Publication
Optimality of integrability estimates for advection–diffusion equations
Related publications (42)
Atomic scale volume and grain boundary diffusion elucidated by in situ STEM
Johann Michler, Xavier Maeder, Laszlo Pethö, Amit Sharma
Diffusion is one of the most important phenomena studied in science ranging from physics to biology and, in abstract form, even in social sciences. In the field of materials science, diffusion in crystalline solids is of particular interest as it plays a p ...
Berlin2023Simulating Microswimmers Under Confinement With Dissipative Particle (Hydro) Dynamics
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 SA2022Numerical simulation of sediment dynamics with free surface flows
We present a numerical model for the simulation of 3D mono-dispersed sediment dynamics in a Newtonian flow with free surfaces. The physical model is a macroscopic model for the transport of sediment based on a sediment concentration with a single momentum ...
EPFL2021First 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 ...
2020The Surface Quasi-geostrophic Equation With Random Diffusion
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 PRESS2020Truncated Levy motion through path integrals and applications to nondiffusive suprathermal ion transport
Ambrogio Fasoli, Ivo Furno, Paolo Ricci, Marcelo Baquero Ruiz, Oulfa Chellaï, Fabian Manke
Fractional Levy motion has been derived from its generalized Langevin equation via path integrals in earlier works and has since proven to be a useful model for nonlocal and non-Markovian processes, especially in the context of nondiffusive transport. Here ...
AMER PHYSICAL SOC2019Oxygen diffusion through air–water free surfaces in a pump–turbine operating in condenser mode
François Avellan, Elena Vagnoni, Loïc Andolfatto, Pierre Leroy
The present research aims at understanding the mass transfer of air into water in a reversible pump turbine operating in condenser mode. In particular, the diffusion of oxygen through the water free-surface both in the vaneless gap between the impeller bla ...
2019Dissolution-reprecipitation reaction of dolomite: investigation of self- and tracer-diffusion using SIMS mini-spot and NanoSIMS profiles
Anders Meibom, Stéphane Laurent Escrig, Lukas Baumgartner
Recrystallization of minerals due to fluid infiltration modifies their original chemical and isotopic signature. Such processes are sought after as they give access to timescales of geologic processes, which are commonly quantified using diffusion chronome ...
2019Global Solutions To Stochastic Reaction-Diffusion Equations With Super-Linear Drift And Multiplicative Noise
Robert Dalang, Davar Khoshnevisan
Let xi(t, x) denote space-time white noise and consider a reaction-diffusion equation of the form (t, x) = 1/2u ''(t, x) + b(u(t, x)) + sigma(u(t,x))xi(t,x) on R+ x [0, 1], with homogeneous Dirichlet boundary conditions and suitable initial d ...
INST MATHEMATICAL STATISTICS2019Diffusion behavior of cerebral metabolites of congenital portal systemic shunt mice assessed noninvasively by diffusion-weighted H-1 magnetic resonance spectroscopy
Hongxia Lei, Nicolas Kunz, Masoumeh Dehghani Moghadam
Diffusion-weighted H-1-MRS (DW-MRS) allows for noninvasive investigation of the cellular compartmentalization of cerebral metabolites. DW-MRS applied to the congenital portal systemic shunt (PSS) mouse brain may provide specific insight into alterations of ...
2019