Zobrazeno 1 - 10
of 2 298
pro vyhledávání: '"35b35"'
Autor:
Aveboukh, Yurii, Volkov, Aleksei
The paper is concerned with the development of Lyapunov methods for the analysis of equilibrium stability in a dynamical system on the space of probability measures driven by a non-local continuity equation. We derive sufficient conditions of stabili
Externí odkaz:
http://arxiv.org/abs/2410.08913
Autor:
Ikeda, Hideo, Kuwamura, Masataka
Mass-conserving reaction-diffusion systems with bistable nonlinearity are considered under general assumptions. The existence of stationary solutions with a single internal transition layer in such reaction-diffusion systems is shown using the analyt
Externí odkaz:
http://arxiv.org/abs/2410.06404
We characterise quantitative semi-uniform stability for $C_0$-semigroups arising from port-Hamiltonian systems, complementing recent works on exponential and strong stability. With the result, we present a simple universal example class of port-Hamil
Externí odkaz:
http://arxiv.org/abs/2410.02357
Autor:
Schmitz, Lina Sophie
We analytically study a stationary free boundary problem describing a soap film bridge subjected to an electrostatic force. Starting from a cylinder that the soap film forms if its surface tension and the electrostatic force are perfectly balanced, w
Externí odkaz:
http://arxiv.org/abs/2409.18784
Autor:
Alexopoulos, Joannis, de Rijk, Björn
Recently, a nonlinear stability theory has been developed for periodic wave trains in reaction-diffusion systems, which diverges from previous approaches by lifting all localization or periodicity assumptions on perturbations. It solely relies on dec
Externí odkaz:
http://arxiv.org/abs/2409.17859
Autor:
Roberti, Luigi, Stefanescu, Eduard
We consider a model for the Antarctic Circumpolar Current in rotating spherical coordinates. After establishing global-in-time existence and uniqueness of classical solutions, we turn our attention to the issue of stability of a class of steady zonal
Externí odkaz:
http://arxiv.org/abs/2409.17013
The paper aims on the construction of weak solutions to equations of a model of compressible viscous fluids, being a simplification of the classical compressible Navier-Stokes system. We present a novel scheme for approximating systems that preserves
Externí odkaz:
http://arxiv.org/abs/2409.16933
Autor:
Åhag, Per, Czyż, Rafał
This study extends the celebrated volume-capacity estimates of Dinew and Kolodziej, providing a foundation for examining the regularity of solutions to boundary value problems for complex Hessian equations. By integrating the techniques established b
Externí odkaz:
http://arxiv.org/abs/2409.16848
Autor:
Hintz, Peter, Vasy, András
We give a new proof of the recent result by Fournodavlos-Schlue on the nonlinear stability of the expanding region of Kerr-de Sitter spacetimes as solutions of the Einstein vacuum equations with positive cosmological constant. Our gauge is a modifica
Externí odkaz:
http://arxiv.org/abs/2409.15460
We study the spectral stability of smooth, small-amplitude periodic traveling wave solutions of the Novikov equation, which is a Camassa-Holm type equation with cubic nonlinearities. Specifically, we investigate the $L^2(\mathbb{R})$-spectrum of the
Externí odkaz:
http://arxiv.org/abs/2409.13969