On a class of two-dimensional flows of a dipolar incompressible fluid
N. Ch. Pattabhi Ramacharyulu (1973)
Applicationes Mathematicae
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N. Ch. Pattabhi Ramacharyulu (1973)
Applicationes Mathematicae
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R. Finn (1965)
Annales Polonici Mathematici
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El Shehawey, El Sayed F., El Sebaei, Wahed A. F. (2001)
International Journal of Mathematics and Mathematical Sciences
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El-Shehawey, E.F., Elbarbary, Elsayed M.E., Afifi, N.A.S., Elshahed, Mostafa (2000)
International Journal of Mathematics and Mathematical Sciences
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Erdoğan, M.Emin, İmrak, C.Erdem (2008)
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George Avalos, Matthew Dvorak (2008)
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We consider a coupled PDE model of various fluid-structure interactions seen in nature. It has recently been shown by the authors [Contemp. Math. 440, 2007] that this model admits of an explicit semigroup generator representation 𝓐:D(𝓐)⊂ H → H, where H is the associated space of fluid-structure initial data. However, the argument for the maximality criterion was indirect, and did not provide for an explicit solution Φ ∈ D(𝓐) of the equation (λI-𝓐)Φ =F for given F ∈ H and λ > 0....
Rathod, V.P., Asha, S.K. (2011)
Journal of Applied Mathematics
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El Shehawey, Elsayed F., El Sebaei, Wahed (2000)
International Journal of Mathematics and Mathematical Sciences
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Ghosh, A.K., Paul, S., Debnath, Lokenath (2002)
International Journal of Mathematics and Mathematical Sciences
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Fernando Carapau, Adélia Sequeira (2008)
Banach Center Publications
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Using a one-dimensional hierarchical model based on the Cosserat theory approach to fluid dynamics we can reduce the full 3D system of equations for the axisymmetric unsteady motion of a non-Newtonian incompressible second-grade viscous fluid to a system of equations depending on time and on a single spatial variable. From this new system we obtain the steady relationship between average pressure gradient and volume flow rate over a finite section of a straight constricted tube, and...
Erdoğan, M.Emin, Ịmrak, C.Erdem (2007)
Mathematical Problems in Engineering
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