Standard

Kinetic and entropy solutions of quasilinear impulsive hyperbolic equations. / Kuznetsov, Ivan.

In: Mathematical Modelling of Natural Phenomena, Vol. 13, No. 2, 20, 01.01.2018.

Research output: Contribution to journal › Article › peer-review

Harvard

Kuznetsov, I 2018, 'Kinetic and entropy solutions of quasilinear impulsive hyperbolic equations', Mathematical Modelling of Natural Phenomena, vol. 13, no. 2, 20. https://doi.org/10.1051/mmnp/2018022

APA

Kuznetsov, I. (2018). Kinetic and entropy solutions of quasilinear impulsive hyperbolic equations. Mathematical Modelling of Natural Phenomena, 13(2), [20]. https://doi.org/10.1051/mmnp/2018022

Vancouver

Kuznetsov I. Kinetic and entropy solutions of quasilinear impulsive hyperbolic equations. Mathematical Modelling of Natural Phenomena. 2018 Jan 1;13(2):20. doi: 10.1051/mmnp/2018022

Author

Kuznetsov, Ivan. / Kinetic and entropy solutions of quasilinear impulsive hyperbolic equations. In: Mathematical Modelling of Natural Phenomena. 2018 ; Vol. 13, No. 2.

BibTeX

@article{981ef3ed98bb4399813ae64b74484b4f,
title = "Kinetic and entropy solutions of quasilinear impulsive hyperbolic equations",
abstract = "In the present paper we deal with kinetic and entropy solutions of quasilinear impulsive hyperbolic equations. The genuine nonlinearity condition enables to prove the existence of one-sided traces of these solutions on fixed-Time hyperplanes. The latter fact provides the impulsive condition. This type of equations can be used in the fluctuating hydrodynamics.",
keywords = "Entropy solution, Fluctuating hydrodynamics, Initial-boundary value problem, Kinetic solution, Parabolic regularization, Quasilinear impulsive hyperbolic equation, EXISTENCE, kinetic solution, parabolic regularization, STRONG TRACES, quasilinear impulsive hyperbolic equation, initial-boundary value problem, SCALAR CONSERVATION-LAWS, SYSTEMS, fluctuating hydrodynamics, 1ST-ORDER",
author = "Ivan Kuznetsov",
note = "Acknowledgements. The work was supported by the grant “Mathematical with singularities, shocks and inner inhomogeneities” no. III.22.4.2",
year = "2018",
month = jan,
day = "1",
doi = "10.1051/mmnp/2018022",
language = "English",
volume = "13",
journal = "Mathematical Modelling of Natural Phenomena",
issn = "0973-5348",
publisher = "EDP Sciences",
number = "2",

}

RIS

TY - JOUR

T1 - Kinetic and entropy solutions of quasilinear impulsive hyperbolic equations

AU - Kuznetsov, Ivan

N1 - Acknowledgements. The work was supported by the grant “Mathematical with singularities, shocks and inner inhomogeneities” no. III.22.4.2

PY - 2018/1/1

Y1 - 2018/1/1

N2 - In the present paper we deal with kinetic and entropy solutions of quasilinear impulsive hyperbolic equations. The genuine nonlinearity condition enables to prove the existence of one-sided traces of these solutions on fixed-Time hyperplanes. The latter fact provides the impulsive condition. This type of equations can be used in the fluctuating hydrodynamics.

AB - In the present paper we deal with kinetic and entropy solutions of quasilinear impulsive hyperbolic equations. The genuine nonlinearity condition enables to prove the existence of one-sided traces of these solutions on fixed-Time hyperplanes. The latter fact provides the impulsive condition. This type of equations can be used in the fluctuating hydrodynamics.

KW - Entropy solution

KW - Fluctuating hydrodynamics

KW - Initial-boundary value problem

KW - Kinetic solution

KW - Parabolic regularization

KW - Quasilinear impulsive hyperbolic equation

KW - EXISTENCE

KW - kinetic solution

KW - parabolic regularization

KW - STRONG TRACES

KW - quasilinear impulsive hyperbolic equation

KW - initial-boundary value problem

KW - SCALAR CONSERVATION-LAWS

KW - SYSTEMS

KW - fluctuating hydrodynamics

KW - 1ST-ORDER

UR - http://www.scopus.com/inward/record.url?scp=85047105678&partnerID=8YFLogxK

UR - https://www.elibrary.ru/item.asp?id=35482793

U2 - 10.1051/mmnp/2018022

DO - 10.1051/mmnp/2018022

M3 - Article

AN - SCOPUS:85047105678

VL - 13

JO - Mathematical Modelling of Natural Phenomena

JF - Mathematical Modelling of Natural Phenomena

SN - 0973-5348

IS - 2

M1 - 20

ER -

ID: 13487914