Archive for Rational Mechanics and Analysis · 2009 · 68 citations · 11 references
Natural SciencesPhysicsFluid DynamicsFluid MechanicsBoundary ConditionsNavier-stokes EquationsPartial Differential EquationsRegular SolutionsWeak FormulationRegularity TheoryStokes EquationsStrong SolutionsWeak Boundary ConditionsWeak Solutions
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On the Navier-Stokes initial value problem. I
Hiroshi Fujita, Tosio Kato · Archive for Rational Mechanics and Analysis · 1964 · 1.3K citations
Well-posedness for the Navier–Stokes Equations
Herbert Koch, Daniel Tataru · Advances in Mathematics · 2001 · 883 citations
Energy conservation and Onsager's conjecture for the Euler equations
Alexey Cheskidov, Peter Constantin, Susan Friedlander et al. · Nonlinearity · 2008 · 318 citations