Skip to main content
×
Home
    • Aa
    • Aa

Existence and uniqueness of discontinuous solutions for a hyperbolic system

  • Feimin Huang (a1)
Abstract

In this paper, we prove the global existence and uniqueness of solutions to the Cauchy problem of a hyperbolic system, which probably contains so-called δ-waves.

Copyright
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

3 A. Forestier and P. LeFloch . Multivalued solutions to some non-linear and non-strictly hyperbolic systems. Japan. J. Indust. Appl. Math. 9 (1992), 123.

4 E. Hopf . The partial differential equation ut, + uux = μuxx. Comm. Pure Appl. Math. 3 (1950), 201–30.

6 F. Huang , C. Li and Z. Wang . Solutions containing delta-waves of Cauchy problems for a nonstrictly hyperbolic system. Acta Mathematicae Applicatae Sinica 11 (1995), 429–46.

7 P. Lax . Hyperbolic systems of conservation laws, II. Comm. Pure Appl. Math. 10 (1957), 537–66.

10 D. Tan , T. Zheng and Y. Zhang . Delta-shock wave as limits of vanishing viscosity for hyperbolic systems of conservation laws. J. Differential Equations 112 (1994), 132.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Proceedings of the Royal Society of Edinburgh Section A: Mathematics
  • ISSN: 0308-2105
  • EISSN: 1473-7124
  • URL: /core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 2 *
Loading metrics...

Abstract views

Total abstract views: 51 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 29th May 2017. This data will be updated every 24 hours.