Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Ibraguimov, A."'
Our Recent advancements in stochastic processes have illuminated a paradox associated with the Einstein model of Brownian motion. The model predicts an infinite propagation speed, conflicting with the second law of thermodynamics. The modified model
Externí odkaz:
http://arxiv.org/abs/2312.10682
We consider sewing machinery between finite difference and analytical solutions defined at different scales: far away and near the source of the perturbation of the flow. One of the essences of the approach is that coarse problem and boundary value p
Externí odkaz:
http://arxiv.org/abs/2309.05372
We consider the degenerate Einsteins Brownian motion model when the time interval of the moving particles before the collisions, is reciprocal to the number of particles per unit volume u(x,t), at the point of observation x at time t. The parameter 0
Externí odkaz:
http://arxiv.org/abs/2206.15411
Autor:
Hevage, Isanka Garli, Ibraguimov, Akif
We considered the qualitative behavior of the generalization of Einstein's model of Brownian motion when the key parameter of the time interval of \textit{free jump} degenerates. Fluids will be characterized by the number of particles per unit volume
Externí odkaz:
http://arxiv.org/abs/2102.01368
Publikováno v:
Math. Meth. Appl. Sci. 46 (2023) 12895-12913
We employ a generalization of Einstein's random walk paradigm for diffusion to derive a class of multidimensional degenerate nonlinear parabolic equations in non-divergence form. Specifically, in these equations, the diffusion coefficient can depend
Externí odkaz:
http://arxiv.org/abs/2012.15400
Publikováno v:
J. Math. Phys. 61, 081505 (2020)
We study the long-time asymptotics of prototypical non-linear diffusion equations. Specifically, we consider the case of a non-degenerate diffusivity function that is a (non-negative) polynomial of the dependent variable of the problem. We motivate t
Externí odkaz:
http://arxiv.org/abs/2002.07937
Publikováno v:
In Geoenergy Science and Engineering June 2023 225
We investigate the qualitative properties of solution to the Zaremba type problem in unbounded domain for the non-divergence elliptic equation with possible degeneration at infinity. The main result is Phragm\'en-Lindel\"of type principle on growth/d
Externí odkaz:
http://arxiv.org/abs/1801.00741
Paper dedicated to qualitative study of the solution of the Zaremba type problem in Lipschitz domain with respect to the elliptic equation in non-divergent form. Main result is Landis type Growth Lemma in spherical layer for Mixed Boundary Value Prob
Externí odkaz:
http://arxiv.org/abs/1707.03913
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