The regularity of the Stokes operator and the Fujita–Kato approach to the Navier–Stokes initial value problem in Lipschitz domains

By M. Mitrea, Sylvie Monniaux. 2008

69 citations recorded by the source corpus.

Abstract We study the regularity of the Navier–Stokes equations in arbitrary Lipschitz domains.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3fee1aba9841cbf15e43f8c8777b0bdd2d069a78

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In Applied Mathematics

1. Zhongwei Shen
2. Carlos E. Kenig
3. S. Armstrong
4. Jean-Christophe Mourrat
5. Tuomo Kuusi
6. G. Verchota
7. Jinping Zhuge

In Mathematical Physics

1. Zhongwei Shen

Citations in the corpus

• Resolvent Estimates in Lp for the Stokes Operator in Lipschitz Domains (2012, background): “[17] for the case of the smooth domains, and [2] [9] [32] [24] as well as their references for related work in Lipschitz domains).”
• The Poisson problem for the exterior derivative operator with Dirichlet boundary condition in nonsmooth domains (2008, unknown): “[43].”