14 citations · 44 across the 5 of their papers we have counts for
5 papers
Instability for Axisymmetric Blow-up Solutions to Incompressible Euler Equations
Laurent Lafleche, Alexis F. Vasseur, Misha Vishik
It is still not known whether a solution to the incompressible Euler equation, endowed with a smooth initial value, can blow-up in finite time. In [{\em Comm. Math. Phys.}, 378:557…
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…
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
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…
Long time Evolution of Quantum Averages Near Stationary Points
Gennady Berman, Misha Vishik
We construct explicit expressions for quantum averages in coherent states for a Hamiltonian of degree 4 with a hyperbolic stagnation point. These expressions are valid for all time…