Results 41 to 50 of about 126 (121)

Stability of solitary-wave solutions of coupled NLS equations with power-type nonlinearities

Advances in Nonlinear Analysis, 2015
This paper proves existence and stability of solitary-wave solutions of a system of 2-coupled nonlinear Schrödinger equations with power-type nonlinearities arising in several models of modern physics. The existence of vector solitary-wave solutions (i.e.
Bhattarai Santosh
doaj   +1 more source

Boundedness and global stability in a predator-prey chemotaxis system with indirect pursuit-evasion interaction and nonlocal kinetics

Advances in Nonlinear Analysis
This article deals with a predator-prey chemotaxis system with indirect pursuit-evasion interaction and nonlocal kinetics ut=Δu−χ∇⋅(u∇w)+uλ1−μ1ur1−1+av+a1∫Ωudx+a2∫Ωvdx,x∈Ω,t>0,vt=Δv+ξ∇⋅(v∇z)+vλ2−μ2vr2−1−bu+b1∫Ωudx+b2∫Ωvdx,x∈Ω,t>0,τwt=Δw−w+v,x∈Ω,t>0,τzt ...
Jiao Zhan, Jadlovská Irena, Li Tongxing
doaj   +1 more source

Front instability in a condensed phase combustion model

Advances in Nonlinear Analysis, 2015
We consider a condensed phase (or solid) combustion model and its linearization around the travelling front solution. We construct an Evans function to characterize the eigenvalues of the linearized problem.
Bonnet Alexis, Dkhil Fathi, Logak Elisabeth   +2 more
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
doaj   +1 more source

Existence and general stabilization of the Timoshenko system of thermo-viscoelasticity of type III with frictional damping and delay terms

Advances in Nonlinear Analysis, 2018
In this paper, we consider the following Timoshenko system of thermo-viscoelasticity of type III with frictional damping and delay terms:
Chen Miaomiao, Liu Wenjun, Zhou Weican
doaj   +1 more source

Convergence of Infintesimal Generators and Stability of Convex Montone Semigroups

, 2023
Blessing J, Kupper M, Nendel M. Convergence of Infintesimal Generators and Stability of Convex Montone Semigroups. Center for Mathematical Economics Working Papers. Vol 680.
Blessing, Jonas, Kupper, Michael, Nendel, Max   +2 more
core  

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

The ill-posedness of the (non-)periodic traveling wave solution for the deformed continuous Heisenberg spin equation

Open Mathematics
Based on an equivalent derivative non-linear Schrödinger equation, we derive some periodic and non-periodic two-parameter solutions of the deformed continuous Heisenberg spin (DCHS) equation.
Zhong Penghong, Chen Xingfa, Chen Ye
doaj   +1 more source