Establishes local well-posedness, uniqueness, stability, and blow-up criterion for SQG equations with a prescribed moving rigid region using coordinate change to a fixed domain and fixed-point arguments.
Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain.Adv
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Local well-posedness for a moving rigid region in Surface Quasi-Geostrophic equations
Establishes local well-posedness, uniqueness, stability, and blow-up criterion for SQG equations with a prescribed moving rigid region using coordinate change to a fixed domain and fixed-point arguments.