Results 301 to 310 of about 313,499 (335)
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1990
Abstract Reaction-diffusion equations form a class of differential equations which in recent years have seen great steps forward both in the understanding of their analytical structure and in their application to a wide variety of scientific phenomena.
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Abstract Reaction-diffusion equations form a class of differential equations which in recent years have seen great steps forward both in the understanding of their analytical structure and in their application to a wide variety of scientific phenomena.
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1992
The method of upper and lower solutions and its associated monotone iteration are introduced for both the time-dependent and the steady-state reaction diffusion equations. Based on the principle of conservation a derivation of the equations, including nonlinear boundary conditions, is given in the general framework of reaction diffusion systems.
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The method of upper and lower solutions and its associated monotone iteration are introduced for both the time-dependent and the steady-state reaction diffusion equations. Based on the principle of conservation a derivation of the equations, including nonlinear boundary conditions, is given in the general framework of reaction diffusion systems.
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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.
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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
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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 ...
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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 ...
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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 ...
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On the Solution of Reaction—Diffusion Equations
IMA Journal of Applied Mathematics, 1981openaire +1 more source