Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Marbach, Frédéric"'
Publikováno v:
Comptes Rendus. Mathématique, Vol 361, Iss G1, Pp 97-189 (2023)
Explicit formulas expressing the solution to non-autonomous differential equations are of great importance in many application domains such as control theory or numerical operator splitting. In particular, intrinsic formulas allowing to decouple time
Externí odkaz:
https://doaj.org/article/79d0059fab714472a848685641667f8d
Our goal is to highlight some of the deep links between numerical splitting methods and control theory. We consider evolution equations of the form $\dot{x} = f_0(x) + f_1(x)$, where $f_0$ encodes a non-reversible dynamic, so that one is interested i
Externí odkaz:
http://arxiv.org/abs/2407.02127
Autor:
Marbach, Frédéric
Gagliardo-Nirenberg interpolation inequalities relate Lebesgue norms of iterated derivatives of a function. We present a generalization of these inequalities in which the low-order term of the right-hand side is replaced by a Lebesgue norm of a point
Externí odkaz:
http://arxiv.org/abs/2306.06668
Autor:
Beauchard, Karine, Marbach, Frédéric
We present a unified approach for determining and proving obstructions to small-time local controllability of scalar-input control systems. Our approach views obstructions to controllability as resulting from interpolation inequalities between the fu
Externí odkaz:
http://arxiv.org/abs/2205.14114
The purpose of this paper is to investigate the well-posedness of several linear and nonlinear equations with a parabolic forward-backward structure, and to highlight the similarities and differences between them. The epitomal linear example will be
Externí odkaz:
http://arxiv.org/abs/2203.11067
Publikováno v:
Journal of Algebra, 612:281-378, 2022
We derive a priori bounds on the size of the structure constants of the free Lie algebra over a set of indeterminates, relative to its Hall bases. We investigate their asymptotic growth, especially as a function of the length of the involved Lie brac
Externí odkaz:
http://arxiv.org/abs/2111.14398
Publikováno v:
Comptes Rendus. Mathematique, Tome 361 (2023), pp. 97-189
Explicit formulas expressing the solution to non-autonomous differential equations are of great importance in many application domains such as control theory or numerical operator splitting. In particular, intrinsic formulas allowing to decouple time
Externí odkaz:
http://arxiv.org/abs/2012.15653
Publikováno v:
Journ\'ees EDP 2018
This note echoes the talk given by the second author during the Journ\'ees EDP 2018 in Obernai. Its aim is to provide an overview and a sketch of proof of the result obtained by the authors, concerning the controllability of the Navier-Stokes equatio
Externí odkaz:
http://arxiv.org/abs/1901.01525
Autor:
Marbach, Frédéric
Cette thèse est consacrée à l'étude du contrôle de quelques équations aux dérivées partielles non linéaires issues de la mécanique des fluides. On s'intéresse notamment à l'équation de Burgers et à l'équation de Navier-Stokes. L'object
Externí odkaz:
http://www.theses.fr/2016PA066442/document
Publikováno v:
In Journal of Algebra 15 December 2022 612:281-378