Results 61 to 70 of about 136 (109)

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

Euler-α equations in a three-dimensional bounded domain with Dirichlet boundary conditions

Open Mathematics
In this article, we investigate the Euler-α\alpha equations in a three-dimensional bounded domain. On the one hand, we prove in the Euler setting that the equations are locally well-posed with initial data in Hs(s≥3){H}^{s}\left(s\ge 3).
Yuan Shaoliang, Huang Lehui, Cheng Lin, You Xiaoguang   +3 more
doaj   +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

Dynamics of the non-radial energy-critical inhomogeneous NLS

We consider the focusing inhomogeneous nonlinear Schr\"odinger equation \[ i\partial_t u + \Delta u + |x|^{-b}|u|^\alpha u = 0\qtq{on}\R\times\R^N, \] with $\alpha=\tfrac{4-2b}{N-2}$, $N=\{3,4,5\}$ and ...
Xu, Chenbgin, Guzmán, Carlos M.
core  

Suppression of blow-up in Patlak–Keller–Segel–Navier–Stokes system via the Couette flow in whole space

Advances in Nonlinear Analysis
This paper studies the two-dimensional Patlak–Keller–Segel–Navier–Stokes (PKS–NS) system in R2 ${\mathbb{R}}^{2}$ near the Couette flow (Ay, 0). Using the Green’s function method, we first derive enhanced dissipation estimates for the linearized system ...
Wang Gaofeng, Wang Weike, Wu Tianfang
doaj   +1 more source

Effects of anisotropic diffusion in a two-dimensional unstirred chemostat

Advanced Nonlinear Studies
We investigate an unstirred chemostat model in which two species compete in a two-dimensional environment. The populations are assumed to disperse anisotropically, with distinct probabilities assigned to horizontal and vertical movements, which are ...
Yu Hongqiang, Wu Jianhua
doaj   +1 more source

Local existence and finite time blow-up of solutions for a viscoelastic Kirchhoff-like plate equation with logarithmic source term

Advances in Nonlinear Analysis
In this paper, we study the initial-boundary value problem for a viscoelastic Kirchhoff-like plate equation with logarithmic source term. Based on the contraction mapping principle, we prove the local existence and uniqueness of solutions.
Li Junfeng, Liu Yang, Mu Jia, Zhang Shengui   +3 more
doaj   +1 more source

Infinitely many solutions for Hamiltonian system with critical growth

Advances in Nonlinear Analysis
In this article, we consider the following elliptic system of Hamiltonian-type on a bounded domain:−Δu=K1(∣y∣)∣v∣p−1v,inB1(0),−Δv=K2(∣y∣)∣u∣q−1u,inB1(0),u=v=0on∂B1(0),\left\{\begin{array}{ll}-\Delta u={K}_{1}\left(| y| ){| v| }^{p-1}v,\hspace{1.0em ...
Guo Yuxia, Hu Yichen
doaj   +1 more source

On a generalized Stokes problem

Open Mathematics, 2011
Mácha Václav
doaj   +1 more source