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Showing 1 to 6 of 6 for “"Boussinesq equation"”.
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Some asymptotic stability results for the Boussinesq equation
We prove that the solution of the Boussinesq equation with relatively small initial data exists globally and decays exponentially under some boundary conditions.
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A study of certain multi-dimensional partial differential equations using Lie symmetry analysis
… nonlinear multi-dimensional partial differential equations which are mathematical models of various physical phenomena of the real world. Closed-form solutions and conservation laws are obtained for such equations using various methods. The multi-dimensional partial differential equations that are …
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Approximate analytical solutions for modeling subsurface flow
Equations of subsurface flow of water, the Richards equation and the Boussinesq equation, have no known exact analytical solutions. Approximate analytical solutions to these equations have been developed under linearizing simplifications. In the first part of the dissertation two commonly used …
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Lagrangian structures and multidimensional consistency
… a volume form), which through the Euler-Lagrange equations provides us with one single equation (i.e., one per component of the dependent variable). Multidimensional consistency is a key integrability property of certain discrete systems; it implies that we are dealing with infinite hierarchies of …
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Smoothing properties of certain dispersive nonlinear partial differential equations
… with the smoothing properties of dispersive equations and systems. Smoothing in this context means that the nonlinear part of the solution flow is of higher regularity than the initial data. We establish this property, and some of its consequences, for several equations. The first part of the …
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A Numerical Method for Extended Boussinesq Shallow-Water Wave Equations
… such as the generation of harmonic waves. The Boussinesq equations are the simplest class of mathematical model that contain all these effects in a variable depth, shallow water environment. There are a variety of Boussinesq-type mathematical models and it is necessary to compare and contrast …