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1.Momentum balance in the shallow water equations on bottom discontinuities

作者：A. Valiani ; ^{alessandro.valiani@unife.it} ; V. Caleffi ^{valerio.caleffi@unife.it}

关键词：Balancing ; Energy conservation ; Momentum conservation ; Open channels ; Shallow water equations ; Source term

刊名：Advances in Water Resources

出版年：2017

2.Local martingale solutions to the stochastic one layer shallow water equations

作者：Joshua Link ^{josh.link94@gmail.com} ; Phuong Nguyen ; ^{phunguye@umail.iu.edu} ; Roger Temam ^{temam@indiana.edu}

关键词：Shallow water equations ; Stochastic partial differential equations ; Galerkin approximation ; Martingale solutions ; Local existence

刊名：Journal of Mathematical Analysis and Applications

出版年：2017

3.On the Cauchy problem for a class of shallow water wave equations with (k + 1)-order nonlinearities

作者：Lei Zhang ^{lzhang890701@163.com" class="auth_mail" title="E-mail the corresponding author} ; Bin Liu ; ^{binliu@mail.hust.edu.cn" class="auth_mail" title="E-mail the corresponding author}

关键词：Well-posedness ; Shallow water wave equations ; (k+1)(k+1)-order nonlinearities ; Blow-up criteria ; Gevrey regularity ; Analyticity

刊名：Journal of Mathematical Analysis and Applications

出版年：2017

4.Well-balanced hybrid compact-WENO scheme for shallow water equations

作者：Qiangqiang Zhu^a ; ^{zqqouc2010@126.com} ; Zhen Gao^b ; ^{zhengao@ouc.edu.cn} ; Wai Sun Don^b ; ^{waisundon@gmail.com} ; Xianqing Lv^a ; ^{xqinglv@ouc.edu.cn}

关键词：Well-balanced ; WENO-Z ; Compact ; Multi-resolution ; Hybrid ; Shallow water equations

刊名：Applied Numerical Mathematics

出版年：2017

5.Method of moving frames to solve the shallow water equations on arbitrary rotating curved surfaces

作者：S. Chun^a ; ¹ ; ^{sehun.chun@yonsei.ac.kr} ; C. Eskilsson^b ; ^{claes.eskilsson@chalmers.se}

关键词：Shallow water equations ; Spherical geometry ; Curved surface ; Moving frames ; Discontinuous Galerkin method ; High-order finite elements

刊名：Journal of Computational Physics

出版年：2017

6.Three-dimensional shallow water system: A relaxation approach

作者：Xin Liu^a ; ^{xliu111@uottawa.ca} ; Abdolmajid Mohammadian^a ; ^{majid.mohammadian@uottawa.ca} ; Julio Á ; ngel Infante Sedano^a ; ^{jinfante@uottawa.ca} ; Alexander Kurganov^b ; ^c ; ^{kurganov@math.tulane.edu}

关键词：Three-dimensional shallow water equations ; Central-upwind scheme ; Relaxation approach ; Well-balanced ; Positivity preserving ; Finite-volume method

刊名：Journal of Computational Physics

出版年：2017

7.Parametric instabilities in shallow water magnetohydrodynamics of astrophysical plasma in external magnetic field

作者：D.A. Klimachkov^a ; ^{klimachkovdmitry@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; A.S. Petrosyan^a ; ^b

关键词：Magnetohydrodynamics ; Shallow water approximation ; Nonlinear waves ; Parametric instabilities ; Magneto-Poincare waves ; Magnetostrophic waves

刊名：Physics Letters A

出版年：2017

8.The Cauchy problem on large time for the Water Waves equations with large topography variations

作者：Benoî ; t Mé ; sognon-Gireau ^{benoit.mesognon-gireau@ens.fr}

关键词：Water Waves ; Cauchy problem ; Large time ; Bathymetric

刊名：Annales de l'Institut Henri Poincare (C) Non Linear Analysis

出版年：2017

9.A non-uniform efficient grid type for GPU-parallel Shallow Water Equations models

作者：Renato Vacondio^a ; ^{renato.vacondio@unipr.it} ; Alessandro Dal Palù ; ^b ; ^{alessandro.dalpalu@unipr.it} ; Alessia Ferrari^a ; ^{alessia.ferrari3@studenti.unipr.it} ; Paolo Mignosa^a ; ^{paolo.mignosa@unipr.it} ; Francesca Aureli^a ; ^{francesca.aureli@unipr.it} ; Susanna Dazzi^a ; ^{susanna.dazzi@studenti.unipr.it}

刊名：Environmental Modelling & Software

出版年：2017

10.Some considerations on numerical schemes for treating hyperbolicity issues in two-layer models

作者：L. Sarno^a ; ^{lsarno@unisa.it} ; A. Carravetta^b ; ^{armando.carravetta@unina.it} ; R. Martino^b ; ^{riccardo.martino@unina.it} ; M.N. Papa^a ; ^{mnpapa@unisa.it} ; Y.-C. Tai^c ; ^{yctai@mail.ncku.edu.tw}

关键词：Two-layer shallow-water equations ; Non-conservative hyperbolic systems ; Iterative methods ; Finite volume ; Depth-averaged models

刊名：Advances in Water Resources

出版年：2017

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