Nonlinear Wave Equation with Damping: Periodic Forcing and Non-Resonant\n Solutions to the Kuznetsov Equation

2016/11/27 by Aday Celik, Celik, Aday, Mads Kyed +1
Engineering · Mathematics · #35B10 #35B34 #35L05 #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical methods for differential equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1611.08883

openalex publication_date 2016/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Existence of non-resonant solutions of time-periodic type are established for\nthe Kuznetsov equation with a periodic forcing term. The equation is considered\nin a three-dimensional whole-space, half-space and bounded domain, and with\nboth non-homogeneous Dirichlet and Neumann boundary values. A method based on\nLp estimates of the corresponding linearization, namely the wave equation with\nKelvin-Voigt damping, is employed.\n

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