Results 51 to 60 of about 688 (61)

The initial-value problem for a Gardner-type equation

Advanced Nonlinear Studies
Discussed here is a regularized version(0.1)ut+ux+uux+Au2ux−uxxt=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}-{u}_{\mathit{xxt}}=0,$$ of the classical Gardner equationut+ux+uux+Au2ux+uxxx=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}+{u}_{\mathit{xxx ...
Bona Jerry, Chen Hongqiu, Guerrero Pamela, Haidau Cristina, Pantic Sanja   +4 more
doaj   +1 more source

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
doaj   +1 more source

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  

Nonlinear Convection in Reaction-diffusion Equations under dynamical boundary conditions

, 2012
We investigate blow-up phenomena for positive solutions of nonlinear reaction-diffusion equations including a nonlinear convection term $\partial_t u = \Delta u - g(u) \cdot \nabla u + f(u)$ in a bounded domain of $\mathbb{R}^N$ under the dissipative ...
Mailly, Gaëlle Pincet, Rault, Jean-François   +1 more
core   +1 more source

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
doaj   +1 more source

A critical non-homogeneous heat equation with weighted source

European Journal of Applied Mathematics
Some qualitative properties of radially symmetric solutions to the non-homogeneous heat equation with critical density and weighted source \begin{align*} |x|^{-2}\partial _tu=\Delta u+|x|^{\sigma }u^p, \quad (x,t)\in {\mathbb {R}}^N\times (0,T), \end ...
Razvan Gabriel Iagar, Ariel Sánchez
doaj   +1 more source

A class of fourth-order parabolic equation with logarithmic nonlinearity. [PDF]

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

Perturbational blowup solutions to the compressible Euler equations with damping. [PDF]

Springerplus, 2016
Cheung KL.
europepmc   +1 more source

Critical cytoplasmic domains of the common beta subunit of the human GM-CSF, IL-3 and IL-5 receptors for growth signal transduction and tyrosine phosphorylation. [PDF]

EMBO J, 1992
Sakamaki K, Miyajima I, Kitamura T, Miyajima A.   +3 more
europepmc   +1 more source

Numerical investigation of a new class of waves in an open nonlinear heat-conducting medium

Open Mathematics, 2013
Dimova Milena, Dimova Stefka, Vasileva Daniela   +2 more
doaj   +1 more source