Zobrazeno 1 - 10
of 134
pro vyhledávání: '"65p30"'
We develop a powerful and general method to provide arbitrarily accurate rigorous upper and lower bounds for Lyapunov exponents of stochastic flows. Our approach is based on computer-assisted tools, the adjoint method and established results on the e
Externí odkaz:
http://arxiv.org/abs/2411.07064
Autor:
Heßler, Martin, Kamps, Oliver
The Greenland Ice Sheet may be nearing a tipping point, transitioning to permanent melting. This article analyses two melt rate time series using the Bayesian Langevin estimation (BLE), providing further evidence for destabilizing melt dynamics, alon
Externí odkaz:
http://arxiv.org/abs/2411.07248
Autor:
Czwórnóg, Jakub, Wilczak, Daniel
Steady states of the Swift--Hohenberg equation are studied. For the associated four--dimensional ODE we prove that on the energy level $E=0$ two smooth branches of even periodic solutions are created through the saddle-node bifurcation. We also show
Externí odkaz:
http://arxiv.org/abs/2409.03036
Autor:
Ficek, Filip, Maliborski, Maciej
We study time-periodic solutions for the cubic wave equation on an interval with Dirichlet boundary conditions. We begin by following the perturbative construction of Vernov and Khrustalev and provide a rigorous derivation of the fourth-order expansi
Externí odkaz:
http://arxiv.org/abs/2407.16507
This paper introduces a novel computer-assisted method for detecting and constructively proving the existence of cusp bifurcations in differential equations. The approach begins with a two-parameter continuation along which a tool based on the theory
Externí odkaz:
http://arxiv.org/abs/2404.00535
In this paper we consider a superlinear one-dimensional elliptic boundary value problem that generalizes the one studied by Moore and Nehari in [43]. Specifically, we deal with piecewise-constant weight functions in front of the nonlinearity with an
Externí odkaz:
http://arxiv.org/abs/2402.19084
In this paper we find out some new blow-up estimates for the positive explosive solutions of a paradigmatic class of elliptic boundary value problems of superlinear indefinite type. These estimates are obtained by combining the scaling technique of G
Externí odkaz:
http://arxiv.org/abs/2402.01519
Autor:
Meiners, Alexander, Uecker, Hannes
We describe how some differential geometric bifurcation problems can be treated with the MATLAB continuation and bifurcation toolbox pde2path. The basic setup consists in solving the PDEs for the normal displacement of an immersed surface $X\subset\m
Externí odkaz:
http://arxiv.org/abs/2309.03646
We consider nonlinear delay differential and renewal equations with infinite delay. We extend the work of Gyllenberg et al, Appl. Math. Comput. (2018) by introducing a unifying abstract framework, and derive a finite-dimensional approximating system
Externí odkaz:
http://arxiv.org/abs/2306.13351
Autor:
Wilkening, Jon, Zhao, Xinyu
We present a numerical study of spatially quasi-periodic gravity-capillary waves of finite depth in both the initial value problem and traveling wave settings. We adopt a quasi-periodic conformal mapping formulation of the Euler equations, where one-
Externí odkaz:
http://arxiv.org/abs/2301.01289