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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 | Similar Articles | Additional Information
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B. L. Rozhdestvenskii, On the discontinuity of solutions of quasilinear equations, Amer. Math. Soc. Transl. (2) 101, 239–250 (1973)
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- M. Slemrod, Instability of steady shearing flows in a nonlinear viscoelastic fluid, Arch. Rational Mech. Anal. 68 (1978), no. 3, 211–225. MR 509225, DOI https://doi.org/10.1007/BF00247740
- Peter D. Lax, Development of singularities of solutions of nonlinear hyperbolic partial differential equations, J. Mathematical Phys. 5 (1964), 611–613. MR 165243, DOI https://doi.org/10.1063/1.1704154
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Article copyright:
© Copyright 1982
American Mathematical Society