Results 51 to 60 of about 129 (99)

Global existence, asymptotic behavior, and finite time blow up of solutions for a class of generalized thermoelastic system with p-Laplacian

Advances in Nonlinear Analysis
In this work, we examine the initial boundary value problem for the thermoelastic system with pp-Laplacian, subject to a novel nonlinearity condition within a bounded domain.
Chen Yuxuan
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On a nonlinear Robin problem with an absorption term on the boundary and L1 data

Advances in Nonlinear Analysis
We deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della, Oliva Francescantonio, León Sergio Segura de   +2 more
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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
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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

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
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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
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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
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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