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Global well-posedness for Euler-Voigt equations. (Chinese. English summary) Zbl 1413.35386

Summary: By Galerkin method, we found the global existence of the solutions to Euler-Voigt equations with Dirichlet boundary conditions. Based on it, the results of uniqueness, continuous dependence on initial data and higher-order regularity are also obtained.

MSC:

35Q35 PDEs in connection with fluid mechanics
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
35B65 Smoothness and regularity of solutions to PDEs
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