The Linearized 2D Inviscid Shallow Water Equations in a Rectangle: Boundary Conditions and Well-Posedness
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Mathematics (miscellaneous),Analysis
Link
http://link.springer.com/content/pdf/10.1007/s00205-013-0702-0.pdf
Reference39 articles.
1. Audusse E., Bristeau M.-O.: Transport of pollutant in shallow water: a two time steps kinetic method. M2AN Math. Model. Numer. Anal. 37(2), 389–416 (2003)
2. Audusse E., Bouchut F., Bristeau M.-O., Klein R., Perthame B.: A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. SIAM J. Sci. Comput. 25(6), 2050–2065 (2004)
3. Audusse E., Bristeau M.O., Perthame B., Sainte-Marie J.: A multilayer saint-venant system with mass exchanges for shallow water flows. derivation and numerical validation. M2AN Math. Model. Numer. Anal. 45(1), 169–200 (2011)
4. Bristeau, M.-O., Coussin, B.: Boundary Conditions for the Shallow Water Equations solved by Kinetic Schemes, No. RR-4282, Projet M3N
5. Bresch D., Desjardins B.: Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model. Commun. Math. Phys. 238(1–2), 211–223 (2003)
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