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

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 ${\mathrm{L}}^p$-setting.

Accepted for publication in Mathematische Annalen

References in corpus (4)

• Simulating linear kinematic features in viscous-plastic sea ice models on quadrilateral and triangular grids
• Mathematical Analysis of the Motion of a Rigid Body in a Compressible Navier-Stokes-Fourier Fluid
• Rigorous Analysis and Dynamics of Hibler's sea ice model
• Well-posedness of Hibler's dynamical sea-ice model

Cited by in corpus (4)

• Interaction of geophysical flows with sea ice dynamics
• Well-posedness of Hibler's parabolic-hyperbolic sea ice model
• Interaction of liquid crystals with a rigid body
• Strong time-periodic solutions for a multilayered fluid-structure interaction system with nonlinear coupling