System Of Nonlinear Hyperbolic Equations Research Articles

Optimization of a controlled plant that can be described by a nonlinear system of hyperbolic equations

The necessary condition for optimality of control of a plant which can be described by a weakly nonlinear system of hyperbolic equations with constraints of the inequality type on the phase coordinates of the system at a stipulated finite time are derived.

Circular and transverse wave solutions of non-linear hyperbolic systems of equations

Circularly and transversely polarised (henceforth called circular and transverse) waves have been shown to occur as solutions of non-linear equations governing a wide range of physical phenomena, including finite elasticity (1), magnetohydrodynamics (2), and gyromagnetism (3), but only when the material properties of the medium are isotropic with respect to the direction of wave propagation. This paper is an attempt to unify and generalise these results.

Solutions in the large for nonlinear hyperbolic systems of equations

Communications on Pure and Applied MathematicsVolume 18, Issue 4 p. 697-715 Article Solutions in the large for nonlinear hyperbolic systems of equations† James Glimm, James GlimmSearch for more papers by this author James Glimm, James GlimmSearch for more papers by this author First published: November 1965 https://doi.org/10.1002/cpa.3160180408Citations: 1,068 † This work was supported in part by the National Science Foundation under Grant NSF-GP 2600, and in part by the Air Force Office of Scientific Research grant AF-OSR-684-64. Reproduction in whole or in part is permitted for any purpose of the United States Government. AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Citing Literature Volume18, Issue4November 1965Pages 697-715 RelatedInformation

The development of jump discontinuities in nonlinear hyperbolic systems of equations in two independent variables

The development of jump discontinuities in nonlinear hyperbolic systems of equations in two independent variables