Global strong solution to a thermodynamic compressible diffuse interface model with temperature‐dependent heat conductivity in 1D

DOI10.1002/mma.7597zbMath1479.35604arXiv2003.12793OpenAlexW3175267014MaRDI QIDQ5015783

Bin Huang, Ya-zhou Chen, Qiao-lin He, Xiao-ding Shi

Publication date: 9 December 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.12793

zbMATH Keywords

global strong solutioncompressible Navier-Stokes equationsAllen-Cahn equationdiffuse interfaceimmiscible two-phase flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Liquid-liquid two component flows (76T06)

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