Asymptotic stability for one-dimensional motion of non-Newtonian compressible fluids

DOI10.1007/s10255-014-0273-3zbMath1297.35171OpenAlexW2088433283MaRDI QIDQ403450

Xiao-ding Shi, Zhen Zhang, Teng Wang

Publication date: 29 August 2014

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

Full work available at URL: https://doi.org/10.1007/s10255-014-0273-3

zbMATH Keywords

asymptotic stabilityglobal solutionnon-Newtonian fluid

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Traveling wave solutions (35C07)

Related Items (7)

Stationary solutions to a compressible non-Newtonian fluid with general boundary conditions ⋮ On the free boundary problem for the Oldroyd-B model in the maximal \(L_p-L_q\) regularity class ⋮ Stability of boundary layer to an outflow problem for a compressible non-Newtonian fluid in the half space ⋮ Large-time behavior of solution to an inflow problem on the half space for a class of compressible non-Newtonian fluids ⋮ Global weak solutions to a Vlasov‐Fokker‐Planck/compressible non‐Newtonian fluid system of equations ⋮ On the motion of shear-thinning heat-conducting incompressible fluid-rigid system ⋮ Zero dissipation limit to rarefaction wave with vacuum for a one-dimensional compressible non-Newtonian fluid

Cites Work

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• Existence of weak solutions to the equations of non-stationary motion of non-Newtonian fluids with shear rate dependent viscosity
• Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
• Global asymptotics toward the rarefaction wave for solutions of viscous 𝑝-system with boundary effect

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