Document Type
Thesis
Date of Award
5-31-1987
Degree Name
Master of Science in Applied Mathematics - (M.S.)
Department
Mathematics
First Advisor
Denis L. Blackmore
Second Advisor
Petronije Milojevic
Third Advisor
John Tavantzis
Abstract
Many of the mathematical models arising in dynamical chemical processes are systems of weakly coupled hyperbolic and parabolic partial differential equations with constant coefficients. It is shown in this paper that this kind of systems of partial differential equations can be treated using generalizations of Green's functions. The Green's function is completely defined, including all boundary conditions, for systems with nonselfadjoint operators as well as those which are selfadjoint. The Green's functions can be expressed in terms of eigenvalues and eigenfunctions of the operator and the adjoint operator when they can be obtained. We develop a method based on higher dimensional Laplace transforms which is an effective tool for obtaining solutions of these problems.
Recommended Citation
Zhang, Zhifeng, "On weakly coupled hyperbolic and parabolic partial differential equations arising in chemical engineering problems" (1987). Theses. 3342.
https://digitalcommons.njit.edu/theses/3342
