Unit

Chair of Partial Differential Equations

Laboratory

Related publications (37)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Infinite dimensional geodesic flows and the universal Teichmüller space

François Gay-Balmaz

The subject of this thesis lies in the intersection of differential geometry and functional analysis, a domain usually called global analysis. A central object in this work is the group Ds(M) of all orientation preserving diffeomorphisms of a compact manif ...

EPFL2009

Asymptotics and analytic modes for the wave equation in similarity coordinates

Roland Donninger

We consider the radial wave equation in similarity coordinates within the semigroup formalism. It is known that the generator of the semigroup exhibits a continuum of eigenvalues and embedded in this continuum there exists a discrete set of eigenvalues wit ...

Springer Verlag2009

On the coupling of 1D and 3D Diffusion-Reaction Equations: Application to Tissue Pefusion Problems

Alfio Quarteroni, Carlo D'Angelo

In this paper we consider the coupling between two diffusion-reaction problems, one taking place in a three-dimensional domain Ω, the other in a one-dimensional subdomain Λ. This coupled problem is the simplest model of fluid flow in a three-dimensional po ...

2008

Mathematical analysis and numerical simulation of the motion of a glacier

Adrian Reist

A numerical method for the simulation of the motion of a glacier in two and three dimensions is presented. Glacier ice is treated as an incompressible viscous fluid. The model equations are based on mass, momentum, energy conservation and a specific rheolo ...

EPFL2005

Global regularity of wave maps from $R^{3+1}$ to surfaces

Joachim Krieger

We consider Wave Maps with smooth compactly supported initial data of small (H) over dot (3/2)-norm from R3+1 to certain 2-dimensional Riemannian manifolds and show that they stay smooth globally in time. Our methods are based on the introduction of a glob ...

Springer Verlag2003

Liouville type theorems for mappings with bounded (co)-distortion

Marc Troyanov

We obtain Liouville type theorems for mappings with bounded

s

-distorsion between Riemannian manifolds. Besides these mappings, we introduce and study a new class, which we call mappings with bounded

q

-codistorsion. ...

2002

Parabolicity of manifolds

Marc Troyanov

This Paper is an introduction to the study of an invariant of Riemannian manifolds related to the non-linear potential theory of the p-Laplacian and which is called its parabolic or hyperbolic type. One of our main focus is the relationship between the asy ...

1999

Liouville type theorems for mappings with bounded (co)-distortion

Marc Troyanov

We obtain Liouville type theorems for mappings with bounded

s

-distorsion between Riemannian manifolds. Besides these mappings, we introduce and study a new class, which we call mappings with bounded

q

-codistorsion. ...

2002