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

Zang, Aibin

Pure Appl. Math. 34, No. 1, 1-6 (2018).

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

Keywords:

Euler-Voigt equations; global well-posedness; Galerkin method; continuous dependence