9 datasets found

In this work we present examples of the effects of noise on the solution of a partial differential equation (PDE) in three different settings. We will first consider...

Fay's identity on Riemann surfaces is a powerful tool in the context of algebro-geometric solutions to integrable equations. This relation generalizes a well-known...

Atherosclerosis is an inflammatory disease which starts when low density lipoproteins (LDL) enter the intima of blood vessel where they are oxidized (ox-LDL). The...

International audience

Industrial simulation software has to manage: (i) the complexity of the underlying physical models,usually expressed in terms of a PDE system completed with algebraic...

This thesis contains three independent parts. The first part presents a proof of existence of weak global solutions to a Vlasov-incompressible-Navier-Stokes system...

This thesis deals with two subjects: the strong well-posedness of stochastic differential equations with Hölder drift and hypoelliptic noise and the simulation of...

National audience

International audience