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Existence results for the A & φ magnetodynamic formulation of the Maxwell system

Abstract : The (Formula presented.) magnetodynamic Maxwell system given in its potential and space/time formulation is a popular model considered in the engineering community. We establish existence of strong solutions with the help of the theory of Showalter on degenerated parabolic problems; using energy estimates, existence of weak solutions are also deduced.
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https://hal-uphf.archives-ouvertes.fr/hal-03151968
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Submitted on : Thursday, February 25, 2021 - 10:53:26 AM
Last modification on : Thursday, September 8, 2022 - 4:08:35 PM

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Serge Nicaise. Existence results for the A & φ magnetodynamic formulation of the Maxwell system. Applicable Analysis, Taylor & Francis, 2015, 94 (5), pp.863-878. ⟨10.1080/00036811.2014.905678⟩. ⟨hal-03151968⟩

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