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Formation of singularities in elastic waves

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Trends and Applications of Pure Mathematics to Mechanics

Part of the book series: Lecture Notes in Physics ((LNP,volume 195))

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References

  1. John, F., “Formation of singularities in one-dimensional nonlinear wave propagation,” Comm. Pure Appl. Math. 27 (1974), 377–405.

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  2. Klainerman, S., “On ‘almost global’ solutions to quasilinear wave equations in three space dimensions,” Comm. Pure Appl. Math. 36 (1983) 325–344.

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  3. Ball, J.M., “Differentiability properties of symmetric and isotropic functions”

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  4. John, F., “Finite amplitude.waves in a homogeneous isotropic elastic solid,” Comm. Pure Appl. Math. 30 (1977), 421–446.

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  5. John, F., “Instability of finite amplitude elastic waves,” Proc. IUTAM Sym. on Finite Elasticity, Martinus Nijhoff, 1981.

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  6. John, F., “Blow-up for quasi-linear wave equations in three space dimensions,” Comm. Pure Appl. Math. 34 (1981), 29–51.

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  7. Sideris, T.C., “Global behavior of solutions of nonlinear equations in three dimensions” (preprint, 1982).

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Philippe G. Ciarlet Maurice Roseau

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© 1984 Springer-Verlag

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John, F. (1984). Formation of singularities in elastic waves. In: Ciarlet, P.G., Roseau, M. (eds) Trends and Applications of Pure Mathematics to Mechanics. Lecture Notes in Physics, vol 195. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12916-2_58

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  • DOI: https://doi.org/10.1007/3-540-12916-2_58

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12916-5

  • Online ISBN: 978-3-540-38800-5

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