Global weak solutions of 3D compressible MHD with discontinuous initial data and vacuum

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

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

Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density

Zhouping Xin · Communications on Pure and Applied Mathematics · 1998 · 498 citations

Natural Sciences, Mathematics, Physics +14