Global regularity for the 2D Boussinesq equations with partial viscosity terms

A note on limiting cases of sobolev embeddings and convolution inequalities

Stephen Wainger · Communications in Partial Differential Equations · 1980 · 511 citations

Spectral Theory, Dirichlet Form, Sobolev Embeddings +10

Global well-posedness of the viscous Boussinesq equations

Thomas Y. Hou, Congming Li · Discrete and Continuous Dynamical Systems · 2005 · 410 citations

Physics, Hyperbolic Conservation Law, Global Well-posedness +6

Local existence and blow-up criterion for the Boussinesq equations

Dongho Chae, Hee-Seok Nam · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1997 · 194 citations

Monge-ampere Equation, Elliptic Equation, Global Existence +5

Small-scale structures in Boussinesq convection

E Weinan, Chi‐Wang Shu · Physics of Fluids · 1994 · 146 citations

Filtered Pseudospectral Method, Bubble Dynamic, Engineering +13

Local existence and blow-up criterion of Hölder continuous solutions of the Boussinesq equations

Dongho Chae, Sungki Kim, Hee-Seok Nam · Nagoya Mathematical Journal · 1999 · 107 citations · Full text

Monge-ampere Equation, Elliptic Equation, Boussinesq Equations +7