Rigorous analysis of the interaction problem of sea ice with a rigid body

2023/06/27 by Tim Binz, Felix Brandt, Matthias Hieber · 1 citation
Earth and Planetary Sciences · Computer Science · Mathematics · #Arctic and Antarctic ice dynamics #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods

paper · pdf · doi:10.1007/s00208-023-02629-3

Abstract

Abstract Consider the set of equations modeling the motion of a rigid body enclosed in sea ice. Using Hibler’s viscous-plastic model for describing sea ice, it is shown by a certain decoupling approach that this system admits a unique, local strong solution within the \textrmL^p <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mtext>L</mml:mtext> <mml:mi>p</mml:mi> </mml:msup> </mml:math> -setting.

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