On global classical solutions to 1D compressible Navier‐Stokes equations with density‐dependent viscosity and vacuum

DOI10.1002/mma.6255zbMath1446.35104arXiv1808.03042OpenAlexW3005239534MaRDI QIDQ5116866

Publication date: 19 August 2020

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

Full work available at URL: https://arxiv.org/abs/1808.03042

zbMATH Keywords

vacuum compressible Navier-Stokes equations global classical solutions large-time behavior density-dependent viscosity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Blow-up in context of PDEs (35B44) Classical solutions to PDEs (35A09) Compressible Navier-Stokes equations (76N06)

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On global classical solutions to one-dimensional compressible Navier-Stokes/Allen-Cahn system with density-dependent viscosity and vacuum ⋮ Global well-posedness and large-time behavior of 1D compressible Navier-Stokes equations with density-depending viscosity and vacuum in unbounded domains ⋮ Global strong solutions for viscous radiative gas with degenerate temperature dependent heat conductivity in one-dimensional unbounded domains ⋮ Analytical solutions to the 1D compressible isothermal Navier–Stokes equations with density-dependent viscosity

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