3 papers
math.AP2026
Remarks on Lifespan and Continuation Criteria of Two Dimensional Incompressible Fluid Models
Anping Pan
In this paper, we study the lifespan and continuation criteria of several two-dimensional incompressible fluid models. Motivated by a novel energy-vorticity formulation, combining…
math.AP2026
A Lagrangian Approach to the Inhomogeneous Incompressible Euler Equation
Anping Pan
In this paper, we study the inhomogeneous incompressible Euler equation (IIE in short) from a Lagrangian perspective. We establish a geodesic description of this equation and discu…
math.AP2025
Variational Principle and Stochastic Lagrangian Formulation of Viscous Hydrodynamic Equations
Anna Mazzucato, Anping Pan
In this manuscript, we extend Constantin-Iyer's Lagrangian formulation of Navier-Stokes Equation to a wider class of hydrodynamic models. Moreover, we prove that such Lagrangian fo…