Equivalence of Referential and Spatial Field Equations in Continuum Physics
作者： C. M. Dafermos
DOI: 10.1007/978-3-322-87871-7_21
关键词:
摘要: Two alternative descriptions of motion are traditionally employed in Continuum Physics: the referential, which fields associated with material points and time, spatial same realized as functions position time. Hydrodynamicists commonly use terms Lagrangean for referential Eulerian but, pointed out by Truesdell [3, §66A], “Lagrangean” description was actually introduced Euler while “Eulerian” formulation originally Daniel Bernoulli D’Alembert.
springer.com
sci-hub.st 参考文章(4)
C. Truesdell, R. Toupin, The Classical Field Theories Handbuch der Physik. ,vol. 2, pp. 226- 858 ,(1960) , 10.1007/978-3-642-45943-6_2
Morton E. Gurtin, William O. Williams, William P. Ziemer, Geometric Measure Theory and the Axioms of Continuum Thermodynamics Archive for Rational Mechanics and Analysis. ,vol. 92, pp. 379- 400 ,(1986) , 10.1007/BF00250730
David H Wagner, Equivalence of the Euler and Lagrangian equations of gas dynamics for weak solutions Journal of Differential Equations. ,vol. 68, pp. 118- 136 ,(1987) , 10.1016/0022-0396(87)90188-4
R. J. DiPerna, Convergence of approximate solutions to conservation laws Archive for Rational Mechanics and Analysis. ,vol. 82, pp. 27- 70 ,(1983) , 10.1007/BF00251724