The one-dimensional Green–Naghdi equations with a time dependent bottom topography and their conservation laws-Reference-Cited by-同舟云学术

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The one-dimensional Green–Naghdi equations with a time dependent bottom topography and their conservation laws

Published:2020-12-01 Issue:12 Volume:32 Page:123607
ISSN:1070-6631
Container-title:Physics of Fluids
language:en
Short-container-title:Physics of Fluids

Author:

Kaptsov E. I.¹²^ORCID,Meleshko S. V.¹^ORCID,Samatova N. F.³

Affiliation:

1. School of Mathematics, Institute of Science, Suranaree University of Technology, Nakhon Ratchasima 30000, Thailand

2. Keldysh Institute of Applied Mathematics, Russian Academy of Science, Miusskaya Pl. 4, Moscow 125047, Russia

3. Department of Computer Science, College of Engineering, NC State University, Raleigh, North Carolina 27695-8206, USA

Funder

Russian Science Foundation

Publisher

AIP Publishing

Subject

Condensed Matter Physics,Fluid Flow and Transfer Processes,Mechanics of Materials,Computational Mechanics,Mechanical Engineering

Link

http://aip.scitation.org/doi/pdf/10.1063/5.0031238

Reference31 articles.

1. Recent advances in Serre–Green Naghdi modelling for wave transformation, breaking and runup processes

2. Dispersive Shallow Water Wave Modelling. Part I: Model Derivation on a Globally Flat Space

3. Hamiltonian formulation of the extended Green–Naghdi equations

4. Contribution à l'étude des écoulements permanents et variables dans les canaux

5. Korteweg‐de Vries Equation and Generalizations. III. Derivation of the Korteweg‐de Vries Equation and Burgers Equation

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1. Non-Hydrostatic Shallow Flow Model of Particle Tracking in Basin with Various Bathymetry;2024

2. Numerical Treatments of Green-Naghdi Model in Non-Rotating Shallow Fluid Layer;2024

3. Multi-dimensional optimal system and conservation laws for Chaplygin gas Cargo-LeRoux model;Journal of Mathematical Analysis and Applications;2023-05

4. GROUP CLASSIFICATION OF THE TWO-DIMENSIONAL GREEN–NAGHDI EQUATIONS WITH A TIME-DEPENDENT BOTTOM TOPOGRAPHY;Journal of Applied Mechanics and Technical Physics;2022-12

5. Conservation laws of the two-dimensional relativistic gas dynamics equations;International Journal of Non-Linear Mechanics;2022-09

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