BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Blow-up solution for the Complex Ginzburg-Landau equation in some
critical case
DTSTART;VALUE=DATE-TIME:20180524T144000Z
DTEND;VALUE=DATE-TIME:20180524T153000Z
DTSTAMP;VALUE=DATE-TIME:20211020T130548Z
UID:indico-contribution-2946-1705@indico.math.cnrs.fr
DESCRIPTION:Speakers: Hatem Zaag ()\nWe construct a solution for the Compl
ex Ginzburg-Landau (CGL) equation in some critical case\, which blows up i
n finite time T only at one blow-up point. We also give a sharp descriptio
n of its profile. The proof relies on the reduction of the problem to a fi
nite dimensional one\, and the use of index theory to conclude. The interp
retation of the parameters of the finite dimension problem in terms of the
blow-up point and time allows to prove the stability of the constructed s
olution.\n\nhttps://indico.math.cnrs.fr/event/2946/contributions/1705/
LOCATION:Laboratoire Paul Painlevé Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/2946/contributions/1705/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dynamics of strongly interacting unstable two-solitons for general
ized Korteweg-de Vries equations
DTSTART;VALUE=DATE-TIME:20180524T132000Z
DTEND;VALUE=DATE-TIME:20180524T141000Z
DTSTAMP;VALUE=DATE-TIME:20211020T130548Z
UID:indico-contribution-2946-1706@indico.math.cnrs.fr
DESCRIPTION:Speakers: Jacek Jendrej ()\nMany evolution PDEs admit special
solutions\, called solitons\, whose shape does not change in time. A multi
-soliton is a solution which is close to a superposition of a finite numbe
r K of solitons placed at a large distance from each other. I am intereste
d in describing multi-soliton dynamics for generalized Korteweg-de Vries e
quations. I will present a general method of formally predicting the time
evolution of the centers and velocities of each soliton. Then I will discu
ss in detail the case K = 2\, in particular in the regime of strong intera
ctions\, which occurs when the velocities of both solitons converge to the
same value for large times. Under the additional assumption that the soli
tons are linearly unstable\, one can show that the formal method correctly
predicts the distance between the solitons for large times. I will outlin
e this proof.\n\nhttps://indico.math.cnrs.fr/event/2946/contributions/1706
/
LOCATION:Laboratoire Paul Painlevé Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/2946/contributions/1706/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Minimal mass blow-up solutions of the L^2 critical NLS with invers
e-square potential
DTSTART;VALUE=DATE-TIME:20180525T095000Z
DTEND;VALUE=DATE-TIME:20180525T104000Z
DTSTAMP;VALUE=DATE-TIME:20211020T130548Z
UID:indico-contribution-2946-1707@indico.math.cnrs.fr
DESCRIPTION:Speakers: François Genoud ()\nhttps://indico.math.cnrs.fr/eve
nt/2946/contributions/1707/
LOCATION:Laboratoire Paul Painlevé Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/2946/contributions/1707/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Spectral stability of inviscid columnar vortices
DTSTART;VALUE=DATE-TIME:20180525T090000Z
DTEND;VALUE=DATE-TIME:20180525T095000Z
DTSTAMP;VALUE=DATE-TIME:20211020T130548Z
UID:indico-contribution-2946-1708@indico.math.cnrs.fr
DESCRIPTION:Speakers: Didier Smets ()\nColumnar vortices are stationary so
lutions of the three-dimensional Euler equations with axial symmetry\, whe
re the velocity field only depends on the distance to the axis and has no
component in the axial direction. Stability of such flows was first invest
igated by Lord Kelvin in 1880\, but the only analytical results available
so far provide necessary conditions for instability under either planar or
axisymmetric perturbations. In this talk I will discuss a recent work wi
th Thierry Gallay in which we show that columnar vortices are spectrally s
table with respect to three-dimensional perturbations with no particular s
ymmetry.\n\nhttps://indico.math.cnrs.fr/event/2946/contributions/1708/
LOCATION:Laboratoire Paul Painlevé Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/2946/contributions/1708/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On the Lowest Landau Level equation
