Biorthogonality condition for creeping motion in annular trenches.
Khuri, Suheil A. (2000)
International Journal of Mathematics and Mathematical Sciences
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Khuri, Suheil A. (2000)
International Journal of Mathematics and Mathematical Sciences
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David Hoff (2001)
Journées équations aux dérivées partielles
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We prove the global existence of solutions of the Navier-Stokes equations of compressible, barotropic flow in two space dimensions with piecewise smooth initial data. These solutions remain piecewise smooth for all time, retaining simple jump discontinuities in the density and in the divergence of the velocity across a smooth curve, which is convected with the flow. The strengths of these discontinuities are shown to decay exponentially in time, more rapidly for larger acoustic speeds...
Odasso, Cyril (2006)
Electronic Journal of Probability [electronic only]
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Zgliczyński, Piotr (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Surulescu, C. (2006)
Acta Mathematica Universitatis Comenianae. New Series
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Kohr, Mirela (2000)
Georgian Mathematical Journal
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David Gérard-Varet (2003)
Journées équations aux dérivées partielles
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We consider a rotating fluid in a domain with rough horizontal boundaries. The Rossby number, kinematic viscosity and roughness are supposed of characteristic size . We prove a convergence theorem on solutions of Navier-Stokes Coriolis equations, as goes to zero, in the well prepared case. We show in particular that the limit system is a two-dimensional Euler equation with a nonlinear damping term due to boundary layers. We thus generalize the results obtained on flat boundaries with...
Jonathan Mattingly (2003)
Journées équations aux dérivées partielles
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We give an overview of the ideas central to some recent developments in the ergodic theory of the stochastically forced Navier Stokes equations and other dissipative stochastic partial differential equations. Since our desire is to make the core ideas clear, we will mostly work with a specific example : the stochastically forced Navier Stokes equations. To further clarify ideas, we will also examine in detail a toy problem. A few general theorems are given. Spatial regularity, ergodicity,...
Isabelle Gallagher, Dragoş Iftimie, Fabrice Planchon (2002)
Journées équations aux dérivées partielles
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We study a priori global strong solutions of the incompressible Navier-Stokes equations in three space dimensions. We prove that they behave for large times like small solutions, and in particular they decay to zero as time goes to infinity. Using that result, we prove a stability theorem showing that the set of initial data generating global solutions is open.
Da Prato, Giuseppe, Debussche, Arnaud, Tubaro, Luciano (2007)
Electronic Communications in Probability [electronic only]
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