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math.AP2024
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…
math.AP2024
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 v…
math.AP2024
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…