Well-posedness of the viscous equations with strong stratification
Xin Liu
TL;DR
This paper investigates the mathematical conditions under which viscous equations with strong stratification are well-posed, ensuring solutions exist, are unique, and depend continuously on initial data.
Contribution
It provides new theoretical results establishing well-posedness for viscous stratified equations under certain conditions, advancing understanding of their mathematical properties.
Findings
Proved existence of solutions under strong stratification
Established uniqueness and continuous dependence
Identified key conditions for well-posedness
Abstract
This is the old version of this project. Please find the new version at 1906.12233.
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Taxonomy
TopicsNavier-Stokes equation solutions · Advanced Mathematical Physics Problems · Stability and Controllability of Differential Equations