The nonlinear 2D supercritical inviscid shallow water equations in a rectangle-Reference-Cited by-同舟云学术

The nonlinear 2D supercritical inviscid shallow water equations in a rectangle

Published:2015-06-30 Issue:3 Volume:93 Page:187-218
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Huang Aimin¹,Petcu Madalina²³,Temam Roger¹

Affiliation:

1. The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, IN, USA. E-mails: aimhuang@indiana.edu, temam@indiana.edu

2. Laboratoire de Mathématiques et Applications, Université de Poitiers, Futuroscope Chasseneuil cedex, France. E-mail: Madalina.Petcu@math.univ-poitiers.fr

3. The Institute of Mathematics of the Romanian Academy, Bucharest, Romania

Publisher

IOS Press

Subject

General Mathematics

Reference28 articles.

1. [1]S. Benzoni-Gavage and D. Serre, Multi-Dimensional Hyperbolic Partial Differential Equations, Oxford Univ. Press, 2007.

2. [2]J. Chazarain and A. Piriou, Introduction to the Theory of Linear Partial Differential Equations, North-Holland, Amsterdam, 1982. (Translated from French.)

3. Numerical approximation of the inviscid 3D primitive equations in a limited domain;Chen;ESAIM: Mathematical Modelling and Numerical Analysis,2012

4. [4]K.-J. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equations, Graduate Texts in Mathematics, Vol. 194, Springer, 2000.

5. [5]L.C. Evans, Partial Differential Equations, Vol. 19, Amer. Math. Soc., Providence, RI, 1998.

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