Well-posedness of Hibler's dynamical sea-ice model

DOI10.1007/s00332-022-09803-yOpenAlexW3154028766WikidataQ113355052 ScholiaQ113355052MaRDI QIDQ2141338

Edriss S. Titi, Marita Thomas, Xin Liu

Publication date: 25 May 2022

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.09264

zbMATH Keywords

well-posednesscontraction mapping argumentuniform boundsice rheologysea-iceHibler sea-ice modelregularizing procedure

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Viscoelastic fluids (76A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Uses Software

• neXtSIM

Cites Work

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• Very singular diffusion equations: second and fourth order problems
• Compressible fluid flow and systems of conservation laws in several space variables
• A finite element multigrid-framework to solve the sea ice momentum equation