Publication
Semi-analytical Solutions for Tubular Chemical Reactors
Publications associées (42)
Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators
Jean-Philippe Lucien Montillet
Families of energy operators and generalized energy operators have recently been introduced in the definition of the solutions of linear Partial Differential Equations (PDEs) with a particular application to the wave equation [ 15]. To do so, the author ha ...
Int Center Scientific Research & Studies2017Dynamical Low Rank approximation of PDEs with random parameters
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 ...
EPFL2017Optimal solution and asymptotic properties of a stochastic control problem arising in sailboat trajectory optimization
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 ...
EPFL2017Generalization 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 ...
Elsevier2017Can Dissipative Properties of Single Molecules Be Extracted from a Force Spectroscopy Experiment?
Giovanni Dietler, Andrzej Kulik, Fabrizio Benedetti, Dmitry Klinov
We performed dynamic force spectroscopy of single dextran and titin 127 molecules using small-amplitude and low-frequency (40-240 Hz) dithering of an atomic force microscope tip excited by a sine wave voltage fed onto the tip-carrying piezo. We show that f ...
Elsevier2016A posteriori error estimation for partial differential equations with random input data
This thesis is devoted to the derivation of error estimates for partial differential equations with random input data, with a focus on a posteriori error estimates which are the basis for adaptive strategies. Such procedures aim at obtaining an approximati ...
EPFL2016Calculus of Variations for Differential Forms
In this thesis we study calculus of variations for differential forms. In the first part we develop the framework of direct methods of calculus of variations in the context of minimization problems for functionals of one or several differential forms of th ...
EPFL2016Incremental Model Identification in Distributed Two-phase Reaction Systems
Dominique Bonvin, Julien Léo Billeter, Diogo Filipe Mateus Rodrigues
Transformation to variant and invariant states, called extents, is used to decouple the dynamic effects of reaction systems and serves as basis for incremental model identification, in which kinetic models are identified individually for each dynamic effec ...
IFAC2015Localized Orthogonal Decomposition Techniques For Boundary Value Problems
In this paper we propose a local orthogonal decomposition method (LOD) for elliptic partial differential equations with inhomogeneous Dirichlet and Neumann boundary conditions. For this purpose, we present new boundary correctors which preserve the common ...
Siam Publications2014Observations on out-of-plane behaviour of URM walls in buildings with RC slabs
In Switzerland many new residential buildings are constructed as unreinforced masonry (URM) structures or as mixed structures where URM walls are coupled with reinforced concrete (RC) walls by RC slabs. At present the boundary conditions of URM walls subje ...
2014