Blow-up of smooth solutions to the compressible fluid models of Korteweg type

DOI10.1007/s10114-012-9042-5zbMath1393.76097OpenAlexW2012492444MaRDI QIDQ1758021

Zhong Tan, Ying-Hui Zhang

Publication date: 7 November 2012

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-9042-5

zbMATH Keywords

isothermal modelcompact supportsufficient conditioncapillary compressible fluid

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (5)

On the compressible Navier-Stokes-Korteweg equations ⋮ Blow-up of compressible Navier-Stokes-Korteweg equations ⋮ Nonlinear stability of traveling wave solutions for the compressible fluid models of Korteweg type ⋮ Blow up of classical solutions to the barotropic compressible fluid models of Korteweg type in bounded domains ⋮ Blow-up of smooth solutions to the compressible barotropic Navier-Stokes-Korteweg equations on bounded domains

Cites Work

• On the thermomechanics of interstitial working
• Formation of singularities in three-dimensional compressible fluids
• Sur la solution à support compact de l’equation d’Euler compressible
• Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
• DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
• TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
• Existence of solutions for compressible fluid models of Korteweg type

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