Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 60, pp. 1-13.

Title: Method of straight lines for a Bingham problem

Authors: German Torres (Univ. Nacional de Cordoba, Argentina)
 Cristina Turner (Univ. Nacional de Cordoba, Argentina)
         
Abstract: 
  In this work we develop a method of  straight lines for a
  one-dimensional Bingham problem. A Bingham fluid has viscosity
  properties that produce a separation into two  regions,
  a rigid zone and  a viscous zone.
  We propose a method of lines with the time as a discrete
  variable. We prove that the method is well defined, a monotone
  property,  and a convergence theorem. Behavior of the numerical
  solution  and numerical experiments are  presented at the end
  of this work.
  
Submitted December 15, 2001. Published June 21, 2002.
Math Subject Classifications: 35A40, 35B40, 35R35, 65M20, 65N40.
Key Words: Bingham fluid; straight lines; non-newtonian fluids.