DTSTART;VALUE=DATE-TIME:20180522T151000Z
DTEND;VALUE=DATE-TIME:20180522T160000Z
DTSTAMP;VALUE=DATE-TIME:20211020T130548Z
UID:indico-contribution-2946-1709@indico.math.cnrs.fr
DESCRIPTION:Speakers: Laurent Thomann ()\nWe study the Lowest Landau Level
equation with time evolution. This model is used in the description of fa
st rotating Bose-Einstein condensates. Using argument coming from the theo
ry of the holomorphic functions\, we provide a classification of the stati
onnary solutions. We also prove some stability results. This is a work in
collaboration with Patrick Gérard (Paris-Sud) and Pierre Germain (Courant
Institute).\n\nhttps://indico.math.cnrs.fr/event/2946/contributions/1709/
LOCATION:Laboratoire Paul Painlevé Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/2946/contributions/1709/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Smooth branch of travelling waves in the Gross-Pitaevskii equation
for small speed
DTSTART;VALUE=DATE-TIME:20180522T142000Z
DTEND;VALUE=DATE-TIME:20180522T151000Z
DTSTAMP;VALUE=DATE-TIME:20211020T130548Z
UID:indico-contribution-2946-1710@indico.math.cnrs.fr
DESCRIPTION:Speakers: David Chiron ()\nWe shall consider the Gross-Pitaevs
kii equation in the plane. This model is known to have a branch of travell
ing waves (the Jones-Roberts branch). Variational methods have already bee
n used to yield existence results for this branch. Up to now\, the questio
n of smooth dependency with respect to the speed was not rigorously proved
. We shall present a result showing the existence of a smooth branch for s
mall speed. This is a joint work with Eliot Pacherie.\n\nhttps://indico.ma
th.cnrs.fr/event/2946/contributions/1710/
LOCATION:Laboratoire Paul Painlevé Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/2946/contributions/1710/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Construction and interaction of solitons for NLS equations (Part 1
)
DTSTART;VALUE=DATE-TIME:20180522T122000Z
DTEND;VALUE=DATE-TIME:20180522T135500Z
DTSTAMP;VALUE=DATE-TIME:20211020T130548Z
UID:indico-contribution-2946-1711@indico.math.cnrs.fr
DESCRIPTION:Speakers: Yvan Martel ()\nWe will review some results on the c
onstruction and interaction of solitary waves for nonlinear Schrödinger e
quations with power nonlinearity. After discussing briefly the well-known
question of stability of single solitary waves\, we will present a short p
roof of existence of multi-solitary waves in the case of weak interactions
. Then\, in the sub-critical and super-critical cases\, we will show the e
xistence of multi-solitary waves with logarithmic distance in time (case o
f strong interaction).\n\nhttps://indico.math.cnrs.fr/event/2946/contribut
ions/1711/
LOCATION:Laboratoire Paul Painlevé Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/2946/contributions/1711/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dynamics of vortex filaments (Part 1)
DTSTART;VALUE=DATE-TIME:20180524T070000Z
DTEND;VALUE=DATE-TIME:20180524T083500Z
DTSTAMP;VALUE=DATE-TIME:20211020T130548Z
UID:indico-contribution-2946-1712@indico.math.cnrs.fr
DESCRIPTION:Speakers: Valeria Banica ()\nIn this lectures I shall present
first the known models for dynamics of vortex filaments. Then I shall focu
s on the binormal flow model and on its link with the 1-D cubic nonlinear
Schrödinger equation. Finally I shall describe several frameworks of form
ation of singularities in finite time\, both at the level of the binormal
flow and at the level of the Schrödinger equation.\n\nhttps://indico.math
.cnrs.fr/event/2946/contributions/1712/
LOCATION:Laboratoire Paul Painlevé Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/2946/contributions/1712/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Construction and interaction of solitons for NLS equations (Part 2
)
DTSTART;VALUE=DATE-TIME:20180523T070000Z
DTEND;VALUE=DATE-TIME:20180523T083500Z
DTSTAMP;VALUE=DATE-TIME:20211020T130548Z
UID:indico-contribution-2946-1713@indico.math.cnrs.fr
DESCRIPTION:Speakers: Yvan Martel ()\nWe will review some results on the c
