Results 41 to 50 of about 111 (107)

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

open access: yesAdvances 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 access: yesOpen 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   +2 more
doaj   +1 more source

A Note on the Stability and Instability of Travelling Wave of Korteweg-de Vries Type: The Periodic Case

open access: yesRevista 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

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

open access: yesOpen 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

On the weakly degenerate Allen-Cahn equation

open access: yesAdvances in Nonlinear Analysis, 2019
In this paper we consider a one-dimensional Allen-Cahn equation with degeneracy in the interior of the domain and Neumann boundary conditions. We allow the diffusivity coefficient vanish at some point of the space domain and we are addressed on the ...
Sônego Maicon
doaj   +1 more source

Boundedness and finite-time blow-up for the chemotaxis system with indirect signal production and flux limitation

open access: yesAdvances in Nonlinear Analysis
In this work, we consider a flux-limited chemotaxis model with indirect signal production and nonlinear diffusion,ut=∇⋅(D(u)∇u)−∇⋅(uf(|∇v|2)∇v)−k1u+k2w,x∈Ω,t>0,0=Δv−μ(t)+w,x∈Ω,t>0,wt=Δw−λ1w+λ2u,x∈Ω,t>0 $$\begin{cases}_{t}=\nabla \cdot \left(D\left(u ...
Tu Xinyu, Mu Chunlai, Minghua Zhang
doaj   +1 more source

Nonlinear dynamics of a fuel-price-sensitive traffic flow model with economic and behavioural adaptations

open access: yesPartial Differential Equations in Applied Mathematics
This paper presents a new macroscopic traffic flow model formulated as a system of nonlinear partial differential equations that incorporates fuel-price sensitivity and behavioural adaptation of drivers.
Gabriel Obed Fosu   +2 more
doaj   +1 more source

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