Title page for E-project-050208-143730

Project Type	MQP
Submission date	2008-05-02
Author	Eyuel D Abebe, MA
URN	E-project-050208-143730
Title	Qualitative Behavior of Solutions For Shallow Water Wave
Advisor	Luo, Tao, MA
Availability	unrestricted
Abstract This MQP report concerns the finding of the convergence rates to the equilibrium constant states of shallow water wave equations with relaxation as time goes to infinity and establishing the existence of global in time solutions. We study the initial value problem, under a certain set of initial conditions, by considering the system in Lagrangian coordinates using different transformations. We develop two essential lemmas that we employ to prove the global in time existence of solutions and show, moreover, how these lemmas yield the convergence rates, given the initial conditions. We also look at the general case by strengthening the initial conditions and arrive at another system of equations that is similar to the previous one, the analysis of which follows naturally.
Files	FINALMQP.pdf

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