Bidimensional shallow water model with polynomial dependence on depth through vorticity

DOI10.1016/j.jmaa.2009.06.003zbMath1173.35640OpenAlexW1998510662MaRDI QIDQ837591

José M. Rodríguez, Raquel Taboada-Vázquez

Publication date: 20 August 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.06.003

zbMATH Keywords

modelingEuler equationsasymptotic analysisshallow waters

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (4)

A new thin layer model for viscous flow between two nearby non‐static surfaces ⋮ Asymptotic analysis of a thin fluid layer flow between two moving surfaces ⋮ Derivation of a new asymptotic viscous shallow water model with dependence on depth ⋮ Time-averaged shallow water model: asymptotic derivation and numerical validation

Cites Work

• A new shallow water model with linear dependence on depth
• Asymptotic modeling in Newtonian fluid mechanics
• Mathematical Justification of the Hydrostatic Approximation in the Primitive Equations of Geophysical Fluid Dynamics
• A new shallow water model with polynomial dependence on depth
• Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation
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