p(x)-bi-Laplacian : application on time-PDEs in viscoelasticity /

Zennir, Khaled.

p(x)-bi-Laplacian : application on time-PDEs in viscoelasticity / Khaled Zennir, Svetlin G. Georgiev. - Singapore : World Scientific, c2024. - 1 online resource (xiv, 424 p.)

Includes bibliographical references and index.

Introduction -- Love-type waves with past history -- Viscoelastic wave equation with power nonlinearity -- Plate equation in Rn -- Nonexistence of global solutions for nonlinear equation via contradiction argument -- Nonlinear wave p-laplace equation -- Nonlinear Kirchhoff-type equations with Kelvin-Voigt damping in variable exponents -- Nonlocal systems involving the p(x)-Laplacian operator -- Dynamics of a coupled system for nonlinear damped wave equations with variable exponents -- Pseudo-parabolic equations with p(x) Bi-Laplacian.

"The main subject of our book is to use the (p, p(x) and p(x))-bi-Laplacian operator in some partial differential systems, where we developed and obtained many results in quantitative and qualitative point of view"--


Mode of access: World Wide Web.
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9789811291562 981129156X

2024018754


Laplacian operator.
Viscoelasticity--Mathematics.
Nonlinear waves.
Differentiable dynamical systems.
Time-series analysis.


Electronic books.

QA377

515/.353