Gurtin-type properties associated with wave propagation in a viscous, heat-conducting gas
Author:
J. C. Murray
Journal:
Quart. Appl. Math. 34 (1976), 271-286
MSC:
Primary 76.49
DOI:
https://doi.org/10.1090/qam/449172
MathSciNet review:
449172
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Abstract: Variational and reciprocity principles of the Gurtin type are established for the linear initial-boundary value problems associated with small-amplitude wave motion in a viscous, heat-conducting gas.
M. E. Gurtin, Variational principles for linear initial value problems, Quart, Appl. Math. 22, 252–256 (1964)
- M. E. Gurtin, Variational principles for linear elastodynamics, Arch. Rational Mech. Anal. 16 (1964), 34–50. MR 214322, DOI https://doi.org/10.1007/BF00248489
- Morton E. Gurtin, Variational principle for the time-dependent Schrödinger equation, J. Mathematical Phys. 6 (1965), 1506–1507. MR 182314, DOI https://doi.org/10.1063/1.1704687
Ll. G. Chambers, Some properties of solutions of initial-value problems associated with the wave equation, Quart. Appl. Math. 28, 391–398 (1970)
Ll. G. Chambers, Further Gurtin-type variational principles for linear initial value problems, J. Inst. Maths. Applics. 6, 299–301 (1970)
I. Herrera and J. Bielak, A simplified version of Gurtin’s variational principles, Arch. Ratl. Mech. Anal. 53, 131–149 (1974)
- Horace Lamb, Hydrodynamics, 6th ed., Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1993. With a foreword by R. A. Caflisch [Russel E. Caflisch]. MR 1317348
M. E. Gurtin, Variational principles for linear initial value problems, Quart, Appl. Math. 22, 252–256 (1964)
M. E. Gurtin, Variational principles for linear elastodynamics, Arch. Ratl. Mech. Anal. 16, 1 (1964)
M. E. Gurtin, Variational principle for the time-dependent Schrodinger equation, J. Math. Phys. 6, 1506–1507 (1965)
Ll. G. Chambers, Some properties of solutions of initial-value problems associated with the wave equation, Quart. Appl. Math. 28, 391–398 (1970)
Ll. G. Chambers, Further Gurtin-type variational principles for linear initial value problems, J. Inst. Maths. Applics. 6, 299–301 (1970)
I. Herrera and J. Bielak, A simplified version of Gurtin’s variational principles, Arch. Ratl. Mech. Anal. 53, 131–149 (1974)
H. Lamb, Hydrodynamics, Cambridge University Press, 1932
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Article copyright:
© Copyright 1976
American Mathematical Society
