On weakly nonlinear wave equation with non-classical boundary conditions

Autor:	Zavalani, Gentian
Přispěvatelé:	Center for Advanced Systems Understanding (CASUS)
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 2010 MSC: 35B20 35B40 35L05 [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
Popis:	The purpose of this paper is to describe an initial value problem for a weakly nonlinear wave equation with nonclassical boundary conditions. In constructing an approximation of the solution a multiple time-scales perturbation in combination with the eigenfunction expansion method will be used. A semi-group approach will be used to show the asymptotic validity of formal approximations of the solution on long-time scales. It will also be shown that all solutions tend to zero for a sufficiently large value of damping parameter.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::49b6ed437e60896263d050f463106e6c https://hal.archives-ouvertes.fr/hal-01976871 Zobrazit plný text záznamu