TY - CHAP

T1 - The works of the S. K. Godunov school on hyperbolic equations

AU - Gordienko, Valeriĭ M.

N1 - Publisher Copyright: © Springer Nature Switzerland AG 2020.

PY - 2020/4/3

Y1 - 2020/4/3

N2 - In the mid-1970s, at Novosibirsk State University, the S. K. Godunov seminar on hyperbolic equations started its work. The article describes the works of the participants on hyperbolic equations. The main interest was concentrated around two problems. The first is the reduction of a high-order Petrovskii hyperbolic equation to a first-order Friedrichs hyperbolic symmetric system. The second problem is that if a boundary-value problem is posed for a hyperbolic equation then it is required to reduce it to a symmetric system so that the posed boundary condition be dissipative.

AB - In the mid-1970s, at Novosibirsk State University, the S. K. Godunov seminar on hyperbolic equations started its work. The article describes the works of the participants on hyperbolic equations. The main interest was concentrated around two problems. The first is the reduction of a high-order Petrovskii hyperbolic equation to a first-order Friedrichs hyperbolic symmetric system. The second problem is that if a boundary-value problem is posed for a hyperbolic equation then it is required to reduce it to a symmetric system so that the posed boundary condition be dissipative.

UR - http://www.scopus.com/inward/record.url?scp=85114656787&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-38870-6_20

DO - 10.1007/978-3-030-38870-6_20

M3 - Chapter

AN - SCOPUS:85114656787

SN - 9783030388690

SP - 153

EP - 160

BT - Continuum Mechanics, Applied Mathematics and Scientific Computing

PB - Springer International Publishing AG

ER -