Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Vladimir Chugunov"'
Autor:
Vladimir Chugunov, Sergei Fomin
Publikováno v:
Mathematics, Vol 12, Iss 5, p 685 (2024)
One of the modern, recently developed mathematical approaches for modeling various complex chaotic processes (the bacteria migration is apparently one of them), is the application of fractional differential equations. Introduction of fractional deriv
Externí odkaz:
https://doaj.org/article/2acfe42d4f1a465f900d42307041f3a8
Publikováno v:
Geosciences, Vol 12, Iss 12, p 445 (2022)
The purpose of this paper is to propose the quasi-linear theory of tsunami run-up and run-down on a beach with complex bottom topography. We begin with the one-dimensional nonlinear shallow-water wave equations, which we consider over a beach of comp
Externí odkaz:
https://doaj.org/article/971abb12acf848099be8f4767e27478a
Publikováno v:
Computational and Mathematical Methods. 2
Publikováno v:
International Journal of Heat and Mass Transfer. 103:611-618
Fracture–matrix interactions strongly affect anomalous heat transfer in geological sites. This study investigates effects of the interactions between fractures and rock matrix by using the method of multiple interacting continua (MINC). The MINC ge
Publikováno v:
Applied Mathematical Modelling. 40:2999-3010
The rimming flow of a viscoelastic thin film inside a rotating horizontal cylinder is studied theoretically. Attention is given to the onset of non-Newtonian free-surface instability in creeping flow. This non-inertial instability has been observed i
Autor:
Vladimir Chugunov, Sergei Fomin
Publikováno v:
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 378:20190283
Reservoir contamination by various contaminants including radioactive elements is an actual environmental problem for all developed countries. Analysis of mass transport in a complex environment shows that the conventional diffusion equation based on
Publikováno v:
Geothermics. 57:196-204
This study provides a method to evaluate the effects of cold-water injection into an advection-dominated geothermal reservoir. A fractional advection-dispersion equation (fADE) and a fractional heat transfer equation (fHTE) are applied to fault-relat
Autor:
Megan Golbek, Sergei Fomin, Ravi Shankar, Tucker Hartland, Peter Gerrodette, Yan Sheng, Vladimir Chugunov
Publikováno v:
Applied Mathematics and Computation. 252:27-44
The dynamics of an isolated long wave passing over underwater obstacles are discussed in this paper within the framework of linear shallow water theory. Areas of practical application include coastal defense against tsunami inundation, harbor protect
Publikováno v:
Geothermics. 53:125-132
a b s t r a c t The fractional advection-dispersion equation (fADE) has been proposed to describe mass transport in a fractured reservoir. This study develops a finite discrete method to solve the fADE and tests its accu- racy against analytical solu
Publikováno v:
Journal of Geophysical Research: Oceans. 119:7568-7591
Solitary wave propagation over underwater shelves and bumps is examined using straightforward analytical methods. Explicit solutions for wave propagation are obtained. Using the nonlinear shallow-water equations, it was found that propagation of smal