BEGIN:VCALENDAR
PRODID:-//PSU Mathematics Department//Seminar iCalendar Generator//EN
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CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:Hyperbolic and Mixed Type PDEs Seminar
X-WR-TIMEZONE:America/New_York
BEGIN:VTIMEZONE
TZID:America/New_York
X-LIC-LOCATION:America/New_York
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:19700308T020000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:19701101T020000
RRULE:FREQ=YEARLY;BYMONTH=11;BYDAY=1SU
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150825T100000
DTEND;TZID=America/New_York:20150825T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27382
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150827T100000
DTEND;TZID=America/New_York:20150827T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27383
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150901T100000
DTEND;TZID=America/New_York:20150901T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27384
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150903T100000
DTEND;TZID=America/New_York:20150903T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27385
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150908T100000
DTEND;TZID=America/New_York:20150908T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27386
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150910T100000
DTEND;TZID=America/New_York:20150910T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27387
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150915T100000
DTEND;TZID=America/New_York:20150915T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27388
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - Whole supersonic solutions
of the steady Euler equations up to a sonic curve\, continued
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: Whole s
upersonic solutions of the steady Euler equations up to a sonic curve\, co
ntinued\nSpeaker: Joe Roberts\, Penn State\nAbstract: Despite a long histo
ry\, few exact solutions to the transonic Euler equations in two space dim
ensions are known. Ringleb's flow is the most well known exact transonic
solution\; it is an explicit solution obtained in the Hodograph plane by s
eparation of variables. Our goal is to prove existence of qualitatively s
imilar solutions to Ringleb's flow. Starting with initial data in the sup
ersonic region\, we prove existence of a solution up to a sonic curve. Ch
aracteristic decompositions yield a priori estimates that allow the extens
ion of a local solution to a ''whole'' solution\, and a change of independ
ent variables is used to analyze the regularity at the sonic line\, where
the hyperbolicity of the system breaks down. Finally\, the monotonicity o
f a certain quantity along potential lines can be used to show qualitative
ly similar behavior to a portion of Ringleb's flow. These results could b
e a stepping stone to obtaining a global transonic solution for channel fl
ow problems\, and the analysis may prove useful in the study of the two-di
mensional Riemann problem for the pseudo-steady case. This is joint work w
ith Yuxi Zheng.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150917T100000
DTEND;TZID=America/New_York:20150917T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27389
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150922T100000
DTEND;TZID=America/New_York:20150922T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27390
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150924T100000
DTEND;TZID=America/New_York:20150924T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27391
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150929T100000
DTEND;TZID=America/New_York:20150929T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27392
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151001T100000
DTEND;TZID=America/New_York:20151001T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27393
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151006T100000
DTEND;TZID=America/New_York:20151006T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27394
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151008T100000
DTEND;TZID=America/New_York:20151008T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27395
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151013T100000
DTEND;TZID=America/New_York:20151013T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27396
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - Solving differential games
by PDE methods
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: Solving
differential games by PDE methods\nSpeaker: Alberto Bressan\, The Pennsyl
vania State University\nAbstract: Non-cooperative differential games are c
ommonly used in economics and management science\, to model competitive in
teractions between two or more agents\, in continuous time.\n\n For such g
ames\, one usually looks for a Nash equilibrium\, where the strategy adopt
ed by each player is a best reply to the strategies implemented by all oth
er players. Nash equilibrium in feedback form can be found by solving a sy
stem of Hamilton-Jacobi PDEs\, describing the value functions for the vari
ous players.\n\n In this introductory talk\, I shall explain how to deriv
e these PDEs\, and what are the main difficulties toward their solution. I
n particular\, I shall review the standard way to solve LQ games (with li
near dynamics and quadratic costs) and discuss their stability w.r.t. nonl
inear perturbations.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151015T100000
DTEND;TZID=America/New_York:20151015T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27397
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151020T100000
DTEND;TZID=America/New_York:20151020T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27398
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - Continuous dependence on t
he density for steady stratified water waves
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: Continu
ous dependence on the density for steady stratified water waves\nSpeaker:
Ming Chen\, University of pittsburgh\nAbstract: There are two distinct reg
imes commonly used to model traveling waves in\nstratified water: continuo
us stratification\, where the density is smooth\nthroughout the fluid\, an
d layer-wise continuous stratification\, where the\nfluid consists of mult
iple immiscible strata. The former is the more\nphysically accurate descri
ption\, but the latter is frequently more\namenable to analysis and comput
ation. By the conservation of mass\, the\ndensity is constant along the st
reamlines of the flow\; the stratification\ncan therefore be specified by
prescribing the value of the density on each\nstreamline. We call this the
streamline density function. Intuitively\nspeaking\, one expects that it
is possible to use layer-wise smooth waves\n(for which the streamline dens
ity function is piecewise smooth) to\napproximate smoothly stratified wave
s (for which the streamline density\nfunction is of course smooth).\n\nIn
this talk\, we will discuss some recent work in this direction. Our main\n
result states that\, for every smoothly stratified periodic traveling wave
\nin a certain small-amplitude regime\, there is an $L^\\infty$ neighborho
od\nof its streamline density function such that\, for any piecewise smoot
h\nstreamline density function in that neighborhood\, there is a correspon
ding\ntraveling wave solution. Moreover\, the mapping from streamline dens
ity\nfunction to wave is Lipschitz continuous in a certain function space
\nframework. As this neighborhood includes piecewise smooth densities with
\narbitrarily many jump discontinues\, this theorem provides a rigorous\nj
ustification for the ubiquitous practice of approximating a smoothly\nstra
tified wave by a layered one.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151022T100000
DTEND;TZID=America/New_York:20151022T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27399
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151027T100000
DTEND;TZID=America/New_York:20151027T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27400
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151029T100000
DTEND;TZID=America/New_York:20151029T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27401
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151103T100000
DTEND;TZID=America/New_York:20151103T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27402
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151105T100000
DTEND;TZID=America/New_York:20151105T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27403
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151110T100000
DTEND;TZID=America/New_York:20151110T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27404
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151112T100000
DTEND;TZID=America/New_York:20151112T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27405
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151117T100000
DTEND;TZID=America/New_York:20151117T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27406
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151119T100000
DTEND;TZID=America/New_York:20151119T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27407
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151124T100000
DTEND;TZID=America/New_York:20151124T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27408
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151126T100000
DTEND;TZID=America/New_York:20151126T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27409
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151201T100000
DTEND;TZID=America/New_York:20151201T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27410
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151203T100000
DTEND;TZID=America/New_York:20151203T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27411
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151208T100000
DTEND;TZID=America/New_York:20151208T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27412
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20151210T100000
DTEND;TZID=America/New_York:20151210T110000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=27413
SUMMARY:Hyperbolic and Mixed Type PDEs Seminar - TBA
DESCRIPTION:Seminar: Hyperbolic and Mixed Type PDEs Seminar\nTitle: TBA\nAb
stract Link: http://
END:VEVENT
END:VCALENDAR