Ashish Bawalia

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math.AP2026

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 $M = {v \in L^{2} : ∥ v ∥_{L^{2}} = 1}$ over bounded smooth domains. It is known that the solution corre…

math.AP2025

Well-posedness and the Åojasiewicz-Simon inequality in the asymptotic analysis of a nonlinear heat equation with constraints of finite codimension

Ashish Bawalia, ZdzisÅaw BrzeÅºniak, Manil T. Mohan +1

We establish the global well-posedness of the $D (A) -$ valued strong solution to a nonlinear heat equation with constraints on a \textit{PoincarÃ© domain} $\bO\subset \R^d$ whose bou…

math.AP2025

Global well-posedness and Asymptotic analysis of a nonlinear heat equation with constraints of finite codimension

Ashish Bawalia, ZdzisÅaw BrzeÅºniak, Manil T. Mohan

We prove the global existence and the uniqueness of the $L^{p} \cap H_{0}^{1} -$ valued ( $2 \leq p < \infty$ ) strong solutions of a nonlinear heat equation with constraints over bounded doma…

Rate of convergence of a nonlinear heat equation with a constraint of codimension one

Well-posedness and the Åojasiewicz-Simon inequality in the asymptotic analysis of a nonlinear heat equation with constraints of finite codimension

Global well-posedness and Asymptotic analysis of a nonlinear heat equation with constraints of finite codimension

Well-posedness and the Åojasiewicz-Simon inequality in the asymptotic analysis of a nonlinear heat equation with constraints of finite codimension