Rigorous Analysis and Dynamics of Hibler’s Sea Ice Model
Felix Brandt, Karoline Disser, Robert Haller‐Dintelmann, Matthias Hieber
Abstract
Abstract This article develops for the first time a rigorous analysis of Hibler’s model of sea ice dynamics. Identifying Hibler’s ice stress as a quasilinear second-order operator and regarding Hibler’s model as a quasilinear evolution equation, it is shown that a regularized version of Hibler’s coupled sea ice model, i.e., the model coupling velocity, thickness and compactness of sea ice, is locally strongly well-posed within the $$L_q$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>L</mml:mi> <mml:mi>q</mml:mi> </mml:msub> </mml:math> -setting and also globally strongly well-posed for initial data close to constant equilibria.
Topics & Concepts
Sea iceConstant (computer programming)GeologyCoupling (piping)Dynamics (music)Operator (biology)MathematicsStatistical physicsMathematical analysisPhysicsClimatologyComputer scienceEngineeringTranscription factorProgramming languageAcousticsGeneChemistryRepressorMechanical engineeringBiochemistryArctic and Antarctic ice dynamicsAdvanced Mathematical Modeling in EngineeringDifferential Equations and Numerical Methods