On Global Well-Posedness and Temporal Decay for 3D Magnetic Induction Equations with Hall Effect

Xiaopeng Zhao
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Xiaopeng Zhao: College of Sciences, Northeastern University, Shenyang 110819, China

Mathematics, 2020, vol. 8, issue 10, 1-25

Abstract: The main purpose of this paper is to study the global existence and uniqueness of solutions for three-dimensional incompressible magnetic induction equations with Hall effect provided that ? u 0 ? H 3 2 + ε + ? b 0 ? H 2 ( 0 < ε < 1 ) is sufficiently small. Moreover, using the Fourier splitting method and the properties of decay character r * , one also shows the algebraic decay rate of a higher order derivative of solutions to magnetic induction equations with the Hall effect.

Keywords: magnetic induction equations with Hall effect; global existence; uniqueness; decay character; decay rate (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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