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

Dates

  • Submission Date2012-12-29
  • Revision Date2013-04-11
  • Acceptance Date2013-04-11
  • Online Date2013-04-21

DOI Reference

10.2298/TSCI121229040T

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.
Volume 17, Issue 3, Pages951 -952