Publication
Some approximate solutions of the transport equation with irreversible kinetics
Publications associées (43)
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We study the global well-posedness and asymptotic behavior for a semilinear damped wave equation with Neumann boundary conditions, modeling a one-dimensional linearly elastic body interacting with a rigid substrate through an adhesive material. The key fea ...
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Lausanne2024Semiclassical Estimates for Eigenvalue Means of Laplacians on Spheres
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SPRINGER2023DeepBND: A machine learning approach to enhance multiscale solid mechanics
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2023Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves
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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 ...
2021Decay for the nonlinear KdV equations at critical lengths
We consider the nonlinear Korteweg-de Vries (KdV) equation in a bounded interval equipped with the Dirichlet boundary condition and the Neumann boundary condition on the right. It is known that there is a set of critical lengths for which the solutions of ...
2020Improved Modeling of Sediment Oxygen Kinetics and Fluxes in Lakes and Reservoirs
To understand water quality degradation during hypoxia, we need to understand sediment oxygen fluxes, the main oxygen sink in shallow hypolimnia. Kinetic models, which integrate diffusion and consumption of dissolved oxygen (DO) in sediments, usually assume ...
2020Motility-Induced Microphase and Macrophase Separation in a Two-Dimensional Active Brownian Particle System
As a result of nonequilibrium forces, purely repulsive self-propelled particles undergo macrophase separation between a dense and a dilute phase. We present a thorough study of the ordering kinetics of such motility-induced phase separation (MIPS) in activ ...
2020Brownian Swarm Dynamics and Burgers’ Equation with Higher Order Dispersion
he concept of ranked order probability distribution unveils natural probabilistic interpretations for the kink waves (and hence the solitons) solving higher order dispersive Burgers’ type PDEs. Thanks to this underlying structure, it is possible to propose ...
2020