Results 71 to 80 of about 160 (121)

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

open access: yesAdvances 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

Qualitative properties of solutions to a class of fourth-order nonlinear parabolic equations modeling the epitaxial growth of thin films

open access: yesAdvances in Nonlinear Analysis
In this paper, we investigate the initial-boundary value problem for a class of fourth-order nonlinear parabolic equations modeling the epitaxial growth of thin films.
Duojie Cairang, Liu Yang, Long Xiao
doaj   +1 more source

Variations in the geometry of the basins of escape in a modified Hénon–Heiles potential

open access: yesDemonstratio Mathematica
In this article, we show how the curves that limit the basins of escape in a version of a Hénon–Heiles potential with a singularity at the origin evolve with the energy.
Navarro Juan F.
doaj   +1 more source

On a generalized Stokes problem

open access: yesOpen Mathematics, 2011
Mácha Václav
doaj   +1 more source

Global solutions for an extended macroscopic model for traffic flow

open access: yesAdvanced Nonlinear Studies
In this short paper, we are concerned with a nonlinear hyperbolic conservation system of three equations, which is an extended macroscopic model for traffic flow.
Chen Jianjun   +4 more
doaj   +1 more source

A linear condition determining local or global existence for nonlinear problems

open access: yesOpen Mathematics, 2013
Neuberger John   +2 more
doaj   +1 more source

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