118 citations
- University of PaduaIT28 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Laboratoire Jacques-Louis LionsFR3 papers
- Sorbonne UniversitéFR3 papers
- Vrije Universiteit AmsterdamNL3 papers
- Institut de recherche mathématique de RennesFR2 papers
- Institut national de recherche en sciences et technologies du numériqueFR2 papers
- New York UniversityUS2 papers
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- Université de StrasbourgFR2 papers
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8 papers · 1 filter
Optimization of Fully Controlled Sweeping Processes
Tan H. Cao, Giovanni Colombo, Boris S. Mordukhovich +1
The paper is devoted to deriving necessary optimality conditions in a general optimal control problem for dynamical systems governed by controlled sweeping processes with hard-cons…
Transits close to the Lagrangian solutions in the Elliptic Restricted Three-body Problem
Rocío Isabel Páez, Massimiliano Guzzo
In the last decades a peculiar family of solutions of the Circular Restricted Three Body Problem has been used to explain the temporary captures of small bodies and spacecrafts by…
First order Mean Field Games in the Heisenberg group: periodic and non periodic case
Paola Mannucci, Claudio Marchi, Nicoletta Tchou
In this paper we study evolutive first order Mean Field Games in the Heisenberg group~$\He^1$; each agent can move only along "horizontal" trajectories which are given in terms of…
Korteweg-de Vries and Fermi-Pasta-Ulam-Tsingou: asymptotic integrability of quasi unidirectional waves
Matteo Gallone, Antonio Ponno, Bob Rink
In this paper we construct a higher order expansion of the manifold of quasi unidirectional waves in the Fermi-Pasta-Ulam (FPU) chain. We also approximate the dynamics on this mani…
Maximal -regularity for parabolic Hamilton-Jacobi equations and applications to Mean Field Games
Marco Cirant, Alessandro Goffi
In this paper we investigate maximal -regularity for time-dependent viscous Hamilton-Jacobi equations with unbounded right-hand side and superlinear growth in the gradient. Ou…
Attainable profiles for conservation laws with flux function spatially discontinuous at a single point
Fabio Ancona, Maria Teresa Chiri
Consider a scalar conservation law with discontinuous flux \begin{equation*}\tag{1} \quad u_{t}+f(x,u)_{x}=0, \qquad f(x,u)= \begin{cases} f_l(u)\ &\text{if}\ x<0,\\ f_r(u)\ & \tex…