Weak solutions of 3D compressible Navier-Stokes equations in critical case
Pavel I. Plotnikov
TL;DR
This paper derives new estimates for solutions to 3D compressible Navier-Stokes equations, focusing on critical cases, and proves the cancellation of kinetic energy concentrations, advancing understanding of these complex fluid dynamics equations.
Contribution
It introduces novel estimates for solutions in critical cases and demonstrates the cancellation of kinetic energy concentrations in compressible Navier-Stokes equations.
Findings
New estimates for solutions in critical cases
Proof of kinetic energy concentration cancellation
Application to boundary value problems
Abstract
New estimates of the potentials of solutions to the compressible Navier-Stokes equations are derived. The result obtained are applied to boundary value problems for the compressible Navier-Stokes equations with the critical adiabatic exponents. The cancelation of concentrations of the kinetic energy density is proved
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Taxonomy
TopicsNavier-Stokes equation solutions · Aquatic and Environmental Studies · Computational Fluid Dynamics and Aerodynamics