4 papers
Non-uniqueness of Hölder continuous solutions for stochastic Euler and Hypodissipative Navier-Stokes equations
Kush Kinra, Ujjwal Koley
We construct infinitely many Hölder continuous, global-in-time, and stationary solutions to the stochastic Euler equations and the hypodissipative Navier-Stokes equations, taking…
Non-uniqueness of Hölder continuous solutions for Inhomogeneous Incompressible Euler flows
Vikram Giri, Ujjwal Koley
We consider the inhomogeneous (or density dependent) incompressible Euler equations in a three-dimensional periodic domain. We construct density and velocity such tha…
An Onsager type theorem for the Euler-Boussinesq equations in two spatial dimensions
Ujjwal Koley
In this article, we construct non-trivial weak solutions to the inviscid Euler-Boussinesq system in two spatial dimensions. These solutions exhibit compact temporal suppo…
Dissipative measure-valued solutions and weak-strong uniqueness for the Euler alignment system
Abhishek Chaudhary, Ujjwal Koley, Emil Wiedemann
We introduce the concept of a dissipative measure-valued solution to the Euler alignment system. This approach incorporates a modified total energy balance, utilizing a binary tens…