Results 201 to 210 of about 1,252,466 (233)

A Nonlocal Convection–Diffusion Equation

Journal of Functional Analysis, 2007
En este trabajo estudiamos una ecuación no local que tiene en cuenta los efectos convectivos y difusivos, ut=J∗u−u+G∗(f(u))−f(u) en Rd, siendo J radialmente simétrica y G no necesariamente simétrica. Primero, probamos la existencia, la singularidad y la dependencia continua con respecto a la condición inicial de las soluciones.
Julio D Rossi, Liviu I Ignat
exaly   +4 more sources

Nonlocal Diffusion and Applications [PDF]

Lecture Notes of the Unione Matematica Italiana, 2016
Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrödinger equations are given.
Enrico Valdinoci, Claudia Bucur
exaly   +4 more sources

Quasi-Nonlocal Coupling of Nonlocal Diffusions [PDF]

SIAM Journal on Numerical Analysis, 2017
We developed a new self-adjoint, consistent, and stable coupling strategy for nonlocal diffusion models, inspired by the quasi-nonlocal atomistic-to-continuum method for crystalline solids. The proposed coupling model is coercive with respect to the energy norms induced by the nonlocal diffusion kernels as well as the $L^2$ norm, and it satisfies the ...
Jianfeng Lu, Xingjie Helen Li
exaly   +4 more sources

Asymptotic Behaviour of Some Nonlocal Diffusion Problems [PDF]

Applicable Analysis, 2001
We deal with a parabolic equation having a diffusion coefficient depending on a nonlocal quantity. We investigate the convergence of the solution towards a steady state, extending previous results obtained by [M. Chipot and B. Lovat (1999).
Michel Chipot
exaly   +2 more sources

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Nonlocal Turbulent Diffusion Models

Journal of Mathematical Sciences, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

A multifidelity method for a nonlocal diffusion model

Applied Mathematics Letters, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Parisa Khodabakhshi, Karen E. Willcox, Max D. Gunzburger   +2 more
openaire   +1 more source

Nonlocality of relative diffusion

Journal of Experimental and Theoretical Physics, 1997
On the basis of numerical modeling, the hypothesis of the nonlocal character of Richardson relative diffusion is tested and confirmed.
O. V. Tel’kovskaya, K. V. Chukbar
openaire   +1 more source

Wave Propagation in a Nonlocal Diffusion Epidemic Model With Nonlocal Delayed Effects

Applied Mathematics and Computation, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jingdong Wei, Jiangbo Zhou, Zaili Zhen
exaly   +3 more sources

Nonlocal reaction—diffusion equations and nucleation

IMA Journal of Applied Mathematics, 1992
Summary: A nonlocal reaction-diffusion equation is presented and analysed using matched asymptotic expansions and multiple timescales. The problem models a binary mixture undergoing phase separation. The particular form of the equation is motivated by arguments from the calculus of variations, with the nonlocality arising from an enforcement of ...
Rubinstein, Jacob, Sternberg, Peter
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On the Diffusive Nicholson’s Blowflies Equation with Nonlocal Delay

Journal of Nonlinear Science, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wan-Tong Li, Shigui Ruan, Zhi-Cheng Wang
openaire   +3 more sources