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Factorization for non-symmetric operators and exponential H-theorem

- M. Gualdani, S. Mischler, C. Mouhot
- Mathematics
- 29 June 2010

We present an abstract method for deriving decay estimates on the resolvents and semigroups of non-symmetric operators in Banach spaces in terms of estimates in another smaller reference Banach… Expand

128 27- PDF

On the spatially homogeneous Boltzmann equation

- S. Mischler, B. Wennberg
- Mathematics
- 1 July 1999

Abstract We consider the question of existence and uniqueness of solutions to the spatially homogeneous Boltzmann equation. The main result is that to any initial data with finite mass and energy,… Expand

149 22- PDF

The dynamics of adaptation: an illuminating example and a Hamilton-Jacobi approach.

- O. Diekmann, Pierre-Emanuel Jabin, S. Mischler, B. Perthame
- Mathematics, Medicine
- Theoretical population biology
- 1 June 2005

Our starting point is a selection-mutation equation describing the adaptive dynamics of a quantitative trait under the influence of an ecological feedback loop. Based on the assumption of small (but… Expand

189 18- PDF

General relative entropy inequality: an illustration on growth models

- P. Michel, S. Mischler, B. Perthame
- Mathematics
- 1 September 2005

Abstract We introduce the notion of General Relative Entropy Inequality for several linear PDEs. This concept extends to equations that are not conservation laws, the notion of relative entropy for… Expand

206 18- PDF

Stability, Convergence to Self-Similarity and Elastic Limit for the Boltzmann Equation for Inelastic Hard Spheres

- S. Mischler, C. Mouhot
- Mathematics
- 16 January 2007

We consider the spatially homogeneous Boltzmann equation for inelastic hard spheres, in the framework of so-called constant normal restitution coefficients$${\alpha \in [0,1]}$$ . In the physical… Expand

60 13- PDF

On Kac's chaos and related problems

- M. Hauray, S. Mischler
- Mathematics
- 21 May 2012

This paper is devoted to establish quantitative and qualitative estimates related to the notion of chaos as firstly formulated by M. Kac \cite{Kac1956} in his study of mean-field limit for systems of… Expand

87 13- PDF

From the Becker–Döring to the Lifshitz–Slyozov–Wagner Equations

- P. Laurençot, S. Mischler
- Mathematics
- 1 March 2002

Connections between two classical models of phase transitions, the Becker–Döring (BD) equations and the Lifshitz–Slyozov–Wagner (LSW) equations, are investigated. Homogeneous coefficients are… Expand

50 12

On The Trace Problem For Solutions Of The Vlasov Equation

- S. Mischler
- Mathematics
- 1999

We study tlie trace problem for weak solutions of the Vlasov equation set in a domain. When the force field has Sobolev regularity, we prove the existence of a trace on the boundaries, which is… Expand

54 12- PDF

From the discrete to the continuous coagulation–fragmentation equations

- P. Laurençot, S. Mischler
- Mathematics
- Proceedings of the Royal Society of Edinburgh…
- 1 October 2002

The connection between the discrete and the continuous coagulation–fragmentation models is investigated. A weak stability principle relying on a priori estimates and weak compactness in L1 is… Expand

94 10- PDF

Global existence for the discrete diffusive coagulation-fragmentation equations in $L^1$

- P. Laurençot, S. Mischler
- Mathematics
- 31 December 2002

Existence of global weak solutions to the discrete coagulation-fragmentation equations with diffusion is proved under general assumptions on the coagulation and fragmentation coefficients. Unlike… Expand

56 10- PDF

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