Well-posedness and stability analysis of a landscape evolution model

DOI10.1007/s00332-023-09997-9arXiv2211.09629OpenAlexW4309671490MaRDI QIDQ6188977

Pierre Degond, Pascal Noble, Julie Binard

Publication date: 12 January 2024

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

Full work available at URL: https://arxiv.org/abs/2211.09629

zbMATH Keywords

pattern formationsedimentationinstabilitieserosion by waterlandscape evolution modelstream incision law

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Stability in context of PDEs (35B35) Suspensions (76T20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Granular flows (76T25) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Pattern formations in context of PDEs (35B36) Mixed-type systems of PDEs (35M30) Mathematical modeling or simulation for problems pertaining to geophysics (86-10)

Cites Work

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• On the influence of the thickness of the sediment moving layer in the definition of the bedload transport formula in Exner systems
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• On the equations of landscape formation
• Formal deduction of the Saint-Venant–Exner model including arbitrarily sloping sediment beds and associated energy
• Derivatives of Eigenvalues and Eigenvectors of Matrix Functions
• Viscosity solutions for quasilinear degenerate parabolic equations of porous medium type

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