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Title: Renormalized entropy solutions of the Cauchy problem for a first-order inhomogeneous quasilinear equation

The concept of a renormalized entropy solution of the Cauchy problem for an inhomogeneous quasilinear equation of the first order is introduced. Existence and uniqueness theorems are proved, together with a comparison principle. Connections with generalized entropy solutions are investigated. Bibliography: 10 titles.
Authors:
 [1]
  1. Novgorod State University, Novgorod (Russian Federation)
Publication Date:
OSTI Identifier:
22365953
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 204; Journal Issue: 10; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; CAUCHY PROBLEM; COMPARATIVE EVALUATIONS; ENTROPY; EQUATIONS; MATHEMATICAL SOLUTIONS; RENORMALIZATION