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We consider the evolution of a connected set in Euclidean space
carried by a periodic incompressible stochastic
ow. While for almost every
realization of the random
ow at time t most of the part...
A Limit Shape Theorem for Periodic Stochastic Dispersion
Periodic Stochastic Dispersion Shape
2015/9/29
We consider the evolution of a connected set on the plane carried by a space
periodic incompressible stochastic flow. While for almost every realization of
the stochastic flow at time t ...
A Limit Shape Theorem for Periodic Stochastic Dispersion
Space is periodic random flow order and an infinite linear speed
2015/9/28
We consider the evolution of a connected set on the plane carried by a space periodic incompressible stochastic flow. While for almost every realization of the stochastic flow at time t mo...
Moderate dispersion in scalar conservation laws
Travelling waves moderate dispersion Korteweg de Vries equation entropy solutions dissipative-dispersive scalar conservation laws
2015/7/14
We consider the weakly dissipative and weakly dispersive Burgers-Hopf-Korteweg-de-Vries equation with the diffusion coefficient ε and the dispersion rate δ in the range δ/ε → 0. We study thetravelling...
The Existence of MLE in Location and Dispersion Effects Models with Censored Data
MLE in Location and Dispersion Effects Models Censored Data
2015/3/20
The Existence of MLE in Location and Dispersion Effects Models with Censored Data.
On the lack of dispersion for a class of magnetic Dirac flows
Dirac equation Strichartz estimates dispersive equations magnetic potential
2011/8/25
Abstract: We show that global Strichartz estimates for magnetic Dirac operators generally fails, if the potentials do not decay fast enough at in?nity. In order to prove this, we construct some explic...
Eigenfunctions and Very Singular Similarity Solutions of Odd-Order Nonlinear Dispersion PDEs
Eigenfunctions Very Singular Similarity Solutions Odd-Order Nonlinear Dispersion PDEs
2010/11/11
Asymptotic properties of solutions of odd-order nonlinear dispersion equations are studied. The global in time similarity solutions, which lead to eigenfunctions of the rescaled ODEs, are constructed....
Exponential decay of dispersion managed solitons for vanishing average dispersion
Gabitov-Turitsyn equation dispersion managed NLS exponential decay
2010/12/8
We show that any L2 solution of the Gabitov-Turitsyn equation de-scribing dispersion managed solitons decay exponentially in space and frequency domains. This confirms in the affirmative Lushnikov’s c...
Occupation and Local Times for Skew Brownian Motion with Applications to Dispersion Across an Interface
Skew Brownian motion advection-diffusion local time
2010/12/14
Advective skew dispersion is a natural Markov process defined by a diffusion with drift across an interface of jump discontinuity in a piecewise constant diffusion coefficient.
Ergodic properties of a model for turbulent dispersion of inertial particles
Ergodic properties model for turbulent dispersion of inertial particles
2010/11/30
We study a simple stochastic differential equation that models the dispersion of close heavy
particles moving in a turbulent flow. In one and two dimensions, the model is closely related to the onedi...
Comments on: "Optical solitons in a parabolic law media with fourth order dispersion"[Appl. Math. Comput. 208(2009)209-302]
Optical solitons parabolic law media fourth order dispersion
2010/4/6
Biswas and Milovic[Appl. Math. Comput.208(2009)209-302] have found the optical one-soliton solutions of a fourth order dispersive cubic-quintic nonlinear Schr\"odinger equation. In this comment, we fi...
The Nikolaevskiy equation was originally proposed as a model for seismic waves and is also a model for a wide variety of systems incorporating a neutral, Goldstone mode, including electroconvection an...
On the zero-dispersion limit of the Benjamin-Ono Cauchy problem for positive initial data
zero-dispersion limit initial data Benjamin-Ono Cauchy
2010/4/2
We study the Cauchy initial-value problem for the Benjamin-Ono equation in the zero-disperion limit, and we establish the existence of this limit in a certain weak sense by developing an appropriate a...
Dispersion and collapse in stochastic velocity fields on a cylinder
Turbulence Lagrangian trajectories Kraichnan ensemble Cylindrical manifolds
2010/4/7
The dynamics of fluid particles on cylindrical manifolds is investigated. The velocity field is obtained by generalizing the isotropic Kraichnan ensemble, and is therefore Gaussian and decorrelated in...
Solving one-dimensional advection-dispersion with reaction using some finite-difference methods
Advection Dispersion Finite-difference
2010/9/14
In this paper we have solved the one-dimensional advection-dispersion equation with reaction using some finite-difference methods, namely, FTCS used by B.Ataie-Ashtiani et al. (1996), (we call it FTCS...