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 -