2D Serre-Green-Naghdi Equations over Topography: Elliptic Operator Inversion Method

Author:

Gavrilyuk Sergey1ORCID,Shyue Keh-Ming2ORCID

Affiliation:

1. Professor, Dept. of Mechanics, Aix Marseille Univ., Centre National de Recherche (CNRS), Institut Universitaire des Systèmes Thermiques Industriels (IUSTI), Unité Mixte de Recherche (UMR) 7343, Marseille 13004, France (corresponding author). ORCID: .

2. Professor, Institute of Applied Mathematical Sciences, National Taiwan Univ., Taipei 106, Taiwan. ORCID: .

Publisher

American Society of Civil Engineers (ASCE)

Subject

Mechanical Engineering,Water Science and Technology,Civil and Structural Engineering

Reference51 articles.

1. Abramowitz, M., and I. A. Stegun. 1964. Handbook of mathematical functions with formulas, graphs, and mathematical tables. New York: Dover.

2. Dispersive Nonlinear Shallow-Water Equations

3. Dispersive Nonlinear Waves in Two-Layer Flows with Free Surface. I. Model Derivation and General Properties

4. Dispersive effects in two-dimensional hydrodynamics;Bazdenkov S.;Sov. Phys. Dokl.,1987

5. Bouchut, F. 2000. Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources. Basel, Switzerland: Birkhauser.

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