Alexis Vasseur, Misha Vishik
Published 2019-08-15Version 1
We study the interaction between the stability, and the propagation of regularity, for solutions to the incompressible 3D Euler equation. It is still unknown whether a solution with smooth initial data can develop a singularity in finite time. This article explains why the prediction of such a blow-up, via direct numerical experiments, is so difficult. It is described how, in such a scenario, the solution becomes unstable as time approaches the blow-up time.
Existence and non-existence of Blow-up solutions for a non-autonomous problem with indefinite and gradient terms
Blow-up solutions for a Blow-up solutions for a Blow-up solutions for a $p$-Laplacian elliptic equation of logistic type with singular nonlinearity
Blow-up solutions for the steady state of the Keller-Segel system on Riemann surfaces
![QR code for arXiv:1908.05766 [math.AP]](http://oss.arxitics.com/images/favicon.svg)