Results 61 to 70 of about 1,137 (102)

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

Uniform energy decay for wave equations with unbounded damping coefficients

open access: yes, 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
core  

Strong instability of standing waves for the Hartree equation with a constant magnetic field

open access: yesAdvances 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

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

Stability of equilibrium solutions of a double power reaction diffusion equation with a Dirac interaction

open access: yes, 1998
In this paper we provide detailed information about the instability of equilibrium solutions of a nonlinear family of localized reaction-difussion equations in dimensione one.
Lancheros, Edgar Yesid Mayorga   +1 more
core  

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