THERMAL SCIENCE

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Zhao-Ling Tao

,

Guo-Hua Chen

REMARK ON A CONSTRAINED VARIATIONAL PRINCIPLE FOR HEAT CONDUCTION

ABSTRACT
The heat conduction equation is re-studied by the semi-inverse method combined with separation of variables; a new variational principle for the heat conduction equation is obtained. Equivalence of the existed two in literature is shown. The significance of variable separation is confirmed once more.
KEYWORDS
heat equation, variational theory, separation of variables
PAPER SUBMITTED: 2012-12-29
PAPER REVISED: 2013-04-11
PAPER ACCEPTED: 2013-04-11
PUBLISHED ONLINE: 2013-04-21
DOI REFERENCE: https://doi.org/10.2298/TSCI121229040T
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THERMAL SCIENCE YEAR 2013, VOLUME 17, ISSUE Issue 3, PAGES [951 - 952]
REFERENCES
  1. He, J.H., A constrained variational principle for heat conduction,Phys. Lett. A, 359 (2009), 31,pp.2614-2615.
  2. He, J.H., Variational principles for some nonlinear partial differential equations with variable coefficients,Chaos Solitons Fractals, 19 (2004), 4,pp.847-851.
  3. He, J.H., Variational theory for one-dimensional longitudinal beam dynamics,Phys. Lett. A, 352 (2006), 4-5,pp.276-277.
  4. He, J.H., Variational principle for two-dimensional incompressible inviscid flow,Phys. Lett. A, 371 (2007),1-2, pp.39-40.
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Remark on a constrained variational principle for heat conduction

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