Zobrazeno 1 - 10
of 90
pro vyhledávání: '"Kavallaris, Nikos I."'
In this paper, we study a stochastic parabolic problem involving a nonlocal diffusion operator associated with nonlocal Robin-type boundary conditions. The stochastic dynamics under consideration are driven by a mixture of a classical Brownian and a
Externí odkaz:
http://arxiv.org/abs/2305.05946
Autor:
Kavallaris, Nikos I., Suzuki, Takashi
We study the problem of convergence of the normalized Ricci flow evolving on a compact manifold $\Omega$ without boundary. In \cite{KS10, KS15} we derived, via PDE techniques, global-in-time existence of the classical solution and pre-compactness of
Externí odkaz:
http://arxiv.org/abs/2101.05554
In the current work we study a stochastic parabolic problem. The underlying problem is actually motivated by the study of an idealized electrically actuated MEMS (Micro-Electro-Mechanical System) device in the case of random fluctuations of the poten
Externí odkaz:
http://arxiv.org/abs/2012.10922
In the current paper, we provide a thorough investigation of the blowing up behaviour induced via diffusion of the solution of the following non local problem \begin{equation*} \left\{\begin{array}{rcl} \partial_t u &=& \Delta u - u + \displaystyle{\
Externí odkaz:
http://arxiv.org/abs/2010.09867
In the current work we study a nonlocal parabolic problem with Robin boundary conditions. The problem arises from the study of an idealized electrically actuated MEMS (Micro-Electro-Mechanical System) device. Initially we study the steady-state probl
Externí odkaz:
http://arxiv.org/abs/1906.12093
The purpose of the current paper is to unveil the key mechanism which is responsible for the occurrence of {\it Turing-type instability} for a non-local Fisher-KPP type model. In particular, we prove that the solution of the considered non-local Fish
Externí odkaz:
http://arxiv.org/abs/1905.05495
The main purpose of the current paper is to contribute towards the comprehension of the dynamics of the shadow system of a singular Gierer-Meinhardt model on an isotropically evolving domain. In the case where the inhibitor's response to the activato
Externí odkaz:
http://arxiv.org/abs/1903.10051
We introduce a multi-species chemotaxis type system admitting an arbitrarily large number of population species, all of which are attracted vs. repelled by a single chemical substance. The production vs. destruction rates of the chemotactic substance
Externí odkaz:
http://arxiv.org/abs/1703.01636
Autor:
Kavallaris, Nikos I., Suzuki, Takashi
The purpose of the current paper is to contribute to the comprehension of the dynamics of the shadow system of an activator-inhibitor system known as a Gierer-Meinhardt model. Shadow systems are intended to work as an intermediate step between single
Externí odkaz:
http://arxiv.org/abs/1605.04083