AnLq-approach to Stokes and Navier-Stokes equations in general domains
By Reinhard Farwig, H. Kozono, H. Sohr. 2005
190 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Mechanics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/153408dfeb69392e786a35d720ff23893f74f1bd
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In Applied Mathematics
- Ken Abe
- Yoshikazu Giga
- Kyriakos Stavrakidis
- Matthias Hieber
- Matthias Geissert
- Matthias Hess
- C. Schwarz
- Jürgen Saal
In Computational Mechanics
In Computational Theory and Mathematics
Citations in the corpus
- The L∞-Stokes semigroup in exterior domains (2012, unknown): “In order to approximate solutions in a uniformly regular domain, we appeal to L̃r theory [13,15], although Lr -theory works for more general domains [3,16,17,20].”
- Maximal Lp – Lq-Estimates for the Stokes Equation: a Short Proof of Solonnikov’s Theorem (2010, result): “For recent results on layers, general unbounded domains and other boundary conditions we refer to the work of Amann [Ama00], Shibata and Shimizu ([SS03]), Abels [Abe05], Farwig, Kozono and Sohr [ FKS05 ] and Bothe and Pr¨uss ([BP06]).”
- On the local regularity of suitable weak solutions to the generalized Navier–Stokes equations (2014, unknown): “[5]).”
- Stokes Resolvent Estimates in Spaces of Bounded Functions (2012, methodology): “By the L̃-theory [13, 14], [15] we verify the existence of a solution to (1.”