Version 1
: Received: 9 September 2023 / Approved: 12 September 2023 / Online: 12 September 2023 (08:42:33 CEST)
How to cite:
Omurov, T. A Solution of the Navier-Stokes Problem for an Incompressible Fluid with Cauchy Condintion. Preprints2023, 2023090751. https://doi.org/10.20944/preprints202309.0751.v1
Omurov, T. A Solution of the Navier-Stokes Problem for an Incompressible Fluid with Cauchy Condintion. Preprints 2023, 2023090751. https://doi.org/10.20944/preprints202309.0751.v1
Omurov, T. A Solution of the Navier-Stokes Problem for an Incompressible Fluid with Cauchy Condintion. Preprints2023, 2023090751. https://doi.org/10.20944/preprints202309.0751.v1
APA Style
Omurov, T. (2023). <strong></strong>A Solution of the Navier-Stokes Problem for an Incompressible Fluid with Cauchy Condintion. Preprints. https://doi.org/10.20944/preprints202309.0751.v1
Chicago/Turabian Style
Omurov, T. 2023 "<strong></strong>A Solution of the Navier-Stokes Problem for an Incompressible Fluid with Cauchy Condintion" Preprints. https://doi.org/10.20944/preprints202309.0751.v1
Abstract
The main object of this work is to establish the existence and uniqueness of a solution to the 3D Navier-Stokes (NS) system for an incompressible fluid with viscosity. The nonlinearity of the NS system, as well as the need to estimate velocity and pressure for every value of the viscosity parameter [1] make them challenging to solve. In this regard, in the present work, we study the Navier-Stokes system, which describe the flow of a viscous incompressible fluid and the solution was obtained for velocity and pressure in an analytical form. In addition, the found pressure distribution law, which is described by a Poisson type equation and plays a fundamental role in the theory of Navier-Stokes systems in constructing analytic smooth (conditionally smooth) solutions.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
