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of 58
pro vyhledávání: '"Phung, Kim Dang"'
The trend to equilibrium for reaction-diffusion systems coming out of chemistry is investigated, in the case when reaction processes might happen only on some open subsets of the domain. A special case has been studied recently in [Desvillettes, L.,
Externí odkaz:
http://arxiv.org/abs/2405.12578
In this paper we establish a Lebeau-Robbiano spectral inequality for a degenerate one dimensional elliptic operator. Carleman techniques and moment method are combined. Application to null controllability on a measurable set in time for the degenerat
Externí odkaz:
http://arxiv.org/abs/2309.15491
Autor:
Desvillettes, Laurent, Phung, Kim Dang
We consider a system of two reaction-diffusion equations coming out of reversible chemistry. When the reaction happens on the totality of the domain, it is known that exponential convergence to equilibrium holds. We show in this paper that this expon
Externí odkaz:
http://arxiv.org/abs/2108.13215
Autor:
Buffe, Rémi, Phung, Kim Dang
We prove an inequality of H\"older type traducing the unique continuation property at one time for the heat equation with a potential and Neumann boundary condition. The main feature of the proof is to overcome the propagation of smallness by a globa
Externí odkaz:
http://arxiv.org/abs/2105.12977
Autor:
BUFFE, RÉMI1 remi.buffe@univ-lorraine.fr, PHUNG, KIM DANG2 kimdangphung@yahoo.fr, SLIMANI, AMINE3 amine.slimani@etu.mines-nancy.univ-lorraine.fr
Publikováno v:
SIAM Journal on Control & Optimization. 2024, Vol. 62 Issue 5, p2506-2528. 23p.
Autor:
Buffe, Rémi, Phung, Kim Dang
In this paper we establish a Lebeau-Robbiano spectral inequality for a degenerated one dimensional elliptic operator and show how it can be used to impulse control and finite time stabilization for a degenerated parabolic equation. R{\'e}sum{\'e} .-D
Externí odkaz:
http://arxiv.org/abs/1803.07296
Autor:
Phung, Kim Dang
In this paper we investigate on a new strategy combining the logarithmic convexity (or frequency function) and the Carleman commutator to obtain an observation estimate at one time for the heat equation in a bounded domain. We also consider the heat
Externí odkaz:
http://arxiv.org/abs/1802.05949
Autor:
Desvillettes, Laurent, Phung, Kim Dang
Publikováno v:
In Journal of Differential Equations 25 November 2022 338:227-255
The main aim of this paper is to provide a new feedback law for the heat equations in a bounded domain $\Omega $ with Dirichlet boundary condition. Two constraints will be compulsory: First, The controls are active in a subdomain of $\Omega $ and at
Externí odkaz:
http://arxiv.org/abs/1611.10075
Autor:
Bardos, Claude, Phung, Kim Dang
We study the unique continuation property for the neutron transport equation and for a simplified model of the Fokker-Planck equation in a bounded domain with absorbing boundary condition. An observation estimate is derived. It depends on the smallne
Externí odkaz:
http://arxiv.org/abs/1605.01954