Results 61 to 70 of about 1,195 (85)

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

Global existence results for nonlinear Schrodinger equations with quadratic potentials [PDF]

, 2004
We prove that no finite time blow up can occur for nonlinear Schroedinger equations with quadratic potentials, provided that the potential has a sufficiently strong repulsive component.
Umr Cnrs, Universite ́ Bordeaux
core   +3 more sources

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

On the weakly degenerate Allen-Cahn equation

Advances 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

Stability of pyramidal traveling fronts in time-periodic reaction–diffusion equations with degenerate monostable and ignition nonlinearities

Advances in Nonlinear Analysis
This article is concerned with the stability of time-periodic traveling fronts for reaction–diffusion equations with time-periodic degenerate monostable and ignition nonlinearities.
Liu Yuan-Hao, Bu Zhen-Hui, Zhang Suobing
doaj   +1 more source

A heterogeneous continuous age-structured model of mumps with vaccine

Infectious Disease Modelling
In classical mumps models, individuals are generally assumed to be uniformly mixed (homogeneous), ignoring population heterogeneity (preference, activity, etc.). Age is the key to catching mixed patterns in developing mathematical models for mumps.
Nurbek Azimaqin, Yingke Li, Xianning Liu
doaj   +1 more source

Superlensing using complementary media and reflecting complementary media for electromagnetic waves

Advances in Nonlinear Analysis, 2018
In this paper, we present the proof of superlensing an arbitrary object using complementary media and we study reflecting complementary media for electromagnetic waves. The analysis is based on the reflecting technique and new results on the compactness,
Nguyen Hoai-Minh
doaj   +1 more source

Stability and attractivity for a class of dissipative phenomena

, 2001
We consider initial-boundary-value problems for a class of nonlinear third order equations having non-autonomous forcing terms and get new asymptotic stability results by means of the Liapunov second method.
D'Anna, Armando, Fiore, Gaetano
core  

Boundedness and long-time behavior in a parabolic-elliptic system arising from biological transport networks

Advances in Nonlinear Analysis
The aim of this article is to consider a three-dimensional Cauchy problem for the parabolic-elliptic system arising from biological transport networks. For such problem, we first establish the global existence, uniqueness, and uniform boundedness of the ...
Li Bin
doaj   +1 more source

Interior Estimates for Generalized Forchheimer Flows of Slightly Compressible Fluids

Advanced Nonlinear Studies, 2017
The generalized Forchheimer flows are studied for slightly compressible fluids in porous media with time-dependent Dirichlet boundary data for the pressure. No restrictions are imposed on the degree of the Forchheimer polynomial. We derive, for all time,
Hoang Luan T., Kieu Thinh T.
doaj   +1 more source