全部文献期刊会议图书|学者科研项目
中外文文献  中文文献  外文文献
作者:Alexei G. Kushner , Ruslan I. Matviychuk
来源:[J].Journal of Geometry and Physics(IF 1.055), 2020Elsevier
摘要:Abstract(#br)According to the results of B. Kruglikov, O. Lychagina, and V. Lychagin, evolutionary partial differential equations determine flows (finite-dimensional dynamics) on solutions’ spaces of ordinary differential equations.(#br)In the present paper, we construct suc...
作者:Atlas V. Akhmetzyanov , Alexei G. Kushner , Valentin V. Lychagin
来源:[J].Journal of Geometry and Physics(IF 1.055), 2016Elsevier
摘要:Abstract(#br)In this article we study the initial boundary value problem for two-phase heat and mass transport in porous media described by the Buckley–Leverett model. We outline a method to construct asymptotic solutions of the initial boundary problem and show how to overc...
作者:Alexei G. Kushner
来源:[J].Acta Applicandae Mathematicae(IF 0.985), 2010, Vol.109 (1), pp.197-210Springer
摘要:Abstract(#br)We solve a problem of local contact equivalence of hyperbolic and elliptic Monge-Ampère equations to linear equations with constant coefficients. We find normal forms for such equations: the telegraph equation and the Helmholtz equation.
作者:Alexei G. Kushner
来源:[J].Acta Applicandae Mathematicae(IF 0.985), 2008, Vol.101 (1-3), pp.177-189Springer
摘要:Abstract(#br)We solve a problem of contact linearization for non-degenerate regular Monge-Ampère equations. In order to solve the problem we construct tensor invariants of equations with respect to contact transformations and generalize the classical Laplace invariants.
作者:Atlas V. Akhmetzyanov , Alexei G. Kushner , Valentin V. Lychagin
来源:[J].Procedia Computer Science, 2017, Vol.112, pp.1361-1368Elsevier
摘要:Abstract(#br)We construct new finite dimensional submanifolds in the solution space of nonlinear differential filtration equations and describe the corresponding evolutionary dynamics. This method is implemented in a computer program of symbolic computations Maple.
作者:Atlas V. Akhmetzianov , Alexei G. Kushner , Valentin V. Lychagin
来源:[J].IFAC PapersOnLine, 2018, Vol.51 (11), pp.888-890Elsevier
摘要:Abstract(#br)In this paper we consider the Buckley-Leverett filtration model for a two-phase system (for instance, water oil) in a plane domain of porous media with injection and producing wells. Buckley-Leverett’s equations supplemented by the law of conservation of thermal...
作者:Alexei G. Kushner , Valentin V. Lychagin
来源:[J].IFAC PapersOnLine, 2015, Vol.48 (3), pp.1273-1275Elsevier
摘要:Abstract(#br)The classification problem of general control Hamiltonian systems with respect to feedback transformations is considered. The Poisson structure on the algebra of differential invariants is constructed. For systems with one control parameter we find a solution of equi...
作者:Atlas V. Akhmetzianov , Alexei G. Kushner , Valentin V. Lychagin
来源:[J].IFAC PapersOnLine, 2016, Vol.49 (12), pp.1251-1254Elsevier
摘要:Abstract(#br)One-dimensional Buckley - Leverett’s model of frontal displacement of petroleum by water is considered. We apply Backlund transformation to the Buckley - Leverett equation. This allows us to find Cauchy problem’s solutions for this equation in quadratures. These...
作者:Atlas V. Akhmetzianov , Alexei G. Kushner , Valentin V. Lychagin
来源:[J].IFAC PapersOnLine, 2015, Vol.48 (3), pp.1264-1267Elsevier
摘要:Abstract(#br)One-dimensional models of frontal displacement of petroleum by active reagents are considered. These models are described by nonlinear systems of two first order partial differential equations — so called Jacobi systems (see Lychagin (1992); Kushner, Lychagin, R...
作者:Atlas V. Akhmetzianov , Alexei G. Kushner , Valentin V. Lychagin
来源:[J].IFAC Proceedings Volumes, 2013, Vol.46 (9), pp.1170-1175Elsevier
摘要:Abstract(#br)The goal of this paper is to use geometrical theory of nonlinear partial differential equations and singularities theory to obtain the general scheme for control of fronts of petroleum displacement by active reagent. We illustrate our geometric approach to evolutiona...

我们正在为您处理中,这可能需要一些时间,请稍等。

资源合作:cnki.scholar@cnki.net, +86-10-82896619   意见反馈:scholar@cnki.net

×