Q by using a suitable diffeomorphism and to apply in Q the Faedo-Galerkin method and basic result of the theory of monotone operators in the transformed initial-boundary value problem.
doi:10.21711/231766362007/rmc321
fatcat:hk4jkzhsevgjjgzys2uzjg5mny