4 papers
Finite-time blowup of the IPM equation from smooth initial data without forcing
Fan Zheng
We prove finite-time gradient blow-up for the unforced incompressible porous media equation on the two-dimensional torus, removing the forcing used in the IPM blow-up constructions…
Finite-time blowup of the Euler equation without forcing
Fan Zheng
These notes present the construction in \cite{euler} of finite-time blowup for the three-dimensional incompressible, unforced Euler equations on : \begin{equation} \pa…
Finite time blow-up for the hypodissipative Navier Stokes equations with a force in
Diego Córdoba, Luis Martínez-Zoroa, Fan Zheng
In this work we establish the formation of singularities of classical solutions with finite energy of the forced fractional Navier Stokes equations where the dissipative term is gi…
Finite time singularities to the 3D incompressible Euler equations for solutions in
Diego Córdoba, Luis Martínez-Zoroa, Fan Zheng
We introduce a novel mechanism that reveals finite time singularities within the 1D De Gregorio model and the 3D incompressible Euler equations. Remarkably, we do not construct our…