Results 231 to 240 of about 105,458 (263)
Some of the next articles are maybe not open access.
2004
We shall consider here a stochastic heat equation pertubed by a polynomial term off odd degree d > 1 having negative leading coefficient (this will ensure non-explosion). We can represent this polynomial as \(\begin{array}{*{20}{c}} {\lambda \xi - p(\xi ),} & {\xi \in \mathbb{R},} \\ \end{array}\) where λ ∈ ℝ and p is an increasing polynomial, that is ...
openaire +1 more source
We shall consider here a stochastic heat equation pertubed by a polynomial term off odd degree d > 1 having negative leading coefficient (this will ensure non-explosion). We can represent this polynomial as \(\begin{array}{*{20}{c}} {\lambda \xi - p(\xi ),} & {\xi \in \mathbb{R},} \\ \end{array}\) where λ ∈ ℝ and p is an increasing polynomial, that is ...
openaire +1 more source
Periodic Solutions to Reaction-Diffusion Equations
SIAM Journal on Applied Mathematics, 1976In this note we derive asymptotic formulas for rotating-spiral and axisymmetric, time-periodic solutions to reaction-diffusion systems.
openaire +2 more sources
Adaptive FEM for reaction—diffusion equations
Applied Numerical Mathematics, 1998In the first part of the paper the author shortly presents some methods for solving mixed systems of nonlinear parabolic and elliptic differential equations. Especially a short comparison between the adaptive method of lines and Rothe's approach is presented. Then the author describes the time integrator and the finite element method (FEM) derived from
openaire +2 more sources
Travelling Waves for Reaction Diffusion Equations
Journal of Partial Differential Equations, 1997The paper deals with the travelling wave solution \(u(x,t)=u(x+kt)\) \((k>0)\) of the reaction diffusion equation: \[ u_t=u_{xx}+f(x),\quad u(+\infty)=H\quad\text{and }u(-\infty)=0\quad\text{for some }H>0, \] where the nonlinear term \(f(u)\) is assumed to be Lipschitz continuous and to satisfy \(f(0)=f(H)=0\) and \(\int^H_0f(s)ds>0\).
openaire +2 more sources
On the Existence of Pulses in Reaction- Diffusion- Equations
Results in Mathematics, 1992The author applies the theory of invariant manifolds for singularly perturbed ordinary differential equations and results about the persistence of homoclinic orbits in autonomous differential systems with several parameters in order to establish the existence of pulses in reaction-diffusion systems. Essential assumptions for the existence of pulses are
openaire +1 more source
Reaction - diffusion equations in perforated media
Nonlinearity, 1997The author considers the problem \[ {\partial\over\partial t} u(t,x)= {1\over 2} \sum^r_{i,j= 1} a_{ij}(x){\partial^2\over \partial x_i\partial x_j} u(t,x)+ \sum^r_{i= 1} b_i(x){\partial\over\partial x_i} u(t,x),\;t\in (0,\infty),\;x\in D= \mathbb{R}^r\setminus \bigcup^\infty_{i= 1} H_i, \] \[ {\partial u\over\partial n}+ f(x,u)= 0,\;x\in\bigcup ...
openaire +2 more sources
Blow-up phenomena for a reaction diffusion equation with special diffusion process
Applicable Analysis, 2022Yuzhu Han
exaly
Indirect control to stabilise reaction–diffusion equation
International Journal of Control, 2021Yuanchao Si, Chengkang Xie
exaly
On the Solution of Reaction—Diffusion Equations
IMA Journal of Applied Mathematics, 1981openaire +1 more source
“Strange term” in homogenization of attractors of reaction–diffusion equation in perforated domain
Chaos, Solitons and Fractals, 2020Kuanysh A Bekmaganbetov +2 more
exaly