Analytical Solutions to the Navier-Stokes Equations

Abstract

With the previous results for the analytical blowup solutions of the N-dimensional Euler-Poisson equations, we extend the similar structure to construct an analytical family of solutions for the isothermal Navier-Stokes equations and pressureless Navier-Stokes equations with density-dependent viscosity.

13 pages, Typos are corrected

References in corpus (1)

• Analytical Blowup Solutions to the 2-dimensional Isothermal Euler-Poisson Equations of Gaseous Stars

Cited by in corpus (11)

• Analytical Solutions to the Navier-Stokes Equations with Density-dependent Viscosity and with Pressure
• Exact, Rotational, Infinite Energy, Blowup Solutions to the 3-Dimensional Euler Equations
• Some Exact Blowup Solutions to the Pressureless Euler Equations in R^N
• Analytical Blowup Solutions to the Pressureless Navier-Stokes-Poisson Equations with Density-dependent Viscosity in R^N
• Self-Similar Blowup Solutions to the 2-Component Camassa-Holm Equations
• Analytical Solutions to the Navier-Stokes-Poisson Equations with Density-dependent Viscosity and with Pressure
• Observables and initial conditions for rotating and expanding fireballs with spheroidal symmetry
• Perturbational Blowup Solutions to the 2-Component Camassa-Holm Equations
• Self-Similar Blowup Solutions to the 2-Component Degasperis-Procesi Shallow Water System
• Drifting Solutions with Elliptic Symmetry for the Compressible Navier-Stokes Equations with Density-dependent Viscosity
• Analytical Blowup Solutions to the 3-dimensional Pressureless Navier-Stokes-Poisson Equations with Density-dependent Viscosity