×
Korzyuk, V. I.; Rudzko, J. V.; Kolyachko, V. V.

Problem of longitudinal vibrations of a Maxwell-type viscoelastic rod. (English. Russian original) Zbl 07853935

Mech. Solids 58, No. 7, 2631-2639 (2023); translation from Prikl. Mat. Mekh. 87, No. 3, 489-498 (2023).

Cited in 1 Document

MSC:

74-XX Mechanics of deformable solids

Keywords:

longitudinal vibrations; Maxwell material; Cauchy problem; well-posed problem
Cite Review PDF
Full Text: DOI

References:

[1] L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics. In 10 Vols., Vol. 7: Theory of Elasticity (Fizmatlit, Moscow, 2003) [in Russian].
[2] Rzhanitsyn, A. R., Creeping Theory, 1968, Moscow: Stroiizdat, Moscow
[3] Rzhanitsyn, A. R., Some Mechanical Problems on Time Deformable Systems, 1949, Moscow: Gos. Izd. Tekhn.-Tekh. Lit, Moscow
[4] Strikwerda, J. C., Finite Difference Schemes and Partial Differential Equations, 2004, Philadelphia: Soc. for Industrial and Application Mathematics, Philadelphia · Zbl 1071.65118
[5] Evans, L. C., Partial Differential Equations, 2010, Providence, RI: Am. Math. Soc., Providence, RI · Zbl 1194.35001
[6] Korzyuk, V. I.; Rudzko, J. V., Classical solution of the initial-value problem for a one-dimensional quasilinear wave equation, Dokl. Nats. Akad. Nauk Belarusi, 67, 14-19, 2023 · doi:10.29235/1561-8323-2023-67-1-14-19
[7] Polyanin, A. D., Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2002, Boca Raton, FL: Chapman & Hall/CRC, Boca Raton, FL · Zbl 1027.35001
[8] Korzyuk, V. I.; Rudzko, J. V., “A particular solution of a problem for a system of equations from mechanics with nonsmooth Cauchy conditions,” Izv. Nats. Akad. Nauk Belarusi, Ser. Fiz.-, Mat. Nauk, 58, 300-311, 2022 · Zbl 1533.35063
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.