Asymptotic behavior of Maxwell's equation in one-space dimension with thermal effect

Standard

Asymptotic behavior of Maxwell's equation in one-space dimension with thermal effect. / Kalinin, Yuri; Reitmann, Volker; Yumaguzin, Nayil.

In: Discrete and Continuous Dynamical Systems- Series A, No. SUPPL., 09.2011, p. 754-762.

Research output: Contribution to journal › Article › peer-review

Harvard

Kalinin, Y, Reitmann, V & Yumaguzin, N 2011, 'Asymptotic behavior of Maxwell's equation in one-space dimension with thermal effect', Discrete and Continuous Dynamical Systems- Series A, no. SUPPL., pp. 754-762.

APA

Kalinin, Y., Reitmann, V., & Yumaguzin, N. (2011). Asymptotic behavior of Maxwell's equation in one-space dimension with thermal effect. Discrete and Continuous Dynamical Systems- Series A, (SUPPL.), 754-762.

Vancouver

Kalinin Y, Reitmann V, Yumaguzin N. Asymptotic behavior of Maxwell's equation in one-space dimension with thermal effect. Discrete and Continuous Dynamical Systems- Series A. 2011 Sep;(SUPPL.):754-762.

Author

Kalinin, Yuri ; Reitmann, Volker ; Yumaguzin, Nayil. / Asymptotic behavior of Maxwell's equation in one-space dimension with thermal effect. In: Discrete and Continuous Dynamical Systems- Series A. 2011 ; No. SUPPL. pp. 754-762.

BibTeX

@article{cbee7d0942de40529d2392548b35d595,

title = "Asymptotic behavior of Maxwell's equation in one-space dimension with thermal effect",

abstract = "A coupled system derived from Maxwell's equations and the heat transfer equation is considered. For this system with perturbations a cocycle formulation is presented. Using Lyapunov functionals the global stability of the zero solution for the autonomous case is shown. In the case of almost periodic perturbations conditions for the existence of almost periodic solutions are derived.",

keywords = "Almost periodic solution, Global stability, Maxwell's equation, Thermal effect",

author = "Yuri Kalinin and Volker Reitmann and Nayil Yumaguzin",

year = "2011",

month = sep,

language = "English",

pages = "754--762",

journal = "Discrete and Continuous Dynamical Systems",

issn = "1078-0947",

publisher = "Southwest Missouri State University",

number = "SUPPL.",

}

RIS

TY - JOUR

T1 - Asymptotic behavior of Maxwell's equation in one-space dimension with thermal effect

AU - Kalinin, Yuri

AU - Reitmann, Volker

AU - Yumaguzin, Nayil

PY - 2011/9

Y1 - 2011/9

N2 - A coupled system derived from Maxwell's equations and the heat transfer equation is considered. For this system with perturbations a cocycle formulation is presented. Using Lyapunov functionals the global stability of the zero solution for the autonomous case is shown. In the case of almost periodic perturbations conditions for the existence of almost periodic solutions are derived.

AB - A coupled system derived from Maxwell's equations and the heat transfer equation is considered. For this system with perturbations a cocycle formulation is presented. Using Lyapunov functionals the global stability of the zero solution for the autonomous case is shown. In the case of almost periodic perturbations conditions for the existence of almost periodic solutions are derived.

KW - Almost periodic solution

KW - Global stability

KW - Maxwell's equation

KW - Thermal effect

UR - http://www.scopus.com/inward/record.url?scp=84866145736&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84866145736

SP - 754

EP - 762

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

SN - 1078-0947

IS - SUPPL.

ER -

ID: 73406897