Global Well-Posedness and Large Time Asymptotic Behavior of Classical Solutions to the Compressible Navier–Stokes Equations with Vacuum

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

The initial value problem for the equations of motion of viscous and heat-conductive gases

Akitaka Matsumura, Takaaki Nishida · Kyoto journal of mathematics · 1980 · 1.1K citations · Full text

Natural Sciences, Mathematics, Physics +14

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

Global Solutions of the Navier-Stokes Equations for Multidimensional Compressible Flow with Discontinuous Initial Data

D. Hoff · Journal of Differential Equations · 1995 · 562 citations

Engineering, Aerospace Engineering, Mechanical Engineering +10

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