Global existence and large time asymptotic behavior of strong solutions to the 2-D compressible magnetohydrodynamic 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

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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

Global well‐posedness of classical solutions with large oscillations and vacuum to the three‐dimensional isentropic compressible Navier‐Stokes equations

Xiangdi Huang, Jing Li, Zhouping Xin · Communications on Pure and Applied Mathematics · 2011 · 519 citations

Natural Sciences, Physics, Computational Fluid Dynamics +14