Well-posedness for the stochastic Landau–Lifshitz–Bloch equation with helicity

Well-posedness for the stochastic Landau–Lifshitz–Bloch equation with helicity

We consider the stochastic Landau–Lifshitz–Bloch equation with helicity term driven by a real-valued Wiener process. We show the existence of a weak martingale solution, followed by pathwise uniqueness of the obtained solution, culminating into the existence of a strong solution using the theory of...

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Veröffentlicht in:Applied mathematics letters 2024-07, Vol.153, p.109040, Article 109040
1. Verfasser: Gokhale, Soham Sanjay
Format: Artikel
Sprache:eng
Schlagworte:
Ferromagnetism
Helicity
Stochastic Landau–Lifshitz–Bloch equation
Stochastic partial differential equations
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Zusammenfassung:We consider the stochastic Landau–Lifshitz–Bloch equation with helicity term driven by a real-valued Wiener process. We show the existence of a weak martingale solution, followed by pathwise uniqueness of the obtained solution, culminating into the existence of a strong solution using the theory of Yamada and Watanabe.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2024.109040