Zobrazeno 1 - 10
of 140
pro vyhledávání: '"ERVEDOZA, SYLVAIN"'
Publikováno v:
Journal de l'{\'E}cole polytechnique - Math{\'e}matiques, {\'E}cole polytechnique, 2022, Tome 9, pp.1397--1429
This article is dedicated to insensitization issues of a quadratic functional involving the solution of the linear heat equation with respect to domains variations. This work can be seen as a continuation of [P. Lissy, Y. Privat, and Y. Simpor\'e. In
Externí odkaz:
http://arxiv.org/abs/2012.14327
In this work, we push further the analysis of the problem of switching controls proposed in [E. Zuazua, Switching control, J. Eur. Math. Soc. (JEMS), 13(1): 85--117, 2011]. The problem consists in the following one: assuming that one can control a sy
Externí odkaz:
http://arxiv.org/abs/2008.01821
Autor:
Ervedoza, Sylvain
Publikováno v:
North-Western European Journal of Mathematics, Laboratoires de Math{\'e}matiques du Nord-Pas-de-Calais, 2020
The goal of this article is to discuss controllability properties for an abstract linear system of the form $y' = Ay + Bu$ under some additional linear projection constraints on the control $u$ or / and on the controlled trajectory $y$. In particular
Externí odkaz:
http://arxiv.org/abs/1909.01649
Publikováno v:
Ann. Inst. H. Poincar\'e Anal. Non Lin\'eaire 37 (2020), no. 1, 13-50
We consider a general conservation law on the circle, in the presence of a sublinear damping. If the damping acts on the whole circle, then the solution becomes identically zero in finite time, following the same mechanism as the corresponding ordina
Externí odkaz:
http://arxiv.org/abs/1803.08767
Publikováno v:
In Journal of Functional Analysis 15 November 2022 283(10)
This article develops the numerical and theoretical study of a reconstruction algorithm of a potential in a wave equation from boundary measurements, using a cost functional built on weighted energy terms coming from a Carleman estimate. More precise
Externí odkaz:
http://arxiv.org/abs/1610.07400
Autor:
Dardé, Jérémi, Ervedoza, Sylvain
The goal of this article is to provide a description of the reachable set of the one-dimensional heat equation, set on the spatial domain x $\in$ (--L, L) with Dirichlet boundary controls acting at both boundaries. Namely, in that case, we shall prov
Externí odkaz:
http://arxiv.org/abs/1609.02692
The goal of this article is to present a local exact controllability result for the 2 and 3-dimensional compressible Navier-Stokes equations on a constant target trajectory when the controls act on the whole boundary. Our study is then based on the o
Externí odkaz:
http://arxiv.org/abs/1512.06516
In this article, we investigate the BV stability of $2\times 2$ hyperbolic systems of conservation laws with strictly positive velocities under dissipative boundary conditions. More precisely, we derive sufficient conditions guaranteeing the exponent
Externí odkaz:
http://arxiv.org/abs/1512.05151