On a finite time interval stability for the one-dimensional microwave heating problem

Authors

  • Raytmann Folker St. Petersburg State University, Universitetskaya nab., 7-9, St. Petersburg, 199034, Russian Federation;
  • Sergey N. Skopinov St. Petersburg State University, Universitetskaya nab., 7-9, St. Petersburg, 199034, Russian Federation;

Abstract

In this paper the microwave heating problem with homogeneous material in one-space dimension is considered. Stability on a finite time interval for this problem is investigated. Sufficient conditions for such a stability using auxiliary functions are derived. For the one-dimensional microwave heating problem these functions including a Lyapunov functional, are given in explicit form. Refs 7.

Keywords:

finite time stability, Lyapunov functionals, microwave heating

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Published

2015-02-01

How to Cite

Folker, R., & Skopinov, S. N. (2015). On a finite time interval stability for the one-dimensional microwave heating problem. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2(1), 54–59. Retrieved from https://math-mech-astr-journal.spbu.ru/article/view/11130

Issue

Vol. 2 No. 1 (2015)

Section

Mathematics

License

Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.