Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Alternative variational formulations for first order partial differential systems

Author: Nima Geffen
Journal: Quart. Appl. Math. 41 (1983), 245-252
MSC: Primary 49B22; Secondary 35Q20, 49H05
DOI: https://doi.org/10.1090/qam/719508
MathSciNet review: 719508
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Abstract: Two simple alternative variational principles are derived for a first order differential system with appropriate initial and boundary conditions. The problem is assumed to be well posed, and may be nonlinear, nonhomogeneous and of any type (i.e. elliptic, hyperbolic or mixed). Primitive variables are used, which allows for non-smooth solutions. Redundancy in the system is considered, and applications to fluidynamics and electrodynamics fields given.

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DOI: https://doi.org/10.1090/qam/719508
Article copyright: © Copyright 1983 American Mathematical Society

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