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

DOI10.1063/1.3197860zbMath1223.76013arXiv0902.2740OpenAlexW3106177410WikidataQ59292244 ScholiaQ59292244MaRDI QIDQ3069178

Manwai Yuen, Ling Hei Yeung

Publication date: 24 January 2011

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2740

zbMATH Keywords

Navier-Stokes equationsdifferential equationsviscosity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Solutions to PDEs in closed form (35C05)

Related Items (13)

Analytical solutions to the compressible Euler equations with time-dependent damping and free boundaries ⋮ Analytical solutions to the 3-D compressible Navier-Stokes equations with free boundaries ⋮ An exact solution for the semi-stationary compressible Stokes problem ⋮ Analytical blowup solutions to the compressible Euler equations with time-depending damping ⋮ The elliptical vortices, integrable Ermakov structure, Schrödinger connection, and Lax pair in the compressible Navier–Stokes equation ⋮ Interface behavior and decay rates of compressible Navier-Stokes system with density-dependent viscosity and a vacuum ⋮ Analytical solutions to the cylindrically symmetric compressible Navier-Stokes equations with density-dependent viscosity and vacuum free boundary ⋮ The Cartesian analytical solutions for the N-dimensional compressible Navier–Stokes equations with density-dependent viscosity ⋮ Analytical solutions to the compressible Navier-Stokes equations with density-dependent viscosity coefficients and free boundaries ⋮ Some exact blowup solutions to the pressureless Euler equations in \(\mathbb R^{N}\) ⋮ Analytical solutions to the Navier-Stokes-Poisson equations with density-dependent viscosity and with pressure ⋮ Analytical solutions to the 1D compressible isothermal Navier–Stokes equations with density-dependent viscosity ⋮ Analytical solutions to a class of non-Newtonian fluids with free boundaries

Cites Work

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• Blowup solutions for a class of fluid dynamical equations in \(\mathbb{R}^N\)
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• Analytical blowup solutions to the 2-dimensional isothermal Euler-Poisson equations of gaseous stars
• COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY AND VACUUM
• On the Barotropic Compressible Navier–Stokes Equations
• Analytical solutions to the Navier–Stokes equations
• Equations of fluid dynamics—free surface problems
• Blowing up solutions of the euler-poisson equation for the evolution of gaseous stars

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