Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


IMPACT FACTOR 2017: 0.941
5-year IMPACT FACTOR: 0.953

CiteScore 2017: 0.91

SCImago Journal Rank (SJR) 2017: 0.461
Source Normalized Impact per Paper (SNIP) 2017: 1.022

Mathematical Citation Quotient (MCQ) 2017: 0.49

Online
ISSN
1569-3945
See all formats and pricing
More options …
Volume 20, Issue 5-6

Issues

Well-posedness of the Cauchy problem to a nonlinear magnetoelastic system in 1-D periodic media

Wladimir Neves
  • Institute of Mathematics, Federal University of Rio de Janeiro, C.P. 68530, Cidade Universitária, 21945-970, Rio de Janeiro, Brazil
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Viatcheslav Priimenko
  • Center of Science and Technology, North Fluminense State University Darcy Ribeiro, Av. Alberto Lamego, 2000, Parque Califórnia, 28013-602, Campos dos Goytacazes, RJ, Brazil
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Mikhail Vishnevskii
  • Center of Science and Technology, North Fluminense State University Darcy Ribeiro, Av. Alberto Lamego, 2000, Parque Califórnia, 28013-602, Campos dos Goytacazes, RJ, Brazil; and Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Koptyug prosp., 4, 630090, Novosibirsk, Russia
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2012-12-14 | DOI: https://doi.org/10.1515/jip-2012-0053

Abstract.

There is studied well-posedness of the Cauchy problem on torus to a magnetoelastic system. The mathematical model consists of three coupled partial differential equations. One of them is a hyperbolic equation describing the elastic medium and the other two equations form a parabolic system originated from diffusion Maxwell's equations. Experimental measurements suggest that the elastic medium has a periodic structure, moreover with finite number of discontinuities on the fundamental domain. Thus we have studied in this paper the problem which we have defined as periodically Cauchy diffraction problem. The basic result is to prove existence, uniqueness and stability of solutions of the formulated problem.

Keywords: Periodic media; magnetoelastic coupling; nonlinear model; parabolic-hyperbolic system; Cauchy problem on torus; well-posedness

About the article

Received: 2012-07-27

Published Online: 2012-12-14

Published in Print: 2012-12-01


Citation Information: , Volume 20, Issue 5-6, Pages 805–830, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jip-2012-0053.

Export Citation

© 2012 by Walter de Gruyter Berlin Boston.Get Permission

Comments (0)

Please log in or register to comment.
Log in