3 papers
math.AP2026
Stabilization of solutions to a model of Langmuir-Blodgett films
Marco Morandotti, Piotr Rybka, Glen Wheeler
We show stabilisation of solutions to one-dimensional advective Cahn-Hilliard equation modeling the Langmuir-Blodgett thin films. This problem has the structure of a gradient flow…
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 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…
math.AP2025
Asymptotic behavior of solutions to a space fractional diffusion equation
Barbara ÅupiÅska, Piotr Rybka
We improve the time decay estimates of solutions to the one-dimensional fractional diffusion equation involving the Caputo derivative. The equation is considered on the half-line.…