A mathematical model for core-annular flows with surfactants.
Kas-Danouche, S., Papageorgiou, D., Siegel, M. (2004)
Divulgaciones Matemáticas
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Kas-Danouche, S., Papageorgiou, D., Siegel, M. (2004)
Divulgaciones Matemáticas
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Kas-Danouche, Said (2007)
Boletín de la Asociación Matemática Venezolana
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Stanislav Antontsev, Jesús Ildefonso Díaz (2007)
RACSAM
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We study the boundary layer approximation of the, already classical, mathematical model which describes the discharge of a laminar hot gas in a stagnant colder atmosphere of the same gas. We start by proving the existence and uniqueness of solutions of the nondegenerate problem under assumptions implying that the temperature T and the horizontal velocity u of the gas are strictly positive: T ≥ δ > 0 and u ≥ ε > 0 (here δ and ε are given as boundary conditions in the external...
Calugaru, Cerasela-Iliana, Calugaru, Dan-Gabriel, Crolet, Jean-Marie, Panfilov, Michel (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Nevena D. Stevanović, Vladan D. Djordjević (2012)
Publications de l'Institut Mathématique
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Christophe Lacave (2009)
Journées Équations aux dérivées partielles
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We present here the results concerning the influence of a thin obstacle on the behavior of incompressible flow. We extend the works made by Itimie, Lopes Filho, Nussenzveig Lopes and Kelliher where they consider that the obstacle shrinks to a point. We begin by working in two-dimension, and thanks to complex analysis we treat the case of ideal and viscous flows around a curve. Next, we consider three-dimensional viscous flow in the exterior of a surface/curve. We finish by giving uniqueness...
Calugaru, Cerasela I., Calugaru, Dan-Gabriel, Crolet, Jean-Marie, Panfilov, Michel (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Macherla Vasudevaiah, Kumbakonam R. Rajagopal (2005)
Applications of Mathematics
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Stokes recognized that the viscosity of a fluid can depend on the normal stress and that in certain flows such as flows in a pipe or in channels under normal conditions, this dependence can be neglected. However, there are many other flows, which have technological significance, where the dependence of the viscosity on the pressure cannot be neglected. Numerous experimental studies have unequivocally shown that the viscosity depends on the pressure, and that this dependence can be quite...
Gireesha, B.J., Venkatesh, P., Bagewadi, C.S. (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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