Publications associées à Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators

On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$

We show that the finite time type II blow up solutions for the energy critical nonlinear wave equation [ \Box u = -u^5 ] on

\mathbb{R}^{3+1}

constructed in [28], [27] are stable along a co-dimension three manifold of radial data perturbations in a suit ...

2018

Dynamical Low Rank approximation of PDEs with random parameters

Eleonora Musharbash

In this work, we focus on the Dynamical Low Rank (DLR) approximation of PDEs equations with random parameters. This can be interpreted as a reduced basis method, where the approximate solution is expanded in separable form over a set of few deterministic b ...

EPFL2017

Semi-analytical Solutions for Tubular Chemical Reactors

Dominique Bonvin, Julien Léo Billeter, Diogo Filipe Mateus Rodrigues

The one-dimensional tubular reactor model with advection and possibly axial diffusion is the classical model of distributed chemical reaction systems. This system is described by partial differential equations that depend on the time t and the spati ...

Elsevier2017

Stochastic partial differential equations driven by Lévy white noises

Thomas Marie Jean-Baptiste Humeau

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

On sums of eigenvalues of elliptic operators on manifolds

Joachim Stubbe

We use the averaged variational principle introduced in a recent article on graph spectra [10] to obtain upper bounds for sums of eigenvalues of several partial differential operators of interest in geometric analysis, which are analogues of Kroger's bound ...

European Mathematical Soc2017

Optimal solution and asymptotic properties of a stochastic control problem arising in sailboat trajectory optimization

Carlo Ciccarella

We study the optimal strategy for a sailboat to reach an upwind island under the hypothesis that the wind direction fluctuates according to a Brownian motion and the wind speed is constant. The work is motivated by a concrete problem which typically arises ...

EPFL2017

MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters

Fabio Nobile, Eleonora Musharbash, Eva Vidlicková

In this paper we propose a dynamical low-rank strategy for the approximation of second order wave equations with random parameters. The governing equation is rewritten in Hamiltonian form and the approximate solution is expanded over a set of 2S dynamical ...

MATHICSE2017

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

Fabio Nobile, Eleonora Musharbash

In this paper we propose a dynamical low-rank strategy for the approximation of second order wave equations with random parameters. The governing equation is rewritten in Hamiltonian form and the approximate solution is expanded over a set of

2S

dynamica ...

2017

Generalization of the Concept of Extents to Distributed Reaction Systems

Dominique Bonvin, Julien Léo Billeter, Diogo Filipe Mateus Rodrigues

In the chemical industry, a large class of processes involving reactions can be described by partial differential equations that depend on time and on one or more spatial coordinates. Examples of such distributed reaction systems are tubular reactors and r ...

Elsevier2017

A Class Of Large Global Solutions For The Wave-Map Equation

Joachim Krieger, Elisabetta Chiodaroli

In this paper we consider the equation for equivariant wave maps from R3+1 to S-3 and we prove global in forward time existence of certain C-infinity-smooth solutions which have infinite critical Sobolev norm (H) overdot(3/4) (R-3) x (H) overdot(1/2) (R-3) ...

2017

Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators

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On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$

Dynamical Low Rank approximation of PDEs with random parameters

Semi-analytical Solutions for Tubular Chemical Reactors

Stochastic partial differential equations driven by Lévy white noises

On sums of eigenvalues of elliptic operators on manifolds

Optimal solution and asymptotic properties of a stochastic control problem arising in sailboat trajectory optimization

MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

Generalization of the Concept of Extents to Distributed Reaction Systems

A Class Of Large Global Solutions For The Wave-Map Equation

Dynamical Low Rank approximation of PDEs with random parameters

Optimal solution and asymptotic properties of a stochastic control problem arising in sailboat trajectory optimization

On sums of eigenvalues of elliptic operators on manifolds

On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

Semi-analytical Solutions for Tubular Chemical Reactors

Stochastic partial differential equations driven by Lévy white noises

Generalization of the Concept of Extents to Distributed Reaction Systems

MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters

A Class Of Large Global Solutions For The Wave-Map Equation