NDLI logo
  • Content
  • Similar Resources
  • Metadata
  • Cite This
  • Log-in
  • Fullscreen
Log-in
Do not have an account? Register Now
Forgot your password? Account recovery
  1. Zeitschrift für angewandte Mathematik und Physik
  2. Zeitschrift für angewandte Mathematik und Physik : Volume 64
  3. Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 2, April 2013
  4. Electromagnetism on anisotropic fractal media
Loading...

Please wait, while we are loading the content...

Zeitschrift für angewandte Mathematik und Physik : Volume 67
Zeitschrift für angewandte Mathematik und Physik : Volume 66
Zeitschrift für angewandte Mathematik und Physik : Volume 65
Zeitschrift für angewandte Mathematik und Physik : Volume 64
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 6, December 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 5, October 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 4, August 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 3, June 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 2, April 2013
Zero singularities in a ring network with two delays
On entropy weak solutions of Hughes’ model for pedestrian motion
Non-simultaneous blow up for coupled nonlinear diffusion equations with absorptions
Orbital stability for periodic standing waves of the Klein–Gordon–Zakharov system and the beam equation
Existence of locally momentum conserving solutions to a model for heat-conducting flow
Fujita phenomenon in inhomogeneous fast diffusion system
A minimum principle for a soap film problem in $${\mathbb{R}^{2}}$$
An approximated model of multi-temperature mixtures for the description of second sound propagation
A macroscopic model for magnetic shape-memory single crystals
Penny-shaped crack in a plate of finite thickness subjected to a uniform shearing stress
The multiple nature of concentrated interactions in second-gradient dissipative liquids
Electromagnetism on anisotropic fractal media
Restrictions placed on constitutive relations by angular momentum balance and Galilean invariance
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 1, February 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 63
Zeitschrift für angewandte Mathematik und Physik : Volume 62
Zeitschrift für angewandte Mathematik und Physik : Volume 61
Zeitschrift für angewandte Mathematik und Physik : Volume 60
Zeitschrift für angewandte Mathematik und Physik : Volume 59
Zeitschrift für angewandte Mathematik und Physik : Volume 58
Zeitschrift für angewandte Mathematik und Physik : Volume 57
Zeitschrift für angewandte Mathematik und Physik : Volume 56
Zeitschrift für angewandte Mathematik und Physik : Volume 55
Zeitschrift für angewandte Mathematik und Physik : Volume 54
Zeitschrift für angewandte Mathematik und Physik : Volume 53
Zeitschrift für angewandte Mathematik und Physik : Volume 52
Zeitschrift für angewandte Mathematik und Physik : Volume 51
Zeitschrift für angewandte Mathematik und Physik : Volume 50
Zeitschrift für angewandte Mathematik und Physik : Volume 49
Zeitschrift für angewandte Mathematik und Physik : Volume 48

Similar Documents

...
Algorithms for anisotropic and bianisotropic Maxwell’s equations in unbounded media

Article

...
On turbulence in fractal porous media

Article

...
Nonlinear time-harmonic Maxwell equations in domains

Article

...
Anisotropic stress-softening model for compressible solids

Article

...
Two-dimensional variational vibroequilibria and Faraday’s drops

Article

...
Electromagnetism of Artificial Fractal Medium - The Physico-Geometrical Groundwork

Article

...
Variational Formulation for Quaternionic Quantum Mechanics

Article

...
Time-harmonic Maxwell equations with asymptotically linear polarization

Article

...
Octonic Form of Proca-Maxwell’s Equations and Relativistic Derivation of Electromagnetism

