Thursday, February 12, 2015 2:30 pm
-
2:30 pm
EST (GMT -05:00)
²Ñ°äÌý5417Ìý{Old numberingÌýMCÌý5136A}
Speaker
¶Ù°ù.Ìý°³ó²¹¾±Ìý°Õ.Ìý±·²µ³Ü²â±ð²Ô
Department
of
Mathematics,
Penn
State
University,
USA
Title
Conservation laws and some applications to traffic flows
Abstract
Ìý
In
this
talk,
I
will
introduce
a
new
class
of
models
of
traffic
flow
on
a
network
of
roads.
In
these
models,
the
percentage
of
drivers
who
travel
along
an
incoming
road
and
wish
to
turn
into
an
outgoing
road
is
not
a
constant.
Moreover,
the
drivers
who
enter
a
congested
road
are
placed
in
a
buffer
of
limited
capacity,
waiting
their
turn
in
line.
The
main
goal
is
to
describe
traffic
flow
at
intersections
and
study
an
optimization
problem
on
a
network
of
roads.Ìý
I
will
present
our
results
on
well-posedness
and
robustness
of
the
equations
for
a
large
class
of
initial
data,
and
the
existence
of
globally
optimal
solutions,
Nash
equilibrium
solutions
for
a
decision
problem
involving
a
continuum
of
drivers
on
the
network.