Thermomicropolar Fluids
{\L}ukaszewicz Grzegorz, Siemianowski Jakub
TL;DR
This paper studies simplified two-dimensional thermomicropolar fluid equations, proving existence, uniqueness, and continuous dependence of solutions based on initial data regularity.
Contribution
It introduces a simplified model of thermomicropolar fluids and establishes foundational mathematical properties of its solutions.
Findings
Existence of solutions under certain initial data regularity
Uniqueness of solutions
Continuous dependence on initial data
Abstract
We consider a certain simplification of the two-dimensional thermomicropolar fluids equations. We prove the existence of certain solutions to these equations depending on the regularity of the intial data. We investigate the uniqueness of the solutions and continuous dependence on intial data.
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Taxonomy
TopicsNavier-Stokes equation solutions · Nonlinear Partial Differential Equations · Stability and Controllability of Differential Equations