3 papers
math.AP2019
Blow-up solutions to 3D Euler are hydrodynamically unstable
Alexis Vasseur, Misha Vishik
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 wit…
math.AP2018
Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part II
Misha Vishik
In Part II of the paper, we prove linear instability of a certain class of radially symmetric flows of an ideal incompressible fluid in dimension two used in Part I
math.AP2018
Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part I
Misha Vishik
In Part I of the paper, we prove non-uniqueness of the solution to the Cauchy problem of the Euler equations of an ideal incompressible fluid in dimension two with vorticity in som…