Formation of singularities for certain hyperbolic systems in one space dimension.
type: Item
instance of: scholarly article
title: Formation of singularities for certain hyperbolic systems in one space dimension.
zbMATH Open document ID: 1106.35315
DOI: 10.1016/S0022-247X(02)00427-4
author: Renato Manfrin
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
Mathematics Subject Classification ID: 35L60
Mathematics Subject Classification ID: 35A21
zbMATH DE Number: 1866741
zbMATH Keywords: Formation of singularities
zbMATH Keywords: Quasilinear hyperbolic systems
MaRDI profile type: Publication
cites work: On the breakdown phenomina of solutions of quasilinear wave equations
cites work: Q4353874
cites work: Some existence theorems for hyperbolic systems of partial differential equations in two independent variables
cites work: On Hyperbolic Partial Differential Equations
cites work: On the smoothing of initial discontinuities and the development of singularities in solutions of certain quasilinear hyperbolic equations
cites work: Globally smooth solutions of quasilinear hyperbolic systems in diagonal form
cites work: Formation of singularities in one-dimensional nonlinear wave propagation
cites work: Q3998613
cites work: Periodic vibrations of systems governed by nonlinear partial differential equations
cites work: Formation of singularities for wave equations including the nonlinear vibrating string
cites work: Life-span of classical solutions to quasilinear hyperbolic systems with slow decay initial data
cites work: Formation of singularities for nonlinear hyperbolic partial differential equations
cites work: Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
cites work: Breakdown of classical solutions for quasilinear hyperbolic systems of diagonal form
cites work: Global regularity and formation of singularities of solutions to first order quasilinear hyperbolic systems
cites work: Q4764506
cites work: Une remarque sur les coordonnées normalisées et ses applications aux systèmes hyperboliques quasi linéaires
cites work: Blow up of periodic solutions to quasilinear hyperbolic systems
cites work: Breakdown of classical solutions to quasilinear hyperbolic systems
cites work: Weak linear degeneracy and global classical solutions for general quasilinear hyperbolic systems
cites work: Global classical solutions for general quasilinear hyperbolic systems with decay initial data
cites work: Existence and nonexistence in the large of solutions of quasilinear wave equations
cites work: Compressible fluid flow and systems of conservation laws in several space variables
cites work: A Note on the Formation of Singularities for Quasi-Linear Hyperbolic Systems
cites work: Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
cites work: Q5574925
description: scientific article; zbMATH DE number 1866741