Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Alexander L. Kazakov"'
Autor:
L. F. Spevak, Alexander L. Kazakov
Publikováno v:
Journal of Applied Mechanics and Technical Physics. 62:18-26
Solutions to a nonlinear parabolic convection–diffusion equation are constructed in the form of a diffusion wave that propagates over a zero background at a finite velocity. The theorem of existence and uniqueness of the solution is proven. The sol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::12f3053262ae4c405cb1c3c18d8f35b7
https://doi.org/10.1134/s002189442101003x
https://doi.org/10.1134/s002189442101003x
Publikováno v:
Diagnostics, Resource and Mechanics of materials and structures. :26-44
The paper deals with the construction of exact solutions to a nonlinear heat equation with degeneration in the case of the zero value of the required function. Generically self-similar solutions and traveling wave solutions are considered, the constr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d44a6534479c664c82cf0c47c2c551d0
https://doi.org/10.17804/2410-9908.2020.5.026-044
https://doi.org/10.17804/2410-9908.2020.5.026-044
Publikováno v:
Известия Иркутского государственного университета: Серия "Математика", Vol 31, Iss 1, Pp 18-33 (2020)
This paper is devoted to the problem of constructing an optimal covering of a two-dimensional figure by the union of circles. The radii of the circles, generally speaking, are different. Each of them is equal to the product of some positive coefficie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05c149cc4cef610841f6af34ff3850b7
http://mathizv.isu.ru/en/article/file?id=1328
http://mathizv.isu.ru/en/article/file?id=1328
Autor:
Alexander L. Kazakov
Publikováno v:
Diagnostics, Resource and Mechanics of materials and structures. :16-25
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d17f0933d321215c4e7489b61243f3af
https://doi.org/10.17804/2410-9908.2019.4.016-025
https://doi.org/10.17804/2410-9908.2019.4.016-025
Publikováno v:
Computational Mathematics and Mathematical Physics. 59:1015-1029
The paper is devoted to constructing approximate heat wave solutions propagating along the cold front at a finite speed for a nonlinear (quasi-linear) heat conduction equation with a power nonlinearity. The coefficient of the higher derivatives vanis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::74c067d668589ada14c90814bee66e77
https://doi.org/10.1134/s0965542519060083
https://doi.org/10.1134/s0965542519060083
Publikováno v:
Journal of Mathematical Sciences. 239:111-122
For a nonlinear parabolic heat equation we construct a heat wave type solution composed of the zero and nonnegative solutions joined continuously along the wave front. We prove the existence and uniqueness of an analytic solution to the problem with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6959f92acae3aed5d11d612d889e6f23
https://doi.org/10.1007/s10958-019-04294-x
https://doi.org/10.1007/s10958-019-04294-x
Publikováno v:
Symmetry, Vol 12, Iss 999, p 999 (2020)
Symmetry
Volume 12
Issue 6
Symmetry
Volume 12
Issue 6
The paper deals with a system of two nonlinear second-order parabolic equations. Similar systems, also known as reaction-diffusion systems, describe different chemical processes. In particular, two unknown functions can represent concentrations of ef
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cca26d7808562c84d6c2e1710a4b897a
https://www.mdpi.com/2073-8994/12/6/999
https://www.mdpi.com/2073-8994/12/6/999
Publikováno v:
Mathematical Optimization Theory and Operations Research ISBN: 9783030586560
The paper is devoted to the multiple covering problem by circles of two types. The number of circles of each class is given as well as a ratio radii. The circle covering problem is usually studied in the case when the distance between points is Eucli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ef00971d87a089b129b6b4dbf358c00a
https://doi.org/10.1007/978-3-030-58657-7_12
https://doi.org/10.1007/978-3-030-58657-7_12
Publikováno v:
Diagnostics, Resource and Mechanics of materials and structures. :100-116
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::296cb2c8550e21de6e5f3b736fb7bd52
https://doi.org/10.17804/2410-9908.2018.6.100-116
https://doi.org/10.17804/2410-9908.2018.6.100-116
Publikováno v:
Siberian Mathematical Journal. 59:427-441
We construct and study exact solutions to a nonlinear second order parabolic equation which is usually called the “nonlinear heat equation” or “nonlinear filtration equation” in the Russian literature and the “porous medium equation” in o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25a14f2492cd8c0bdcf7a04a0c5568f1
https://doi.org/10.1134/s0037446618030060
https://doi.org/10.1134/s0037446618030060