Displaying similar documents to “Papers of Mr. Charles Chree on Vortices in a Compressible and Rotating Fluid.”

A new maximality argument for a coupled fluid-structure interaction, with implications for a divergence-free finite element method

George Avalos, Matthew Dvorak (2008)

Applicationes Mathematicae

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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....

1D dynamics of a second-grade viscous fluid in a constricted tube

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...