Results 51 to 60 of about 136 (127)

A CONTINUOUS INTERPOLATION BETWEEN CONSERVATIVE AND DISSIPATIVE SOLUTIONS FOR THE TWO-COMPONENT CAMASSA–HOLM SYSTEM

Forum of Mathematics, Sigma, 2015
We introduce a novel solution concept, denoted ${\it\alpha}$-dissipative solutions, that provides a continuous interpolation between conservative and dissipative solutions of the Cauchy problem for the two-component Camassa–Holm system on the line with ...
KATRIN GRUNERT, HELGE HOLDEN, XAVIER RAYNAUD   +2 more
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A differential inequality, an invariant set and the blow-up of high-energy solutions of a quasilinear riser equation

Advances in Nonlinear Analysis
We consider a damped quasilinear equation of fourth order that models the mechanical vibrations of a marine riser. We study the nonexistence of global solutions, for any positive value of the initial energy. For this purpose we analyze a new differential
Esquivel-Avila Jorge A.
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Stationary flows for viscous heat-conductive fluid in a perturbed half-space

Advances in Nonlinear Analysis
We consider the nonisentropic compressible Navier–Stokes equation in a perturbed half-space with an outflow boundary condition as well as the supersonic condition.
Li Mingjie, Suzuki Masahiro, Zhang Katherine Zhiyuan   +2 more
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Effects of anisotropic diffusion in a two-dimensional unstirred chemostat

Advanced Nonlinear Studies
We investigate an unstirred chemostat model in which two species compete in a two-dimensional environment. The populations are assumed to disperse anisotropically, with distinct probabilities assigned to horizontal and vertical movements, which are ...
Yu Hongqiang, Wu Jianhua
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Strong instability of standing waves for the Hartree equation with a constant magnetic field

Advances in Nonlinear Analysis
In this paper, we study the strong instability of standing waves for the Hartree equation with a constant magnetic field. First, we prove the existence of least action ground states for the associated stationary equation using variational methods. Second,
Mao Weifeng, Zhang Jian
doaj   +1 more source

A memory-type thermoelastic laminated beam with structural damping and microtemperature effects: Well-posedness and general decay

Demonstratio Mathematica
In previous work, Fayssal considered a thermoelastic laminated beam with structural damping, where the heat conduction is given by the classical Fourier’s law and acting on both the rotation angle and the transverse displacements established an ...
Derguine Mustafa, Yazid Fares, Boulaaras Salah Mahmoud   +2 more
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Dynamical properties of single species stage structured model with Michaelis-Menten type harvesting on adult population and linear harvesting on juvenile population. [PDF]

Heliyon, 2023
Akter S, Islam MS, Hossain T.
europepmc   +1 more source

Orbital stability of the trains of peaked solitary waves for the modified Camassa-Holm-Novikov equation

Advances in Nonlinear Analysis
Consideration herein is the stability issue of peaked solitary wave solution for the modified Camassa-Holm-Novikov equation, which is derived from the shallow water theory.
Luo Ting
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Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three

Open Mathematics
In this article, we study the Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three, of hyperbolic type, using Bielecki norm.
Marian Daniela, Ciplea Sorina Anamaria, Lungu Nicolaie   +2 more
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A Note on the Stability and Instability of Travelling Wave of Korteweg-de Vries Type: The Periodic Case

Revista de Ciencias, 2010
In this paper we adapt the work of M. Grillakis, J. Shatah, and W. Strauss, or J. Bona, P. Souganidis and W. Strauss to the periodic case in spaces having the mean zero property in order to establish the orbital stability/instability of periodic ...
José R Quintero
doaj   +1 more source