A variational approach to the modeling of compressible magnetoelastic materials

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00635638" target="_blank" >RIV/67985840:_____/25:00635638 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/25:10511043
Result on the web
<a href="https://doi.org/10.1016/j.jmps.2025.106169" target="_blank" >https://doi.org/10.1016/j.jmps.2025.106169</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmps.2025.106169" target="_blank" >10.1016/j.jmps.2025.106169</a>

Result language
angličtina
Original language name
A variational approach to the modeling of compressible magnetoelastic materials
Original language description
We analyze a model of the evolution of a (solid) magnetoelastic material. More specifically, the model we consider describes the evolution of a compressible magnetoelastic material with a non-convex energy and coupled to a gradient flow equation for the magnetization in the quasi-static setting. The viscous dissipation considered in this model induces an extended material derivative in the magnetic force balance. We prove existence of weak solutions based on De Giorgi's minimizing movements scheme, which allows us to deal with the non-convex energy as well as the non-convex state space for the deformation. In the application of this method we rely on the fact that the magnetic force balance in the model can be expressed in terms of the same energy and dissipation potentials as the equation of motion, allowing us to model the functional for the discrete minimization problem based on these potentials.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GC22-08633J" target="_blank" >GC22-08633J: Qualitative Theory of the MHD and Related Equations</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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