Nonlinear Waves in Inhomogeneous and Hereditary Media
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This monograph presents the study of one-dimensional waves
in inhomogeneous and hereditary media (i.e., media with
memory). A new mathematically rigorous factorization method
is applied which yields either an exact or an asymptotic
decomposition of the nonlinear wave equations under
consideration into first order multipliers.
A central result presented in the book is a factorization
theorem for the simple wave equation with constant
coefficients. It permits to view Riemann invariants and
simple waves from a different angle and is used to go over
to wave equations with variable coefficients and memory.
in inhomogeneous and hereditary media (i.e., media with
memory). A new mathematically rigorous factorization method
is applied which yields either an exact or an asymptotic
decomposition of the nonlinear wave equations under
consideration into first order multipliers.
A central result presented in the book is a factorization
theorem for the simple wave equation with constant
coefficients. It permits to view Riemann invariants and
simple waves from a different angle and is used to go over
to wave equations with variable coefficients and memory.
Dieser Band liefert eine Studie über eindimensionale Wellen in inhomogenen und hereditaren Medien (d.h. Medien mit "Gedächtnis"). Die Autoren wenden eine neue, mathematisch exakte Faktorisierungsmethode an, die entweder zur exakten oder zur asymptotischen Zerlegung nichtlinearer Wellengleichungen in Multiplikatoren erster Ordnung führt.
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