Zobrazeno 1 - 10
of 272
pro vyhledávání: '"37l05"'
For the non-monotone Hamilton-Jacobi equations of contact type, the associated Lax-Oleinik semiflow $(T_t, C(M))$ is expansive. In this paper, we provide qualitative estimates for both the lower and upper bounds of the topological entropy of the semi
Externí odkaz:
http://arxiv.org/abs/2412.15087
Autor:
Bot, Radu Ioan, Sonntag, Konstantin
In this paper we introduce, in a Hilbert space setting, a second order dynamical system with asymptotically vanishing damping and vanishing Tikhonov regularization that approaches a multiobjective optimization problem with convex and differentiable c
Externí odkaz:
http://arxiv.org/abs/2411.18422
We consider the quasilinear magneto-quasistatic field equations that arise in the simulation of low-frequency electromagnetic devices coupled to electrical circuits. Spatial discretization of these equations on 3D domains using the finite element met
Externí odkaz:
http://arxiv.org/abs/2411.14226
We consider Wasserstein gradient flows of maximum mean discrepancy (MMD) functionals $\text{MMD}_K^2(\cdot, \nu)$ for positive and negative distance kernels $K(x,y) := \pm |x-y|$ and given target measures $\nu$ on $\mathbb{R}$. Since in one dimension
Externí odkaz:
http://arxiv.org/abs/2411.09848
Autor:
Arora, Sumit, Nandakumaran, Akambadath
The current study addresses the control problems posed by a semilinear neutral integro-differential equation with memory. The primary objectives of this study are to investigate the existence of a mild solution and approximate controllability of both
Externí odkaz:
http://arxiv.org/abs/2407.07886
This paper investigates the application of mini-batch gradient descent to semiflows. Given a loss function, we introduce a continuous version of mini-batch gradient descent by randomly selecting sub-loss functions over time, defining a piecewise flow
Externí odkaz:
http://arxiv.org/abs/2407.07556
We reconsider the fundamental problem of coarse-graining infinite-dimensional Hamiltonian dynamics to obtain a macroscopic system which includes dissipative mechanisms. In particular, we study the thermodynamical implications concerning Hamiltonians,
Externí odkaz:
http://arxiv.org/abs/2404.09284
Autor:
Olimov, U. R., Rozikov, U. A.
We investigate discrete-time dynamical systems generated by an infinite-dimensional non-linear operator that maps the Banach space $l_1$ to itself. It is demonstrated that this operator possesses up to seven fixed points. By leveraging the specific f
Externí odkaz:
http://arxiv.org/abs/2402.15479
Autor:
Mehrmann, Volker, Zwart, Hans
In this paper we study the representation of partial differential equations (PDEs) as abstract differential-algebraic equations (DAEs) with dissipative Hamiltonian structure (adHDAEs). We show that these systems not only arise when there are constrai
Externí odkaz:
http://arxiv.org/abs/2311.03091
Autor:
Boumasmoud Soufiane, Ezzinbi Khalil
Publikováno v:
Nonautonomous Dynamical Systems, Vol 11, Iss 1, Pp 103-121 (2024)
This article aims to exhibit new instability results on the effects of arbitrary delay on a class of second-order evolution equations involving in a Hilbert space. More precisely, we prove that arbitrary finite, large or small delay might remarkably
Externí odkaz:
https://doaj.org/article/3e27e05834704a858eb7871047f457d1
