1 citations · 1 across the 2 of their papers we have counts for
4 papers
Exactly self-similar blow-up of the generalized De Gregorio equation
Fan Zheng
We study exactly self-similar blow-up profiles fot the generalized De Gregorio model for the three-dimensional Euler equation: We show that for…
The lifespan of classical solutions for the inviscid Surface Quasi-geostrophic equation
Ángel Castro, Diego Córdoba, Fan Zheng
We consider classical solutions of the inviscid Surface Quasi-geostrophic equation that are a small perturbation from a radial stationary solution . We use a modified en…
Long-term regularity of 3D gravity water waves
Fan Zheng
We study a fundamental model in fluid mechanics--the 3D gravity water wave equation, in which an incompressible fluid occupying half the 3D space flows under its own gravity. In th…
Long-term regularity of the periodic Euler--Poisson system for electrons in 2D
Fan Zheng
We study a basic plasma physics model--the one-fluid Euler--Poisson system on the square torus, in which a compressible electron fluid flows under its own electrostatic field. In t…