John, Fritz Formation of singularities in one-dimensional nonlinear wave propagation. (English) Zbl 0302.35064 Commun. Pure Appl. Math. 27, 377-405 (1974). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 215 Documents MSC: 35L60 First-order nonlinear hyperbolic equations 74J10 Bulk waves in solid mechanics × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Lax, Amer. Math. Monthly 79 pp 227– (1972) [2] Glimm, Memoirs of the Amer. Math. Soc. 101 (1970) [3] Knops, Non-existence, instability and growth theorems for solutions of a class of abstract nonlinear equations with applications to nonlinear elastodynamics [4] John, Comm. Pure App. Math. 19 pp 309– (1966) [5] Plane waves of finite amplitude, Studies in Applied Mathematics, 5. Advances in Differential and Integral Equations, SIAM, 1969, pp. 14–19. [6] Caroll, Acta Mech. 3 pp 167– (1967) [7] Varley, Archive for Rat. Mechanics and Analysis 20 pp 309– (1965) · doi:10.1007/BF00253139 [8] Hyperbolic systems of conservation laws and the mathematical theory of shock waves, Regional Conference Series in Applied Mathematics, SIAM, 1973. · doi:10.1137/1.9781611970562 [9] Lax, Comm. Pure App. Math. 10 pp 227– (1957) [10] Lax, Journal of Math. Physics 5 pp 611– (1964) [11] Peradzynski, Bulletin de ľAcademie Polonaise des Sciences, Serie des sciences techniques pp 59– (1971) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.