Isothermal Navier-Stokes Equations and Radon Transform

TL;DR

This paper proves existence results for initial-value boundary problems of 2D compressible isothermal Navier-Stokes equations with no-slip boundary conditions, offering a modeling approach applicable to 3D cases.

Contribution

It introduces a general analytical technique for solving 2D compressible isothermal Navier-Stokes equations that can extend to 3D problems.

Findings

Existence of solutions for 2D initial-value boundary problems.

Methodology applicable to 3D Navier-Stokes equations.

Framework for analyzing viscous compressible fluids.

Abstract

In the paper we prove the existence results for initial-value boundary value problems for compressible isothermal Navier-Stokes equations. We restrict ourselves to 2D case of a problem with no-slip condition for nonstationary motion of viscous compressible isothermal fluid. However, the technique of modeling and analysis presented here is general and can be used for 3D problems.