Geodesic
Method of straight lines for a Bingham problem
Electronic journal of differential equations, Tome 2002 (2002)
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__a84,
     author = {Torres,  Germ\'an and Turner,  Cristina},
     title = {Method of straight lines for a {Bingham} problem},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1007.35066},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a84/}
}
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AU  - Turner,  Cristina
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JO  - Electronic journal of differential equations
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VL  - 2002
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%A Torres,  Germán
%A Turner,  Cristina
%T Method of straight lines for a Bingham problem
%J Electronic journal of differential equations
%D 2002
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%F EJDE_2002__2002__a84
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__a84/