The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations

Harmonic Mappings of Riemannian Manifolds

James Eells, J. H. Sampson · American Journal of Mathematics · 1964 · 2.2K citations

Natural Sciences, Aerospace Engineering, Descriptive Geometry +8

Commutator estimates and the euler and navier‐stokes equations

Tosio Kato, Gustavo Ponce · Communications on Pure and Applied Mathematics · 1988 · 1.9K citations

Natural Sciences, Mathematics, Physics +14

Remarks on the breakdown of smooth solutions for the 3-D Euler equations

J. Thomas Beale, T. Kato, Andrew J. Majda · Communications in Mathematical Physics · 1984 · 1.6K citations

Natural Sciences, Mathematics, Physics +13

On the interior regularity of weak solutions of the Navier-Stokes equations

James Serrin · Archive for Rational Mechanics and Analysis · 1962 · 1K citations

Natural Sciences, Mathematics, Computational Fluid Dynamics +14

Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system

Yoshikazu Giga · Journal of Differential Equations · 1986 · 896 citations

Natural Sciences, Mathematics, Physics +15