Modeling of Nonlinear Waves in Two Coaxial Physically Nonlinear Shells with a Viscous Incompressible Fluid Between Them, Taking into Account the Inertia of its Motion

DOI10.20537/nd200204zbMath1445.74037OpenAlexW3037949978MaRDI QIDQ3304721

Yury A. Blinkov, L. I. Mogilevich, S. V. Ivanov

Publication date: 3 August 2020

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd710

zbMATH Keywords

solitary waveCrank-Nicolson difference schemedeformation wave

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Nonlinear waves in solid mechanics (74J30) Shells (74K25) Finite difference methods applied to problems in solid mechanics (74S20) Solitary waves in solid mechanics (74J35)

Related Items (1)

Application of the Kudryashov Method for Finding Exact Solutions of the Schamel – Kawahara Equation

Cites Work

• Asymptotic analysis of nonlinear dynamics of simply supported cylindrical shells
• Self-propulsion of a smooth body in a viscous fluid under periodic oscillations of a rotor and circulation
• The generalized Schamel equation in nonlinear wave dynamics of cylindrical shells
• Generation of difference schemes for the Burgers equation by constructing Gröbner bases
• Gröbner bases and generation of difference schemes for partial differential equations
• Burger's-Korteweg-de Vries equation for viscoelastic rods and plates
• Involution and Difference Schemes for the Navier–Stokes Equations
• The Study of Wave Propagation in a Shell with Soft Nonlinearity and with a Viscous Liquid Inside
• Dynamics of a Body with a Sharp Edge in a Viscous Fluid
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