fluid mechanics

Monday, November 2, 2015 - 3:30pm - 4:30pm
László Székelyhidi Jr. (Universität Leipzig)
Nash wrote three papers on isometric embeddings of Riemannian manifolds in the Euclidean space, which
Wednesday, May 13, 2015 - 2:25pm - 2:50pm
Dmitry Garagash (Dalhousie University)
Current understanding suggests that the energy required to propagate a hydraulic fracture is largely a function of the viscous fluid pressure drop distributed along the fracture channel, while the contribution to the energy dissipation from the immediate vicinity of the fracture front, referred to as the fracture toughness (fracture energy), is considered negligible.
Tuesday, May 12, 2015 - 3:35pm - 4:00pm
Mary Wheeler (The University of Texas at Austin)
Phase field modeling has been used for the past decade in modeling fractures in an elastic medium. In collaboration with Andro Mikelic, Thomas Wick, and Sanghyun Lee, we have extended this method to a fluid-driven fracture in a poroelastic medium. Here, the mathematical model represents a linear elasticity system with fading elastic moduli as the crack grows. It is coupled with an elliptic variational inequality for the phase field variable and with the pressure equation.
Monday, September 13, 2010 - 3:00pm - 3:30pm
Isaac Klapper (Montana State University)
Biofilms are often key players in human,
animal, and plant infections, fouling of industrial equipment, contamination
of water systems, as well as in waste remediation, not
even to mention their central roles in all geochemical cycles.
Viewed as materials, biofilms are quite interesting: they are living,
growing viscoelastic fluids with surprising ability to respond to
and defend against environmental challenges. However, they are also complex
systems in which biological, chemical, and physical factors are, in general,
Wednesday, October 14, 2009 - 2:15pm - 2:55pm
Claude Le Bris (CERMICS)
The talk will overview three recent works that make use of the notion of
free energy to establish mathematical properties of some complex fluid
models. The first work (in collaboration with B. Jourdain, T. Lelievre and
F. Otto) studies the long-time behaviour of the solution to some multiscale
models. The second work (by D. Hu and T. Lelievre) introduces a notion of
free energy for purely macroscopic models. The third work (by S. Boyaval,
T. Lelievre and C. Mangoubi) makes uses of the free energy to derive better
Wednesday, July 22, 2009 - 2:00pm - 2:50pm
Pierangelo Marcati (Università di L'Aquila)
It will be reviewed briefly various physical models leading to a
description based on Quantum Hydrodynamics: Superfluidity, BEC,
superconductivity, semiconductors and there will be recalled various
derivations of the PDE system.
The main result (joint with P. Antonelli) shows the global existence
of irrotational weak solutions with
the sole assumption of finite energy, without any smallness or any
further smoothness of the initial data.
The approach is based on various tools, namely the wave functions
Wednesday, July 29, 2009 - 11:00am - 11:50am
Joseph Jerome (Northwestern University)
Conservation laws, together with the Gauss law for electrostatics, have
been used to model charge transport in solid state semiconductors and in
electrolytes for several decades. The determination of the current density
is an important aspect of the modeling. In applications to ion channels,
and to electrodiffusion more generally, there has been recent interest in
the effects of the ambient fluid on current density. We discuss the mathematical model for this case:
the Poisson-Nernst-Planck/Navier-Stokes model.
Wednesday, August 5, 2009 - 11:20am - 11:40am
Robert Shuttleworth (ExxonMobil)


Tuesday, October 14, 2014 - 9:00am - 9:50am
John Carter (Seattle University)
In 1978, Hammack & Segur conducted a series of experiments showing
the evolution of finite-amplitude waves of depression. The
experiments were conducted in a long, narrow tank with a rectangular,
vertically moving wave maker at one end. Time series were collected
by gages located at five different positions down the tank. These
time series suggest that dispersion and dissipation play important
roles in the evolution of waves of depression. In this talk, we
examine the roles of dispersion and dissipation by comparing the
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