Results 51 to 60 of about 85 (85)

Concentration with a single sign-changing layer at the higher critical exponents

Advances in Nonlinear Analysis, 2018
We exhibit a new concentration phenomenon for the supercritical ...
Clapp Mónica, Faya Jorge
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Existence and nonexistence results for a class of pseudo-parabolic equations with combined logarithmic nonlinearities

Advanced Nonlinear Studies
In this paper, we study the existence and nonexistence results for a class of pseudo-parabolic equations with combined logarithmic nonlinearities γ| u|p-2 u log   |u| + u log  |u|, where γ > 0 and p > 2 satisfy certain conditions.
Zhang Wei, Zhang Jialing
doaj   +1 more source

On blow-up for the supercritical defocusing nonlinear wave equation

Forum of Mathematics, Pi
In this paper, we consider the defocusing nonlinear wave equation $-\partial _t^2u+\Delta u=|u|^{p-1}u$ in $\mathbb {R}\times \mathbb {R}^d$ .
Feng Shao, Dongyi Wei, Zhifei Zhang
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Chemotaxis-consumption system with Robin boundary conditions coupled to the (Navier–)Stokes equations

Advances in Nonlinear Analysis
In this paper, we consider the chemotaxis-consumption system on a bounded smooth domain Ω⊂Rn,n=2,3 ${\Omega}\subset {\mathbb{R}}^{n},n=2,3$ , with fluid ...
Kim Dongkwang, Ahn Jaewook
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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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Boundedness and finite-time blow-up for the chemotaxis system with indirect signal production and flux limitation

Advances in Nonlinear Analysis
In this work, we consider a flux-limited chemotaxis model with indirect signal production and nonlinear diffusion,ut=∇⋅(D(u)∇u)−∇⋅(uf(|∇v|2)∇v)−k1u+k2w,x∈Ω,t>0,0=Δv−μ(t)+w,x∈Ω,t>0,wt=Δw−λ1w+λ2u,x∈Ω,t>0 $$\begin{cases}_{t}=\nabla \cdot \left(D\left(u ...
Tu Xinyu, Mu Chunlai, Minghua Zhang
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Coupled Versus Uncoupled Blow-Up Rates in Cooperative n-Species Logistic Systems

Advanced Nonlinear Studies, 2017
This paper ascertains the exact boundary blow-up rates of the large positive solutions of a class of cooperative logistic systems involving n species in a general domain of ℝN{\mathbb{R}^{N}} of class 𝒞2+ν{\mathcal{C}^{2+\nu ...
López-Gómez Julián, Maire Luis
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Cauchy problem for a generalized weakly dissipative periodic two-component Camassa-Holm system

Electronic Journal of Differential Equations, 2014
In this article, we study a generalized weakly dissipative periodic two-component Camassa-Holm system. We show that this system can exhibit the wave-breaking phenomenon and determine the exact blow-up rate of strong solution to the system. In addition,
Wenxia Chen, Lixin Tian, Xiaoyan Deng
doaj  

Global dynamics for the generalised chemotaxis-Navier–Stokes system in $\mathbb{R}^3$

European Journal of Applied Mathematics
We consider the chemotaxis-Navier–Stokes system with generalised fluid dissipation in $\mathbb{R}^3$ : \begin{eqnarray*} \begin{cases} \partial _t n+u\cdot \nabla n=\Delta n- \nabla \cdot (\chi (c)n \nabla c),\\[5pt] \partial _t c+u \cdot \nabla
Qingyou He, Ling-Yun Shou, Leyun Wu
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A class of fourth-order parabolic equation with logarithmic nonlinearity. [PDF]

J Inequal Appl, 2018
Li P, Liu C.
europepmc   +1 more source