Structural acoustic problem and dynamic nonlinear plate equations

DOI10.1080/00036811.2020.1839644zbMath1491.74021OpenAlexW3095417919MaRDI QIDQ5865348

Abdelkrim El Mouatasim, Jaouad Oudaani, Mustapha Raïssouli

Publication date: 13 June 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1839644

zbMATH Keywords

existencefinite difference methodstructural acoustic interactionvon Karman plate equationglobal functional energy methoduniqueness: weak solution

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Plates (74K20) Finite difference methods applied to problems in solid mechanics (74S20) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Unnamed Item
• Unnamed Item
• Direct solution of the biharmonic equation using noncoupled approach
• Les equations de von Kármán
• Numerical approach to the uniqueness solution of von-Karman evolution
• Von Karman Evolution Equations
• Numerical Methods for the First Biharmonic Equation and for the Two-Dimensional Stokes Problem
• A family of conservative finite difference schemes for the dynamical von Karman plate equations

This page was built for publication: Structural acoustic problem and dynamic nonlinear plate equations