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20242026
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math.AP2026

Mixing and enhanced dissipation in a time-translating shear flow

Johannes Benthaus, Giuseppe Maria Coclite, Camilla Nobili

Motivated in part by the work of Vanneste and Byatt-Smith, we study mixing and enhanced dissipation for the advection-diffusion equation with velocity field $\mathbf{u}(x,y,t)=(\si…

math.AP2025

Singular limit for a class of nonlocal conservation laws via compensated compactness

Giuseppe Maria Coclite, Nicola De Nitti, Kuang Huang

We consider a class of nonlocal conservation laws modeling traffic flows, given by ,…

math.AP2025

Upwind filtering of scalar conservation laws

Giuseppe Maria Coclite, Kenneth Hvistendahl Karlsen, Nils Henrik Risebro

We study a class of multi-dimensional non-local conservation laws of the form , where the standard local divergence $\operatorna…

math.AP2024

Analysis of an asymptotic thermo fluid-dynamic model for parabolic trough power plants

Giuseppe Maria Coclite, Ingenuin Gasser

Parabolic trough power plants transform solar radiative energy into thermal energy which is then typically used to produce electricity. We consider a model derived in \cite{BGSP} t…

math.AP2024

Comparison between solutions to the linear peridynamics model and solutions to the classical wave equation

Giuseppe Maria Coclite, Serena Dipierro, Francesco Maddalena +2

In this paper, we consider an equation inspired by linear peridynamics and we establish its connection with the classical wave equation. In particular, given a horizon accou…