Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

Breakdown of smooth solutions in dissipative nonlinear hyperbolic equations


Author: Harumi Hattori
Journal: Quart. Appl. Math. 40 (1982), 113-127
MSC: Primary 35L65; Secondary 76A10
DOI: https://doi.org/10.1090/qam/666668
MathSciNet review: 666668
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References [Enhancements On Off] (What's this?)

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  • [3] T. Nishida, Global smooth solutions for the second-order quasilinear wave equations with the first-order dissipation (unpublished)
  • [4] M. Slemrod, Instability of steady shearing flow in a non-linear viscoelastic fluid, Arch. Rat. Mech. Anal. 68, 211-255 (1978) MR 509225
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  • [6] R. C. MacCamy, A model for one-dimensional nonlinear viscoelasticity, Quart. Appl. Math. 25, 21-33 (1977) MR 0478939
  • [7] C. M. Dafermos and J. A. Nohel, Energy methods for nonlinear hyperbolic Volterra integrodifferential equations, Univ. of Wisconsin M.R.C. Technical Summary Report No. 1876

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DOI: https://doi.org/10.1090/qam/666668
Article copyright: © Copyright 1982 American Mathematical Society

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