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6 papers · 2 filters
Asymptotic behavior of solutions to the heat equation on noncompact symmetric spaces
Jean-Philippe Anker, Effie Papageorgiou, Hong-Wei Zhang
This paper is twofold. The first part aims to study the long-time asymptotic behavior of solutions to the heat equation on Riemannian symmetric spaces of noncompact type and…
Turbulent cascades for a family of damped Szegö equations
Patrick Gérard, Sandrine Grellier, Zihui He
In this paper, we study the transfer of energy from low to high frequencies for a family of damped Szegö equations. The cubic Szegö equation has been introduced as a toy model for…
On existence, stability and many-particle approximation of solutions of 1D Hughes model with linear costs
Boris Andreianov, Massimiliano Rosini, Graziano Stivaletta
This paper deals with the one-dimensional formulation of Hughes model for pedestrian flows in the setting of entropy solutions, which authorizes non-classical shocks at the locatio…
Schrödinger equation on noncompact symmetric spaces
Jean-Philippe Anker, Stefano Meda, Vittoria Pierfelice +2
We establish sharp-in-time kernel and dispersive estimates for the Schrödinger equation on non-compact Riemannian symmetric spaces of any rank. Due to the particular geometry at in…
Measure data problems for a class of elliptic equations with mixed absorption-reaction
Marie-Francoise Bidaut-Veron, Marta Garcia-Huidobro, Laurent Veron
We study the existence of nonnegative solutions to the Dirichlet problem $\CL^{_{^M}}_{p,q}u:=-Δu+u^p-M|\nabla u|^q=μ$ in a domain $Ω\subset\BBR^N$ where is a nonnegative Radon…
On long-time behavior of solutions of the Zakharov-Rubenchik/Benney-Roskes system
María E. Martínez, José M. Palacios
We study decay properties for solutions to the initial value problem associated with the one-dimensional Zakharov-Rubenchik/Benney-Roskes system. We prove time-integrability in gro…