6 M ay 2 00 2 Flows , coalescence and noise

2 00 2 Flows , coalescence and noise

We are interested in stationary “fluid” random evolutions with independent increments. Under some mild assumptions, we show they are solutions of a stochastic differential equation (SDE). There are situations where these evolutions are not described by flows of diffeomorphisms, but by coalescing flows or by flows of probability kernels. In an intermediate phase, for which there exists a coalesc...

2 6 M ay 2 00 4 On Schrödinger Flows to the Hyperbolic 2 - Space

More recently, the local well-posedness of the Cauchy problem of the Schrödinger flow of maps from R2 to H2, the hyperbolic 2-space, was proved in [28]. In this paper, we display a blow-up result of solutions to such a Schrödinger flow. This shows a widely believed assertion that solutions to Schrödinger flows may blow up in finite time in general when the dimensions of starting manifolds are g...

0 M ay 2 00 6 On Taylor dispersion in oscillatory channel flows

We revisit Taylor dispersion in oscillatory flows at zero Reynolds number, giving an alternative method of calculating the Taylor dispersivity that is easier to use with computer algebra packages to obtain exact expressions. We consider the effect of out-of-phase oscillatory shear and Poiseuille flow, and show that the resulting Taylor dispersivity is independent of the phase difference. We als...

Spatial Patterns in Chemically and Biologically Reacting Flows

X iv :n lin /0 20 50 09 v1 [ nl in .C D ] 6 M ay 2 00 2 Spatial Patterns in Chemically and Biologically Reacting Flows Emilio Hernández-Garćıa1∗ , Cristóbal López, and Zoltán Neufeld IMEDEA (CSIC-UIB) Instituto Mediterráneo de Estudios Avanzados, Campus Universitat de les Illes Balears E-07071 Palma de Mallorca, Spain 2 Dipartimento di Fisica, Università di Roma ‘La Sapienza’, P.le A. Moro 2, I...

2 6 M ay 2 00 6 Some Remarks on the Local Fundamental Group Scheme