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most citedAn Improved Discrete Bat Algorithm for Symmetric and Asymmetric Traveling Salesman Problems

316 citations

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9 papers · 1 filter

math.AP2023

Large time asymptotics for partially dissipative hyperbolic systems without Fourier analysis: application to the nonlinearly damped p-system

Timothée Crin-Barat, Ling-Yun Shou, Enrique Zuazua

A new framework to obtain time-decay estimates for partially dissipative hyperbolic systems set on the real line is developed. Under the classical Shizuta-Kawashima (SK) stability…

math.AP2021★ 9 cited

Flow decomposition for heat equations with memory

Gengsheng Wang, Yubiao Zhang, Enrique Zuazua

We build up a decomposition for the flow generated by the heat equation with a real analytic memory kernel. It consists of three components: The first one is of parabolic nature; t…

math.AP2020

The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems

Carlos Esteve, Hicham Kouhkouh, Dario Pighin +1

We analyze the consequences that the so-called turnpike property has on the long-time behavior of the value function corresponding to a finite-dimensional linear-quadratic optimal…

math.AP2020★ 16 cited

Existence and cost of boundary controls for a degenerate/singular parabolic equation

Umberto Biccari, Víctor Hernández-Santamaría, Judith Vancostenoble

In this paper, we consider the following degenerate/singular parabolic equation where …

math.AP2019

Dynamics and control for multi-agent networked systems: a finite difference approach

Umberto Biccari, Dongnam Ko, Enrique Zuazua

We analyze the dynamics of multi-agent collective behavior models and their control theoretical properties. We first derive a large population limit to parabolic diffusive equation…

math.AP2019

Stability analysis of a 1D wave equation with a nonmonotone distributed damping

Swann Marx, Yacine Chitour, Christophe Prieur

This paper is concerned with the asymptotic stability analysis of a one dimensional wave equation subject to a nonmonotone distributed damping. A well-posedness result is provided…

math.AP2018★ 2 cited

WKB expansion for a fractional Schrödinger equation with applications to controllability

Umberto Biccari, Alejandro B. Aceves

This paper is devoted to the analysis of propagation properties for the solutions of a one-dimensional non-local Schrödinger equation involving the fractional Laplace operator $(-d…

math.AP2018

Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions

Yannick Privat, Emmanuel Trélat, Enrique Zuazua

We consider a spectral optimal design problem involving the Neumann traces of the Dirichlet-Laplacian eigenfunctions on a smooth bounded open subset of . The cost functio…

math.AP2018★ 15 cited

The Poisson equation from non-local to local

Umberto Biccari, Víctor Hernández-Santamaría

We analyze the limit behavior as of the solution to the fractional Poisson equation , with homogeneous Dirichlet boundary conditions $u_s\equiv 0…