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Elliptic regularization and Navier-Stokes system. (English) Zbl 0895.35074

Summary: Applications of the method of elliptic regularization to the Navier-Stokes system in a bounded domain of \(\mathbb{R}^3\) with moving boundary are given. We follow the ideas of J. L. Lions and R. Temam.

MSC:

35Q30 Navier-Stokes equations
35A35 Theoretical approximation in context of PDEs
35K55 Nonlinear parabolic equations
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