Global weak solutions and asymptotic behavior to 1D compressible Navier–Stokes equations with density-dependent viscosity and vacuum

On the Existence of Globally Defined Weak Solutions to the Navier—Stokes Equations

Eduard Feireisl, Antonín Novotný, Hana Petzeltová · Journal of Mathematical Fluid Mechanics · 2001 · 861 citations

Natural Sciences, Mathematics, Physics +14

Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas

A. V. Kazhikhov, V. V. Shelukhin · Journal of Applied Mathematics and Mechanics · 1977 · 554 citations

Natural Sciences, Mathematics, Differential Equations +15

On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems

Didier Bresch, Benoı̂t Desjardins, Chi-Kun Lin · Communications in Partial Differential Equations · 2003 · 509 citations

Engineering, Mechanical Engineering, Physics +16

Existence of Global Weak Solutions for a 2D Viscous Shallow Water Equations and Convergence to the Quasi-Geostrophic Model

Didier Bresch, Benoı̂t Desjardins · Communications in Mathematical Physics · 2003 · 460 citations

Natural Sciences, Earth Sciences, Oceanography +16

Partial regularity of the dynamic system modeling the flow of liquid crystals

Fang-Hua Lin, Chun Liu · Discrete and Continuous Dynamical Systems · 1996 · 328 citations · Full text

Natural Sciences, Mathematics, Physics +13