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Publications Influence

On selection dynamics for competitive interactions

In this paper, we are interested in an integro-differential model that describe the evolution of a population structured with respect to a continuous trait. Under some assumption, we are able to find… Expand

69 10- PDF

Line-energy Ginzburg-Landau models: zero-energy states

- P. Jabin, F. Otto, B. Perthame
- Mathematics
- 2002

We consider a class of two-dimensional Ginzburg-Landau problems which are characterized by energy density concentrations on a one-dimensional set. In this paper, we investigate the states of… Expand

52 9- PDF

On the rate of convergence to equilibrium in the Becker–Döring equations

- P. Jabin, B. Niethammer
- Mathematics
- 1 July 2003

Abstract We provide an explicit rate of convergence to equilibrium for solutions of the Becker–Doring equations using the energy/energy-dissipation relation. The main difficulty is the structure of… Expand

44 8- PDF

Particles approximations of Vlasov equations with singular forces : Propagation of chaos

We obtain the mean field limit and the propagation of chaos for a system of particles interacting with a singular interaction force of the type $1/|x|^\alpha$, with $\alpha <1$ in dimension $d \geq… Expand

81 8- PDF

Clustering and asymptotic behavior in opinion formation

Abstract We investigate the long time behavior of models of opinion formation. We consider the case of compactly supported interactions between agents which are also non-symmetric, including for… Expand

46 7- PDF

Regularity in kinetic formulations via averaging lemmas

- P. Jabin, B. Perthame
- Mathematics
- 2002

We present a new class of averaging lemmas directly motivated by the question of regularity for different nonlinear equations or variational problems which admit a kinetic formulation. In particular… Expand

52 7- PDF

Global Existence of Weak Solutions for Compresssible Navier--Stokes Equations: Thermodynamically unstable pressure and anisotropic viscous stress tensor

We prove global existence of appropriate weak solutions for the compressible Navier--Stokes equations for more general stress tensor than those covered by P.-L. Lions and E. Feireisl's theory. More… Expand

80 6- PDF

On selection dynamics for continuous structured populations

- L. Desvillettes, P. Jabin, S. Mischler, G. Raoul
- Mathematics
- 1 September 2008

In this paper, we provide results about the long time behavior of integrodifferential equations appearing in the study of populations structured with respect to a quantitative (continuous) trait,… Expand

107 5- PDF

A review of the mean field limits for Vlasov equations

- P. Jabin
- Physics
- 1 November 2014

We review some classical and more recent results on the mean field limit and propagation of chaos for systems of many particles, leading to Vlasov or macroscopic equations.

65 5- PDF

N-particles Approximation of the Vlasov Equations with Singular Potential

AbstractWe prove the convergence in any time interval of a point-particle approximation of the Vlasov equation by particles initially equally separated for a force in 1/|x|α, with
$$\alpha \leqq 1$$.… Expand

102 5- PDF

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