Results 51 to 60 of about 118 (113)
Dynamics for wave equations connected in parallel with nonlinear localized damping
Advances in Nonlinear AnalysisThis study investigates the properties of solutions about one-dimensional wave equations connected in parallel under the effect of two nonlinear localized frictional damping mechanisms.
Gao Yunlong, Sun Chunyou, Zhang Kaibin
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35B41; 35L05; 37L30; 74F99; 74K20; Boundary-interface dissipation; Global attractors; Kirchhoff-Boussinesq plate and interface; Structure-acoustic dynamical ...
Rodrigues, José H., Lasiecka, Irena
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Rogue peakon, posedness and blow-up phenomenon for an integrable Camassa–Holm type equation
Advances in Nonlinear AnalysisIn this paper, we study an integrable Camassa–Holm (CH) type equation with quadratic nonlinearity. The CH type equation is shown integrable through a Lax pair, and particularly the equation is found to possess a new kind of peaked soliton (peakon ...
Zhu Mingxuan +3 more
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Exact Analytical Solutions of Linear DissipativeWave Equations via Laplace Transform Method
, 2021 A wave phenomena evolved day after day, as various conceptsregarding waves appeared with the passage of time. These phenomenaare generally modelled mathematically by partial differential equations(PDEs).
Muhammad Jamil; Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa +2 more
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Klein-Gordon potential in characteristic coordinates
Demonstratio MathematicaBy the Klein-Gordon potential, we call a convolution-type integral with a kernel, which is the fundamental solution of the Klein-Gordon equation and also a solution of the Cauchy problem to the same equation.
Kal’menov Tynysbek, Suragan Durvudkhan
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Computational and Mathematical BiophysicsThis study presents a mathematical model of glioma growth dynamics with drug resistance, capturing interactions among five cell populations – glial cells, sensitive and resistant glioma cells, endothelial cells, and neurons – alongside chemotherapy and ...
Hanum Latifah +2 more
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Continuous dependence on initial data for damped fourth-order wave equation with strain term
Advances in Nonlinear AnalysisThis article investigates the fourth-order wave equation with general nonlinear strain term as well as both strong and weak damping terms. By deriving and utilizing energy decay estimate independent of the initial data in the stable manifold, we derive ...
Han Jiangbo, Wu Weipeng
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Periodic solutions for a coupled system of wave equations with x-dependent coefficients
Advanced Nonlinear StudiesThis paper is concerned with the periodic solutions for a coupled system of wave equations with x-dependent coefficients. Such a model arises naturally when two waves propagate simultaneously in the nonisotrpic media.
Deng Jiayu, Ji Shuguan
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A Simple Example of Localized Parametric Resonance for the Wave Equation [PDF]
, 2008 2000 Mathematics Subject Classification: 35L05, 35P25, 47A40.The problem studied here was suggested to us by V. Petkov. Since the beginning of our careers, we have benefitted from his insights in partial differential equations and mathematical physics ...
COLOMBINI, FERRUCCIO +2 more
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Advances in Nonlinear Analysis, 2017 In this paper, we study the following water wave model with a nonlocal viscous term:
Goubet Olivier, Manoubi Imen
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