Article

Electromagnetism on anisotropic fractal media

Content Provider SpringerLink
Author Ostoja Starzewski, Martin
Copyright Year 2012
Abstract Basic equations of electromagnetic fields in anisotropic fractal media are obtained using a dimensional regularization approach. First, a formulation based on product measures is shown to satisfy the four basic identities of the vector calculus. This allows a generalization of the Green–Gauss and Stokes theorems as well as the charge conservation equation on anisotropic fractals. Then, pursuing the conceptual approach, we derive the Faraday and Ampère laws for such fractal media, which, along with two auxiliary null-divergence conditions, effectively give the modified Maxwell equations. Proceeding on a separate track, we employ a variational principle for electromagnetic fields, appropriately adapted to fractal media, so as to independently derive the same forms of these two laws. It is next found that the parabolic (for a conducting medium) and the hyperbolic (for a dielectric medium) equations involve modified gradient operators, while the Poynting vector has the same form as in the non-fractal case. Finally, Maxwell’s electromagnetic stress tensor is reformulated for fractal systems. In all the cases, the derived equations for fractal media depend explicitly on fractal dimensions in three different directions and reduce to conventional forms for continuous media with Euclidean geometries upon setting these each of dimensions equal to unity.
Ending Page 390
Page Count 10
Starting Page 381
File Format PDF
ISSN 00442275
e-ISSN 14209039
Journal Zeitschrift für angewandte Mathematik und Physik
Issue Number 2
Volume Number 64
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2012-05-27
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword stress Variational methods Fractal media Fractals Theoretical and Applied Mechanics Ampère’s law Maxwell equations Anisotropy Electromagnetism Electromagnetic energy Mathematical Methods in Physics Maxwell’s equations Variational principle Faraday’s law
Content Type Text
Resource Type Article
Subject Applied Mathematics Physics and Astronomy
  • About
  • Disclaimer
  • Feedback
  • Sponsor
  • Contact
  • Chat with Us
About National Digital Library of India (NDLI)
NDLI logo

National Digital Library of India (NDLI) is a virtual repository of learning resources which is not just a repository with search/browse facilities but provides a host of services for the learner community. It is sponsored and mentored by Ministry of Education, Government of India, through its National Mission on Education through Information and Communication Technology (NMEICT). Filtered and federated searching is employed to facilitate focused searching so that learners can find the right resource with least effort and in minimum time. NDLI provides user group-specific services such as Examination Preparatory for School and College students and job aspirants. Services for Researchers and general learners are also provided. NDLI is designed to hold content of any language and provides interface support for 10 most widely used Indian languages. It is built to provide support for all academic levels including researchers and life-long learners, all disciplines, all popular forms of access devices and differently-abled learners. It is designed to enable people to learn and prepare from best practices from all over the world and to facilitate researchers to perform inter-linked exploration from multiple sources. It is developed, operated and maintained from Indian Institute of Technology Kharagpur.

Learn more about this project from here.

Disclaimer

NDLI is a conglomeration of freely available or institutionally contributed or donated or publisher managed contents. Almost all these contents are hosted and accessed from respective sources. The responsibility for authenticity, relevance, completeness, accuracy, reliability and suitability of these contents rests with the respective organization and NDLI has no responsibility or liability for these. Every effort is made to keep the NDLI portal up and running smoothly unless there are some unavoidable technical issues.

Feedback

Sponsor

Ministry of Education, through its National Mission on Education through Information and Communication Technology (NMEICT), has sponsored and funded the National Digital Library of India (NDLI) project.

Contact National Digital Library of India
Central Library (ISO-9001:2015 Certified)
Indian Institute of Technology Kharagpur
Kharagpur, West Bengal, India | PIN - 721302
See location in the Map
03222 282435
Mail: support@ndl.gov.in
Sl. Authority Responsibilities Communication Details
1 Ministry of Education (GoI),
Department of Higher Education
Sanctioning Authority https://www.education.gov.in/ict-initiatives
2 Indian Institute of Technology Kharagpur Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project https://www.iitkgp.ac.in
3 National Digital Library of India Office, Indian Institute of Technology Kharagpur The administrative and infrastructural headquarters of the project Dr. B. Sutradhar  bsutra@ndl.gov.in
4 Project PI / Joint PI Principal Investigator and Joint Principal Investigators of the project Dr. B. Sutradhar  bsutra@ndl.gov.in
Prof. Saswat Chakrabarti  will be added soon
5 Website/Portal (Helpdesk) Queries regarding NDLI and its services support@ndl.gov.in
6 Contents and Copyright Issues Queries related to content curation and copyright issues content@ndl.gov.in
7 National Digital Library of India Club (NDLI Club) Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach clubsupport@ndl.gov.in
8 Digital Preservation Centre (DPC) Assistance with digitizing and archiving copyright-free printed books dpc@ndl.gov.in
9 IDR Setup or Support Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops idr@ndl.gov.in
I will try my best to help you...
Cite this Content
Loading...