Toward a mathematical analysis for a model of suspension flowing down an inclined plane
Matsue, Kaname; Tomoeda, Kyoko
- Proceedings of Equadiff 14, Publisher: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing(Bratislava), page 349-358
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topMatsue, Kaname, and Tomoeda, Kyoko. "Toward a mathematical analysis for a model of suspension flowing down an inclined plane." Proceedings of Equadiff 14. Bratislava: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, 2017. 349-358. <http://eudml.org/doc/294890>.
@inProceedings{Matsue2017,
abstract = {We consider the Riemann problem of the dilute approximation equations with spatiotemporally dependent volume fractions from the full model of suspension, in which the particles settle to the solid substrate and the clear liquid film flows over the sediment [Murisic et al., J. Fluid. Mech. 717, 203–231 (2013)]. We present a method to find shock waves, rarefaction waves for the Riemann problem of this system. Our method is mainly based on [Smoller, Springer-Verlag, New York, second edition, (1994)].},
author = {Matsue, Kaname, Tomoeda, Kyoko},
booktitle = {Proceedings of Equadiff 14},
keywords = {Hyperbolic conservation law, Riemann problem, shock wave, rarefaction, suspension, dilute approximation},
location = {Bratislava},
pages = {349-358},
publisher = {Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing},
title = {Toward a mathematical analysis for a model of suspension flowing down an inclined plane},
url = {http://eudml.org/doc/294890},
year = {2017},
}
TY - CLSWK
AU - Matsue, Kaname
AU - Tomoeda, Kyoko
TI - Toward a mathematical analysis for a model of suspension flowing down an inclined plane
T2 - Proceedings of Equadiff 14
PY - 2017
CY - Bratislava
PB - Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing
SP - 349
EP - 358
AB - We consider the Riemann problem of the dilute approximation equations with spatiotemporally dependent volume fractions from the full model of suspension, in which the particles settle to the solid substrate and the clear liquid film flows over the sediment [Murisic et al., J. Fluid. Mech. 717, 203–231 (2013)]. We present a method to find shock waves, rarefaction waves for the Riemann problem of this system. Our method is mainly based on [Smoller, Springer-Verlag, New York, second edition, (1994)].
KW - Hyperbolic conservation law, Riemann problem, shock wave, rarefaction, suspension, dilute approximation
UR - http://eudml.org/doc/294890
ER -
References
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- HASH(0x18aeb08), [unknown], [4] N. Murisic, B. Pausader, D. Peschka, A. L. Bertozzi, //Dynamics of particle settling and resuspension in viscous liquids/, J. Fluid Mech. 717 203–231, (2013). MR3018604
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- Smoller, J., Shock waves and reaction-diffusion equations, , Grundlehren der Mathematischen Wissenschaften (Fundamental Principles of Mathematical Sciences), 258 Vol. 258, Springer-Verlag, New York, second edition, (1994). MR1301779
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