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pro vyhledávání: '"34g20"'
In this work, we introduce a compartmental advection-diffusion network model to describe the propagation of stress in a population situated in two interconnected spatial zones during a disaster situation. The model accounts for interactions enabled b
Externí odkaz:
http://arxiv.org/abs/2409.14187
Autor:
Arendt, Wolfgang, Daners, Daniel
We study semi-linear evolutionary problems where the linear part is the generator of a positive $C_0$-semigroup. The non-linear part is assumed to be quasi-increasing. Given an initial value in between a sub- and a super-solution of the stationary pr
Externí odkaz:
http://arxiv.org/abs/2407.05522
Motivated by the development of dynamics in probability spaces, we propose a novel multi-agent dynamic of consensus type where each agent is a probability measure. The agents move instantaneously towards a weighted barycenter of the ensemble accordin
Externí odkaz:
http://arxiv.org/abs/2407.06389
In this paper we investigate the asymptotic stability of a fourth-order PDE with a fading memory forcing term and boundary conditions arising from a flexible robotics model. We carry on our study by using an abstract formulation of the problem based
Externí odkaz:
http://arxiv.org/abs/2405.20949
Publikováno v:
SIGMA 20 (2024), 087, 26 pages
The aim of this work is focused on the investigation of the algebraic complete integrability of the Toda lattice associated with the twisted affine Lie algebra $a_4^{(2)}$. First, we prove that the generic fiber of the momentum map for this system is
Externí odkaz:
http://arxiv.org/abs/2404.13688
This paper discusses a multi-term time-fractional delay differential equation in a real Hilbert space. An iterative scheme for a multi-term time-fractional differential equation is established using Rothe's method. The method of semi-discretization i
Externí odkaz:
http://arxiv.org/abs/2403.07823
This paper is concerned with the approximation of solutions to a class of second order non linear abstract differential equations. The finite-dimensional approximate solutions of the given system are built with the aid of the projection operator. We
Externí odkaz:
http://arxiv.org/abs/2309.02445
Autor:
László, Szilárd Csaba
This paper deals with a second order dynamical system with a Tikhonov regularization term in connection to the minimization problem of a convex Fr\'echet differentiable function. The fact that beside the asymptotically vanishing damping we also consi
Externí odkaz:
http://arxiv.org/abs/2401.02676
Higher-order regularization problem formulations are popular frameworks used in machine learning, inverse problems and image/signal processing. In this paper, we consider the computational problem of finding the minimizer of the Sobolev $\mathrm{W}^{
Externí odkaz:
http://arxiv.org/abs/2310.12691
We propose an infinite Kuramoto model for a countably infinite set of Kuramoto oscillators and study its emergent dynamics for two classes of network topologies. For a class of symmetric and row(or column)-summable network topology, we show that a ho
Externí odkaz:
http://arxiv.org/abs/2309.16538