15 citations · 29 across the 16 of their papers we have counts for
18 papers
Global solutions of the Landau--Lifshitz--Baryakhtar equation
Agus L. Soenjaya, Thanh Tran
The Landau--Lifshitz--Baryakhtar (LLBar) equation is a generalisation of the Landau--Lifshitz--Gilbert and the Landau--Lifshitz--Bloch equations which takes into account contributi…
Uniqueness of the stochastic Keller-Segel model in one dimension
Erika Hausenblas, Debopriya Mukherjee, Thanh Tran
In a recent paper (J. Differential Equations, 310: 506-554, 2022), the authors proved the existence of martingale solutions to a stochastic version of the classical Patlak-Keller-S…
A parabolic equation on domains with random boundaries
Duong Thanh Pham, Thanh Tran
A heat equation with uncertain domains is thoroughly investigated. Statistical moments of the solution is approximated by the counterparts of the shape derivative. A rigorous proof…
The one-dimensional stochastic Keller--Segel model with time-homogeneous spatial Wiener processes
Erika Hausenblas, Debopriya Mukherjee, Thanh Tran
Chemotaxis is a fundamental mechanism of cells and organisms, which is responsible for attracting microbes to food, embryonic cells into developing tissues, or immune cells to infe…
A Shape calculus approach for time harmonic solid-fluid interaction problem in stochastic domains
Debopriya Mukherjee, Thanh Tran
The present paper deals with the interior solid-fluid interaction problem in harmonic regime with randomly perturbed boundaries. Analysis of the shape derivative and shape Hessian…
Remarks on Sobolev norms of fractional orders
Thanh Tran
When a function belonging to a fractional-order Sobolev space is supported in a proper subset of the Lipschitz domain on which the Sobolev space is defined, how is its Sobolev norm…