On some mathematical models in nonlinear elasticity. (English) Zbl 0954.74504
J. Math. Sci., New York 93, No. 5, 767-771 (1999) and Zap. Nauchn. Semin. POMI 233, 210-216 (1996).
Summary: Some nonlinear models of one-dimensional elastic systems are introduced and existence and uniqueness theorems for the solution of the Cauchy-Dirichlet problem are given.
MSC:
| 74B20 | Nonlinear elasticity |
| 35Q72 | Other PDE from mechanics (MSC2000) |
Citations:
Zbl 0921.00015References:
| [1] | A. Iannelli, G. Prouse, and A. Veneziani, ”Analysis of a nonlinear model of a vibrating string,” (to appear in NoDEA 1996). · Zbl 0844.35067 |
| [2] | L. Gotusso, G. Prouse, and A. Veneziani, ”On two nonlinear models of a vibrating string,”Rend. Ac. Naz.,XL,XVIII (1994). · Zbl 0832.73033 |
| [3] | G. Prouse, ”On some nonlinear models associated with the motion of a rod,” Preprint. · Zbl 0474.73076 |
| [4] | A. Iannelli and G. Prouse, ”Analysis of a nonlinear model of a vibrating rod,” Preprint (to appear in NoDEA). · Zbl 0884.35101 |
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.
