5 papers
Existence and uniqueness results of a stochastic nonlinear heat equation with a constraint of codimension one
Ashish Bawalia, ZdzisÅaw Brzeźniak, Manil T. Mohan
In this work, we investigate the well-posedness of a stochastic heat equation with an arbitrary (but polynomial) nonlinearity in any dimension perturbed by a multiplicati…
Non-uniqueness for the stochastic incompressible Euler equations with a passive tracer
Ashish Bawalia, ZdzisÅaw Brzeźniak, Manil T. Mohan
In this work we investigate the phenomenon of pathwise non-uniqueness for the stochastic incompressible Euler equations with a passive tracer on the whole Euclidean space. The stoc…
Rate of convergence of a nonlinear heat equation with a constraint of codimension one
Ashish Bawalia, Manil T. Mohan
We consider a nonlinear constrained heat flow evolving on the manifold over bounded smooth domains. It is known that the solution corre…
Well-posedness and the Åojasiewicz-Simon inequality in the asymptotic analysis of a nonlinear heat equation with constraints of finite codimension
Ashish Bawalia, ZdzisÅaw Brzeźniak, Manil T. Mohan +1
We establish the global well-posedness of the valued strong solution to a nonlinear heat equation with constraints on a \textit{Poincaré domain} $\bO\subset \R^d$ whose bou…
Global well-posedness and Asymptotic analysis of a nonlinear heat equation with constraints of finite codimension
Ashish Bawalia, ZdzisÅaw Brzeźniak, Manil T. Mohan
We prove the global existence and the uniqueness of the valued () strong solutions of a nonlinear heat equation with constraints over bounded doma…