24 citations · 58 across the 5 of their papers we have counts for
5 papers
Control of the Stefan problem in a periodic box
Borjan Geshkovski, Debayan Maity
In this paper we consider the one-phase Stefan problem with surface tension, set in a two-dimensional strip-like geometry, with periodic boundary conditions respect to the horizont…
Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier-Stokes-Fourier fluid and a damped plate equation
Debayan Maity, Takéo Takahashi
The article is devoted to the mathematical analysis of a fluid-structure interaction system where the fluid is compressible and heat conducting and where the structure is deformabl…
- Maximal Regularity for some Operators Associated with Linearized Incompressible Fluid-Rigid Body Problems
Debayan Maity, Marius Tucsnak
We study an unbounded operator arising naturally after linearizing the system modelling the motion of a rigid body in a viscous incompressible fluid. We show that this operator is…
Mathematical Analysis of the Motion of a Rigid Body in a Compressible Navier-Stokes-Fourier Fluid
Bernhard H. Haak, Debayan Maity, Takéo Takahashi +1
We study an initial and boundary value problem modelling the motion of a rigid body in a heat conducting gas. The solid is supposed to be a perfect thermal insulator. The gas is de…
Some Controllability Results for Linearized Compressible Navier-Stokes System
Debayan Maity
In this article, we study the null controllability of linearized compressible Navier-Stokes system in one and two dimension. We first study the one-dimensional compressible Navier-…