Geodesic
Method of straight lines for a Bingham problem
Electronic Journal of Differential Equations, Tome 2002 (2002).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35A40, 35B40, 35R35, 65M20, 65N40
Keywords: Bingham fluid, straight lines, non-Newtonian fluids 
@article{EJDE_2002__2002__a184,
     author = {Torres, Germ\'an and Turner, Cristina},
     title = {Method of straight lines for a {Bingham} problem},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2002},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a184/}
}
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Torres, Germán; Turner, Cristina. Method of straight lines for a Bingham problem. Electronic Journal of Differential Equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a184/