Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Conlon, Joseph G."'
Autor:
Conlon, Joseph G., Dabkowski, Michael
This paper is concerned with large time behavior of the solution to a diffusive perturbation of the linear LSW model introduced by Carr and Penrose. Like the LSW model, the Carr-Penrose model has a family of rapidly decreasing self-similar solutions,
Externí odkaz:
http://arxiv.org/abs/2202.13988
Autor:
Conlon, Joseph G., Dabkowski, Michael
This paper is concerned with the study of Green's functions for one dimensional diffusions with constant diffusion coefficient and linear time inhomogeneous drift. It is well know that the whole line Green's function is given by a Gaussian. Formulas
Externí odkaz:
http://arxiv.org/abs/2103.03929
Autor:
Conlon, Joseph G., Dabkowski, Michael
The main result of the paper is a global asymptotic stability result for solutions to the Lifschitz-Slyozov-Wagner (LSW) system of equations. This extends some local asymptotic stability results of Niethammer-Vel\'{a}zquez (2006). The method of proof
Externí odkaz:
http://arxiv.org/abs/1810.09196
Autor:
Conlon, Joseph G., Schlichting, André
Publikováno v:
Discrete & Continuous Dynamical Systems - A, 2019, 39 (4) : 1821-1889
This paper concerns a Fokker-Planck equation on the positive real line modeling nucleation and growth of clusters. The main feature of the equation is the dependence of the driving vector field and boundary condition on a non-local order parameter re
Externí odkaz:
http://arxiv.org/abs/1711.00782
Autor:
Conlon, Joseph G., Dabkowski, Michael
This paper is concerned with establishing global asymptotic stability results for a class of non-linear PDE which have some similarity to the PDE of the Lifschitz-Slyozov-Wagner model. The method of proof does not involve a Lyapounov function. It is
Externí odkaz:
http://arxiv.org/abs/1709.07737
We prove that for an open domain $D \subset \mathbb{R}^d $ with $d \geq 2 $ , for every (measurable) uniformly elliptic tensor field $a$ and for almost every point $y \in D$ , there exists a unique Green's function centred in $ y $ associated to the
Externí odkaz:
http://arxiv.org/abs/1602.05625
This paper is concerned with the study of a diffusive perturbation of the linear LSW model introduced by Carr and Penrose. A main subject of interest is to understand how the presence of diffusion acts as a selection principle, which singles out a pa
Externí odkaz:
http://arxiv.org/abs/1411.2007
Autor:
Conlon, Joseph G., Fahim, Arash
This paper is concerned with the study of solutions to discrete parabolic equations in divergence form with random coefficients, and their convergence to solutions of a homogenized equation. In [11] rate of convergence results in homogenization and e
Externí odkaz:
http://arxiv.org/abs/1305.0837
Autor:
Conlon, Joseph G., Fahim, Arash
Consider a discrete uniformly elliptic divergence form equation on the $d$ dimensional lattice $\Z^d$ with random coefficients. In [3] rate of convergence results in homogenization and estimates on the difference between the averaged Green's function
Externí odkaz:
http://arxiv.org/abs/1207.6077
Autor:
Conlon, Joseph G., Fahim, Arash
This paper is concerned with the study of solutions to discrete parabolic equations in divergence form with random coefficients, and their convergence to solutions of a homogenized equation. It has previously been shown that if the random environment
Externí odkaz:
http://arxiv.org/abs/1203.5345