搜索结果: 1-15 共查到“Diffusion Equation”相关记录29条 . 查询时间(0.08 秒)
Air Pollution Steady-State Advection-Diffusion Equation: The General Three-Dimensional Solution
Advection-Diffusion Equation Analytical Solution Laplace Transform Air Pollution Modeling Atmospheric Boundary Layer Eulerian Models
2013/3/11
Atmospheric air pollution turbulent fluxes can be assumed to be proportional to the mean concentration gradient. This assumption, along with the equation of continuity, leads to the advection-diffusio...
A Second Order Finite Difference-Spectral Method for Space Fractional Diffusion Equation
A Second Order Finite Difference-Spectral Method Space Fractional Diffusion Equation
2012/8/7
A high order finite difference-spectral method is derived for solving space fractional diffusion equations, by combining the second order finite difference method in time and the spectral Galerkin met...
Homogenization of a stochastic nonlinear reaction-diffusion equation with a large reaction term: the almost periodic framework
Stochastic Homogenization Almost Periodic Stochastic Reaction-Diffusion Equations Wiener Process
2011/9/21
Abstract: Homogenization of a stochastic nonlinear reaction-diffusion equation with a large non- linear term is considered. Under a general Besicovitch almost periodicity assumption on the coefficient...
Existence and uniqueness of very singular solutions for a fast diffusion equation with gradient absorption
Very singular solution singular diffusion gradient absorption self-similar solutions p-Laplacian uniqueness
2011/8/26
Abstract: Existence and uniqueness of radially symmetric self-similar very singular solutions are proved for the singular diffusion equation with gradient absorption {equation*} \partial_t u -\Delta_{...
A diffusion equation for the density of the ratio of Gaussian variables and the numerical inversion of Laplace transform
parabolic equations random matrices kernel estimation
2011/3/21
It is shown that the density of the ratio of two Gaussian random variables with the same variance satisfies a non stationary diffusion equation. Implications of this result for kernel density estimati...
Global solutions to a non-local diffusion equation with quadratic non-linearity
Global solutions a non-local diffusion equation quadratic non-linearity
2011/1/21
In this paper we prove the global in time well-posedness of the following non-local diffusion equation with ∈ [0, 2/3):@tu = (−△)−1u △u + u2, u(t = 0) = u0.
Behaviour near extinction for the Fast Diffusion Equation on bounded domains
Nonlinear evolution singular parabolic fast di usion Harnack asymptotics
2011/1/18
We consider the Fast Di usion Equation ut = um posed in a bounded smooth domain
Rd with homogeneous Dirichlet conditions; the exponent range is ms = (d 2)+=(d + 2) < m < 1.It is known...
On the output stabilizability of the diffusion equation
Infinite dimensional systems controllability
2010/9/25
This note is devoted to study the output stabilizability of a simplified and a one-dimensional diffusion equation. Necessary and sufficient conditions for the system to be output stabilizable will be ...
A modified backward Euler scheme for the diffusion equation subject to purely integral conditions
Diffusion equation Modified backward Euler method
2010/9/25
In this paper, a modified backward Euler scheme is developped for obtaining approximate solution to the initial-boundary value problem for one-dimensional diffusion equation with purely integral condi...
Convergence of the Dirichlet solutions of the very fast diffusion equation
very fast diffusion equation Dirichlet problem
2011/2/21
For any −1 < m < 0, μ > 0, 0 ≤ u0 ∈ L∞(R) such that u0(x) ≤ (μ0|m||x|) 1 m for any |x| ≥ R0 and some constants R0 > 1 and 0 < μ0 ≤ μ, and f, g ∈C([0,∞)) such that f(t), g(t) ≥ μ0 on [0,∞) we pro...
Extinction profile of the logarithmic diffusion equation
logarithmic diffusion equation extinction profile asymptotic behaviour
2011/1/19
Let u be the solution of ut = log u in RN × (0, T ), N ≥ 3, with initial value u0 satisfying Bk1 (x, 0) ≤ u0 ≤ Bk2(x, 0) for some constants k1 > k2 > 0 where Bk(x, t) = 2(N − 2)(T −t)N/(N...
Asymptotic Limit of a Singularly Perturbed Stationary Diffusion Equation: The Case of a Limit Cycle
Diffusion Equation Limit Cycle
2010/11/23
A limit cycle for a nonlinear ordinary differential equation has a sustained, stationary oscillation in time; Any non-trivial stationary stochastic process also exhibits stationary oscillations in tim...
A finite volume method on general meshes for a degenerate parabolic convection-reaction-diffusion equation
parabolic convection-reaction-diffusion equation math
2010/11/23
We propose a finite volume method on general meshes for the discretization of a degenerate parabolic convection-reaction-diffusion equation. Equations of this type arise in many contexts, such as the ...
Comparison between Non-Gaussian Puff Model and a Model Based on a Time-Dependent Solution of Advection-Diffusion Equation
Advection-Diffusion Equation Air Pollution Modeling Analytical Solution Puff Models
2013/3/13
A comparison between a non-Gaussian puff model and an advanced time-dependent model to simulate the pollutant dispersion in the Planetary Boundary Layer is presented. The puff model is based on a gene...
On the stability of some exact solutions to the generalized convection-reaction-diffusion equation
convection-reaction-diffusion equation exact solutions
2010/4/21
Stability of a set of travelling wave solutions to the hyperbolic generalization of the convection-reaction-diffusion equation is studied by means of the qualitative methods and numerical simulation.