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PROF. MARGARET BECK,
DEPT. OF MATHEMATICS, BOSTON UNIVERSITY
Vortices and the
Navier-Stokes equation:
understanding solutions of equations
that we can't actually solve
PUBLIC LECTURE 27.3.2015,17.00
HAUS DER WISSENSCHAFT
Haus der Wissenschaft Bremen
Sandstraße 4/5
27.3.2015, 17-19h
Eintritt frei
!
Mathematics plays a fundamental
role in helping us understand
everyday phenomena.
This is often done by writing down
an equation that models that
phenomenon and analyzing that
equation, rather than
experimentally studying the
original physical system. But often
we cannot actually solve these
equations - so why are they
useful? For example, many
different types of fluids can be
modeled using the Navier-Stokes
equation. Moreover, such fluids
tend to exhibit vortices, or regions
where the fluid spins - think of the
eye of a hurricane, or the great red
spot in Jupiter's atmosphere. Why
are vortices so ubiquitous?
Although we cannot write down
an explicit formula for the solution
of the Navier-Stokes equation (and
sometimes we can't even prove a
unique solution exists!), this
equation can still be used to
explain why we see so many
vortices. In this talk, we will see
several examples of how to
understand the behavior of
solutions to equations, without
actually writing down a formula for
the solutions themselves.
The lecture is part of the International Winter School and Symposium"Diffusion on fractals and nonlinear dynamics"
at the University of Bremen, Fachbereich Mathematik und Informatik

Poster (with abstract) to the public lecture on 2015/03/27 at Haus der Wissenschaft as part of the winter school and symposium "Diffusion on fractals and nonlinear dynamics"
Poster (with abstract) to the public lecture on 2015/03/27 at Haus der Wissenschaft as part of the winter school and symposium "Diffusion on fractals and nonlinear dynamics"


 



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