Symmetry Properties and Solutions of Shallow Water Equations
نویسندگان
چکیده
منابع مشابه
Singular solutions for the shallow-water equations
The method of weak asymptotics is used to find singular solutions of the shallow-water system which can contain Dirac-δ distributions (Espinosa & Omel’yanov, 2005). Complex-valued approximations which become real-valued in the distributional limit are shown to extend the range of possible singular solutions. It is shown, in this paper, how this approach can be used to construct solutions contai...
متن کاملSymmetries and exact solutions of the rotating shallow water equations
Lie symmetry analysis is applied to study the nonlinear rotating shallow water equations. The 9-dimensional Lie algebra of point symmetries admitted by the model is found. It is shown that the rotating shallow water equations are related with the classical shallow water model with the change of variables. The derived symmetries are used to generate new exact solutions of the rotating shallow eq...
متن کاملShallow Water Equations: Viscous Solutions and Inviscid Limit
We establish the inviscid limit of the viscous shallow water equations to the Saint-Venant system. For the viscous equations, the viscosity terms are more degenerate when the shallow water is close to the bottom, in comparison with the classical NavierStokes equations for barotropic gases; thus the analysis in our earlier work for the classical Navier-Stokes equations does not apply directly, w...
متن کاملStep Soliton Generalized Solutions of the Shallow Water Equations
1 Department of Fluid Dynamic, IMPA, Dona Castorina 110, Jardı́n Botànico, 22460-320 Rio de Janeiro, RJ, Brazil 2 Oceanology Institute, Environmental Agency, Avenida Primera, 18406, Flores, Playa, 11600 C. Habana, Cuba 3 Laboratoire AOC, Université des Antilles et de la Guyane, Campus de Fouillole, 97159 Pointe-à-Pitre, Guadeloupe 4 Departamento de Matemáticas, Facultad de Matemáticas y Computac...
متن کاملTwo Element-by-Element Iterative Solutions for Shallow Water Equations
In this paper we apply the generalized Taylor–Galerkin finite element model to simulate bore wave propagation in a domain of two dimensions. For stability and accuracy reasons, we generalize the model through the introduction of four free parameters. One set of parameters is rigorously determined to obtain the high-order finite element solution. The other set of free parameters is determined fr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Universal Journal of Applied Mathematics
سال: 2014
ISSN: 2331-6446,2331-6470
DOI: 10.13189/ujam.2014.020103