Date of Award
8-2017
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematical Sciences
Committee Member
Dr. Vincent Ervin, Committee Chair
Committee Member
Dr. Timo Heister
Committee Member
Dr. Lea Jenkins
Committee Member
Dr. Hyesuk Lee
Abstract
This thesis investigates two nonlinear systems of time-dependent partial differential equations that model a filtration process. Existence and uniqueness results for the governing equations is established. For each system, a finite element scheme capable of approximating the solutions is investigated. Accompanying numerical experiments corroborate the analytical findings. Finally, an optimization application concerning the design of a filter is discussed and supported with a numerical study.
Recommended Citation
Ramirez, Javier Ruiz, "Time-dependent Stokes-Darcy Flow with Deposition" (2017). All Dissertations. 1968.
https://tigerprints.clemson.edu/all_dissertations/1968