Global large solutions for a coupled compressible Navier–Stokes/Allen–Cahn system with initial vacuum-Reference-Cited by-同舟云学术

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Global large solutions for a coupled compressible Navier–Stokes/Allen–Cahn system with initial vacuum

Published:2017-10 Issue: Volume:37 Page:350-373
ISSN:1468-1218
Container-title:Nonlinear Analysis: Real World Applications
language:en
Short-container-title:Nonlinear Analysis: Real World Applications

Author:

Chen Mingtao,Guo Xinwei

Funder

Independent Innovation Foundation of Shandong University

National Science Foundation of Shandong province of China

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,General Economics, Econometrics and Finance,General Engineering,General Medicine,Analysis

Reference23 articles.

1. Global solutions for a coupled compressible Navier-Stokes/Allen-Cahn system in 1D;Ding;J. Math. Fluid Mech.,2013

2. A generalization of the Navier-Stokes equations to two-phase flows;Blesgen;J. Phys. D Appl. Phys.,1999

3. A theoretical and numerical model for the study of incompressible mixture flows;Boyer;Comput. & Fluids,2002

4. On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities;Abels;Arch. Ration. Mech. Anal.,2009

5. Trajectory attractors for binary fluid mixtures in 3D;Gal;Chin. Ann. Math. Ser. B,2010

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1. Wave propagation for the isentropic compressible Navier–Stokes/Allen–Cahn system;Mathematical Methods in the Applied Sciences;2024-09

2. Global well-posedness and L 2 decay estimate of smooth solutions for the 3-D incompressible Navier–Stokes–Allen–Cahn system;Asymptotic Analysis;2024-08-07

3. Sharp Interface Limit for the One-dimensional Compressible Navier-Stokes/Allen-Cahn System with Composite Waves;Acta Mathematicae Applicatae Sinica, English Series;2024-06-01

4. Global Spherically Symmetric Solutions for a Coupled Compressible Navier–Stokes/Allen–Cahn System;Acta Mathematica Sinica, English Series;2024-04-15

5. Stability of the rarefaction wave in the singular limit of a sharp interface problem for the compressible Navier-Stokes/Allen-Cahn system;Acta Mathematica Scientia;2024-03-22

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