Liouville theorems in unbounded domains for the time-dependent Stokes system
Hao Jia, Gregory Seregin, Vladim\'ir \v{S}ver\'ak
TL;DR
This paper characterizes bounded ancient solutions to the time-dependent Stokes system with zero boundary conditions across various unbounded domains, including the half space, providing insights into their structure and properties.
Contribution
It offers a new characterization of bounded ancient solutions for the time-dependent Stokes system in unbounded domains, extending previous understanding.
Findings
Bounded ancient solutions are fully characterized in the half space.
The results apply to various unbounded domains with zero boundary conditions.
Provides foundational insights for future research in fluid dynamics.
Abstract
In this paper, We characterize bounded ancient solutions to the time-dependent Stokes system with zero boundary value in various domains, including the half space.
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