Vector potential formulation of a quasi-static EM induction problem: existence, uniqueness and stability of the weak solution

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10105852" target="_blank" >RIV/00216208:11320/11:10105852 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s13137-011-0019-9" target="_blank" >http://dx.doi.org/10.1007/s13137-011-0019-9</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s13137-011-0019-9" target="_blank" >10.1007/s13137-011-0019-9</a>

Result language

angličtina

Original language name

Vector potential formulation of a quasi-static EM induction problem: existence, uniqueness and stability of the weak solution

Original language description

We deal with the electromagnetic induction in a conductor with 3D distribution of electric conductivity in quasi-static approximation with the focus on theoretical aspects related to the solvability of this problem. We formulate the initial, boundary-value problem of electromagnetic induction in terms of a magnetic vector potential only, first in differential and then in integral forms.We prove that the problem is well posed in the Hadamard sense, that a solution exists, is unique and continuously dependent on data. The fact that no electric scalar potential is employed in the formulation and no gauge condition is imposed on the magnetic vector potential makes the formulation attractive for numerical implementations.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

DE - Earth magnetism, geodesy, geography

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2011

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

GEM - International Journal on Geomathematics

ISSN

1869-2672

e-ISSN

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Volume of the periodical

2

Issue of the periodical within the volume

2

Country of publishing house

DE - GERMANY

Number of pages

15

Pages from-to

265-279

UT code for WoS article

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EID of the result in the Scopus database

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