Results 61 to 70 of about 147 (113)

Traveling Waves in a SIRH Model with Spatio-Temporal Delay and Nonlocal Dispersal. [PDF]

Acta Math Sci, 2022
Yang L, Yang YR, Song X.
europepmc   +1 more source

Well-posedness of damped Kirchhoff-type wave equation with fractional Laplacian

Advanced Nonlinear Studies
In the present paper, we study the well-posedness of the solution to the initial boundary value problem for the damped Kirchhoff-type wave equation with fractional Laplacian.
Chen Shaohua, Han Jiangbo, Xu Runzhang, Yang Chao, Zhang Meina   +4 more
doaj   +1 more source

Qualitative properties of two-end solutions to the Allen–Cahn equation in R3 ${\mathbb{R}}^{3}$

Advanced Nonlinear Studies
A solution of the Allen–Cahn equation in R3 ${\mathbb{R}}^{3}$ is called a two-end solution if its nodal set is asymptotic to (x′,z)∈R3:z=ki⁡ln|x′|+ci,1≤i≤2 $\left\{\left({x}^{\prime },z\right)\in {\mathbb{R}}^{3}:z={k}_{i}\mathrm{ln}\vert {x}^{\prime }\
Liang Weizhao, Yang Jianmin
doaj   +1 more source

Qualitative properties of solutions to the viscoelastic beam equation with damping and logarithmic nonlinear source terms

Advances in Nonlinear Analysis
In this article, we consider the initial-boundary value problem for a class of viscoelastic extensible beam equations with logarithmic source term, strong damping term, and weak damping term.
Gao Yanchao, Pan Bingbai
doaj   +1 more source

The role of A β and Tau proteins in Alzheimer's disease: a mathematical model on graphs. [PDF]

J Math Biol, 2023
Bertsch M, Franchi B, Tesi MC, Tora V.
europepmc   +1 more source

F-actin bending facilitates net actomyosin contraction By inhibiting expansion with plus-end-located myosin motors. [PDF]

J Math Biol, 2022
Tam AKY, Mogilner A, Oelz DB.
europepmc   +1 more source

Phase transitions in porous media. [PDF]

Nonlinear Differ Equ Appl, 2022
Gavioli C, Krejčí P.
europepmc   +1 more source

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

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

Demonstratio 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

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

Advances 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