Global existence and optimal time decay rates of 3D non-isentropic compressible Navier-Stokes-Allen-Cahn system

DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS

Daniel Anderson, G. B. McFadden, A. A. Wheeler · Annual Review of Fluid Mechanics · 1998 · 2.1K citations · Full text

Engineering, Mechanical Engineering, Computational Fluid Dynamics +16

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

A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method

Chun Liu, Jie Shen · Physica D Nonlinear Phenomena · 2003 · 673 citations

Natural Sciences, Mathematics, Computational Fluid Dynamics +9

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

Akitaka Matsumura, Takaaki Nishida · Proceedings of the Japan Academy Series A Mathematical Sciences · 1979 · 487 citations · Full text

Natural Sciences, Mathematics, Physics +15

Decay of Dissipative Equations and Negative Sobolev Spaces

Yan Guo, Yanjin Wang · Communications in Partial Differential Equations · 2012 · 340 citations

Natural Sciences, Mathematics, Physics +16