Concept

Équation de diffusion

Publications associées (132)

Neurite Exchange Imaging ((NEXI): A minimal model of diffusion in gray matter with inter-compartment water exchange

Ileana Ozana Jelescu, Alexandre Jean François Marie De Skowronski

Biophysical models of diffusion in white matter have been center-stage over the past two decades and are essentially based on what is now commonly referred to as the "Standard Model" (SM) of non-exchanging anisotropic compartments with Gaussian diffusion. ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2022

Simulating Microswimmers Under Confinement With Dissipative Particle (Hydro) Dynamics

Ignacio Pagonabarraga Mora

In this work we study microwimmers, whether colloids or polymers, embedded in bulk or in confinement. We explicitly consider hydrodynamic interactions and simulate the swimmers via an implementation inspired by the squirmer model. Concerning the surroundin ...

FRONTIERS MEDIA SA2022

Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations

Fabio Nobile, Yoshihito Kazashi, Eva Vidlicková

We consider the Dynamical Low Rank (DLR) approximation of random parabolic equations and propose a class of fully discrete numerical schemes. Similarly to the continuous DLR approximation, our schemes are shown to satisfy a discrete variational formulation ...

SPRINGER HEIDELBERG2021

Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves

Maria Colombo, Camillo De Lellis

The seminal work of DiPerna and Lions (Invent Math 98(3):511-547, 1989) guarantees the existence and uniqueness of regular Lagrangian flows for Sobolev vector fields. The latter is a suitable selection of trajectories of the related ODE satisfying addition ...

2021

Validating atlas-based lesion disconnectomics in multiple sclerosis: A retrospective multi-centric study

Tobias Kober, Bénédicte Marie Maréchal, Reto Meuli, Jonas Richiardi, Mario Joao Fartaria de Oliveira

The translational potential of MR-based connectivity modelling is limited by the need for advanced diffusion imaging, which is not part of clinical protocols for many diseases. In addition, where diffusion data is available, brain connectivity analyses rel ...

2021

Gradient flow emulation using drift diffusion processes

Sanket Sanjay Diwale

The present invention concerns a method of emulating gradient flow for solving a given problem as a charge distribution in a device (1) comprising: first type charge carrier regions (5) interfacing a second type charge carrier region (11) thereby forming c ...

2021

Quantitative rapid and finite time stabilization of the heat equation

Shengquan Xiang

The null controllability of the heat equation is known for decades [21, 25, 34]. The finite time stabilizability of the one dimensional heat equation was proved by Coron-Nguyên [15], while the same question for high dimensional spaces remained widely open. ...

2020

The Surface Quasi-geostrophic Equation With Random Diffusion

Klaus Martin Widmayer

Consider the surface quasi-geostrophic equation with random diffusion, white in time. We show global existence and uniqueness in high probability for the associated Cauchy problem satisfying a Gevrey type bound. This article is inspired by a recent work of ...

OXFORD UNIV PRESS2020

First demonstration of real-time kinetic equilibrium reconstruction on TCV by coupling LIUQE and RAPTOR

Olivier Sauter, Jean-Marc Moret, Federico Alberto Alfredo Felici, Antoine Pierre Emmanuel Alexis Merle, Cristian Galperti, Francesco Carpanese

Kinetic equilibrium reconstruction (KER) in tokamaks is the solution of the free-boundary MHD equilibrium that best fits the external magnetic measurements and the internal plasma profiles as imposed from modeling and/or available internal measurements. In ...

2020

MATHICSE Technical Report: Stability properties of a projector-splitting scheme for the dynamical low rank approximation of random parabolic equations

Fabio Nobile, Yoshihito Kazashi, Eva Vidlicková

MATHICSE2020

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