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Arnab Roy
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Cited by
Year
Maximal-in-time existence and uniqueness of strong solution of a 3d fluid-structure interaction model
D Maity, JP Raymond, A Roy
SIAM Journal on Mathematical Analysis, 2020
31*2020
Existence of strong solutions for a system of interaction between a compressible viscous fluid and a wave equation
D Maity, A Roy, T Takahashi
Nonlinearity 34 (4), 2659, 2021
212021
Stabilization of a rigid body moving in a compressible viscous fluid
A Roy, T Takahashi
Journal of Evolution Equations 21 (1), 167-200, 2021
202021
Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange
V Mácha, B Muha, Š Nečasová, A Roy, S Trifunović
Communications in Partial Differential Equations 47 (8), 1591-1635, 2022
192022
Boundary feedback stabilization of the Boussinesq system with mixed boundary conditions
M Ramaswamy, JP Raymond, A Roy
Journal of Differential Equations 266 (7), 4268-4304, 2019
172019
Motion of a rigid body in a compressible Fluid with Navier-slip boundary condition
S Necasova, M Ramaswamy, A Roy, A Schlomerkemper
Journal of Differential Equations, 2021
142021
Local null controllability of a rigid body moving into a Boussinesq flow
A Roy, T Takahashi
Mathematical Control and Related Fields 9 (4), 793-836, 2019
112019
Remark on the global null controllability for a viscous Burgers-particle system with particle supported control
M Ramaswamy, A Roy, T Takahashi
Applied Mathematics Letters 107, 106483, 2020
102020
On the motion of a nearly incompressible viscous fluid containing a small rigid body
E Feireisl, A Roy, A Zarnescu
Journal of Nonlinear Science 33 (5), 94, 2023
82023
Existence and uniqueness of maximal strong solution of a 1D blood flow in a network of vessels
D Maity, JP Raymond, A Roy
Nonlinear Analysis: Real World Applications 63, 103405, 2022
82022
On the motion of a small rigid body in a viscous compressible fluid
E Feireisl, A Roy, A Zarnescu
Communications in Partial Differential Equations 48 (5), 794-818, 2023
72023
On the motion of a large number of small rigid bodies in a viscous incompressible fluid
E Feireisl, A Roy, A Zarnescu
Journal de Mathématiques Pures et Appliquées 175, 216-236, 2023
6*2023
Collision/No-collision results of a solid body with its container in a 3D compressible viscous fluid
BJ Jin, Š Nečasová, F Oschmann, A Roy
arXiv preprint arXiv:2210.04698, 2022
32022
Approximate controllability and stabilizability of a linearized system for the interaction between a viscoelastic fluid and a rigid body
D Mitra, A Roy, T Takahashi
Mathematics of Control, Signals, and Systems 33 (4), 637-667, 2021
32021
Compressible Navier-Stokes system with the hard sphere pressure law in an exterior domain
Š Nečasová, A Novotný, A Roy
Zeitschrift für angewandte Mathematik und Physik, 2022
22022
Self-propelled motion of a rigid body inside a density dependent incompressible fluid
Š Nečasová, M Ramaswamy, A Roy, A Schlömerkemper
Mathematical Modelling of Natural Phenomena 16, 9, 2021
22021
Global existence of Weak Solutions for a model of nematic liquid crystal-colloidal interactions
Z Geng, A Roy, A Zarnescu
SIAM Journal on Mathematical Analysis 56 (4), 4324 - 4355, 2024
12024
Measure-Valued Solutions and Weak–Strong Uniqueness for the Incompressible Inviscid Fluid–Rigid Body Interaction
M Caggio, O Kreml, Š Nečasová, A Roy, T Tang
Journal of Mathematical Fluid Mechanics 23 (3), 50, 2021
12021
Compressible fluids and elastic plates in 2D: A conditional no-contact theorem
D Breit, A Roy
arXiv preprint arXiv:2411.01994, 2024
2024
On the collective effect of a large system of heavy particles immersed in a Newtonian fluid
M Bravin, E Feireisl, A Roy, A Zarnescu
arXiv preprint arXiv:2407.08595, 2024
2024
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