Results 81 to 90 of about 1,361 (131)

Rogue peakon, posedness and blow-up phenomenon for an integrable Camassa–Holm type equation

Advances in Nonlinear Analysis
In 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, Qiao Zhijun, Wang Zhidong, Jiang Zaihong   +3 more
doaj   +1 more source

Theoretical analysis of a water wave model with a nonlocal viscous dispersive term using the diffusive approach

Advances in Nonlinear Analysis, 2017
In this paper, we study the following water wave model with a nonlocal viscous term:
Goubet Olivier, Manoubi Imen
doaj   +1 more source

Klein-Gordon potential in characteristic coordinates

Demonstratio Mathematica
By 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
doaj   +1 more source

Mathematical model of the impact of chemotherapy and antiangiogenic therapy on drug resistance in glioma growth

Computational and Mathematical Biophysics
This 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, Susyanto Nanang, Ertiningsih Dwi   +2 more
doaj   +1 more source

Continuous dependence on initial data for damped fourth-order wave equation with strain term

Advances in Nonlinear Analysis
This 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
doaj   +1 more source

Small data global regularity for half-wave maps in n = 4 dimensions. [PDF]

Commun Partial Differ Equ, 2021
Kiesenhofer A, Krieger J.
europepmc   +1 more source

Periodic solutions for a coupled system of wave equations with x-dependent coefficients

Advanced Nonlinear Studies
This 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
doaj   +1 more source

Analysis for Full-Field Photoacoustic Tomography with Variable Sound Speed. [PDF]

SIAM J Imaging Sci, 2022
Nguyen L, Haltmeier M, Kowar R, Do N.
europepmc   +1 more source

Uniform energy decay for wave equations with unbounded damping coefficients

, 2017
We consider the Cauchy problem for wave equations with unbounded damping coefficients in the whole space. For a general class of unbounded damping coefficients, we derive uniform total energy decay estimates together with a unique existence result of a ...
Ikehata, Ryo, Takeda, Hiroshi
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Conformal scattering theory for the linearized gravity fields on Schwarzschild spacetime

, 2020
We provide in this paper a first step to obtain the conformal scattering theory for the linearized gravity fields on the Schwarzschild spacetime by using the conformal geometric approach.
Xuan, Pham Truong
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