Publications associées à Carathéodory's existence theorem

Stochastic partial differential equations driven by Lévy white noises : generalized random processes, random field solutions and regularity

We study various aspects of stochastic partial differential equations driven by Lévy white noise. This driving noise, which is a generalization of Gaussian white noise, can be viewed either as a generalized random process or as an independently scattered r ...

EPFL2017

Existence and Non-uniqueness of Global Weak Solutions to Inviscid Primitive and Boussinesq Equations

Elisabetta Chiodaroli

We consider the initial value problem for the inviscid Primitive and Boussinesq equations in three spatial dimensions. We recast both systems as an abstract Eulertype system and apply the methods of convex integration of De Lellis and Székelyhidi to show t ...

2017

Existence Of Solutions For Jacobian And Hessian Equations Under Smallness Assumptions

Bernard Dacorogna, Sébastien Basterrechea

We discuss three types of problems. The first one involves Jacobian equations and the two others involve Hessian equations. We proceed by fixed point, obtaining the results under a smallness assumption. ...

Taylor & Francis Inc2014

On the Asymptotic Validity of the Decoupling Assumption for Analyzing 802.11 MAC Protocol

Jean-Yves Le Boudec

Performance evaluation of the 802.11 MAC protocol is classically based on the decoupling assumption, which hypothesizes that the backoff processes at different nodes are independent. This decoupling assumption results from mean field convergence and is gen ...

Institute of Electrical and Electronics Engineers2012

On the Validity of the Fixed Point Equation and Decoupling Assumption for Analyzing the 802.11 MAC Protocol

Jean-Yves Le Boudec

Performance evaluation of the 802.11 MAC protocol is classically based on the decoupling assumption, which hypothesizes that the backoff processes at different nodes are independent. A necessary condition for the validity of this approach is the existence ...

2010

On the validity of the fixed point equation and decoupling assumption for analyzing the 802.11 MAC protocol

Jean-Yves Le Boudec

Performance evaluation of the 802.11 MAC protocol is classically based on the decoupling assumption, which hypothesizes that the backoff processes at different nodes are independent. A necessary condition for the validity of this approach is the existence ...

2010