Analytical solutions to the Navier-Stokes-Poisson equations with density-dependent viscosity and with pressure

DOI10.1090/S0002-9939-2011-11048-7zbMath1233.35054arXiv1005.0729WikidataQ59292205 ScholiaQ59292205MaRDI QIDQ3103270

Manwai Yuen, Ling Hei Yeung

Publication date: 7 December 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.0729

zbMATH Keywords

radial solutionsdensity-dependent viscosityself-similar blow-up solutionsNewtonian self-gravitating fluids

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Galactic and stellar structure (85A15) Blow-up in context of PDEs (35B44) Self-similar solutions to PDEs (35C06)

Related Items (7)

Global solutions to compressible Navier-Stokes equations with spherical symmetry and free boundary ⋮ Analytical blowup solutions to the compressible Euler equations with time-depending damping ⋮ Weakly compressible flow through a cylinder with pressure-dependent viscosity and Navier-slip at the wall ⋮ Local Existence and Uniqueness of Strong Solutions to the Free Boundary Problem of the Full Compressible Navier--Stokes Equations in three dimensions ⋮ Local well-posedness to the vacuum free boundary problem of full compressible Navier-Stokes equations in \(\mathbb{R}^3\) ⋮ Global spherically symmetric classical solution to the Navier-Stokes-Maxwell system with large initial data and vacuum ⋮ Local well-posedness of the vacuum free boundary of 3-D compressible Navier-Stokes equations

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