onstruction and interaction of solitary waves for nonlinear Schrödinger e
quations with power nonlinearity. After discussing briefly the well-known
question of stability of single solitary waves\, we will present a short p
roof of existence of multi-solitary waves in the case of weak interactions
. Then\, in the sub-critical and super-critical cases\, we will show the e
xistence of multi-solitary waves with logarithmic distance in time (case o
f strong interaction).\n\nhttps://indico.math.cnrs.fr/event/2946/contribut
ions/1713/
LOCATION:Laboratoire Paul Painlevé Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/2946/contributions/1713/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Long time regularity of the 2D Euler-Poisson system for electrons
with vorticity
DTSTART;VALUE=DATE-TIME:20180523T095000Z
DTEND;VALUE=DATE-TIME:20180523T104000Z
DTSTAMP;VALUE=DATE-TIME:20211020T130548Z
UID:indico-contribution-2946-1714@indico.math.cnrs.fr
DESCRIPTION:Speakers: Oana Pocovnicu ()\nThe Euler-Poisson system for elec
trons is one of the simplest two-fluid models used to describe the dynamic
s of a plasma. From the point of view of analysis\, it can be reformulated
as a system consisting of a quasilinear hyperbolic PDE coupled with a tra
nsport-type PDE. In this talk\, we will discuss the long time existence fo
r the two-dimensional Euler-Poisson system\, with a particular attention t
o the dependence of the time of existence on the size of the vorticity. Th
is talk is based on joint work with A. Ionescu (Princeton).\n\nhttps://ind
ico.math.cnrs.fr/event/2946/contributions/1714/
LOCATION:Laboratoire Paul Painlevé Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/2946/contributions/1714/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Schrödinger equations with full or partial harmonic potentials\,
existence and stability results
DTSTART;VALUE=DATE-TIME:20180523T090000Z
DTEND;VALUE=DATE-TIME:20180523T095000Z
DTSTAMP;VALUE=DATE-TIME:20211020T130548Z
UID:indico-contribution-2946-1715@indico.math.cnrs.fr
DESCRIPTION:Speakers: Louis Jeanjean ()\nhttps://indico.math.cnrs.fr/event
/2946/contributions/1715/
LOCATION:Laboratoire Paul Painlevé Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/2946/contributions/1715/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stability of multi-solitons for the derivative nonlinear Schrödin
ger equation
DTSTART;VALUE=DATE-TIME:20180523T132000Z
DTEND;VALUE=DATE-TIME:20180523T141000Z
DTSTAMP;VALUE=DATE-TIME:20211020T130548Z
UID:indico-contribution-2946-1716@indico.math.cnrs.fr
DESCRIPTION:Speakers: Stefan Le Coz ()\nThe nonlinear Schrödinger equatio
n with derivative cubic nonlinearity (dNLS) is a model quasilinear dispers
ive equation. It admits a family of solitons\, which are orbitally stable
in the energy space. After a review of the many interesting properties of
dNLS\, we will present a result of orbital stability of multi-solitons con
figurations in the energy space\, and some ingredients of the proof.\n\nht
tps://indico.math.cnrs.fr/event/2946/contributions/1716/
LOCATION:Laboratoire Paul Painlevé Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/2946/contributions/1716/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A rigidity result for the Camassa-Holm equation
DTSTART;VALUE=DATE-TIME:20180523T123000Z
DTEND;VALUE=DATE-TIME:20180523T132000Z
DTSTAMP;VALUE=DATE-TIME:20211020T130548Z
UID:indico-contribution-2946-1717@indico.math.cnrs.fr
DESCRIPTION:Speakers: Luc Molinet ()\nThe Camassa-Holm equation possesses
peaked solitary waves called peakons. We prove a Liouville property for un
iformly almost localized (up to translations) $H^1$-global solutions of th
e Camassa-Holm equation with a momentum density that is a non negative fin
ite measure. More precisely\, we show that such solution has to be a peako
n. As a consequence\, we prove that peakons are asymptotically stable in t
he class of $H^1$-functions with a momentum density that is a non negative
finite measure.\n\nhttps://indico.math.cnrs.fr/event/2946/contributions/1
717/
LOCATION:Laboratoire Paul Painlevé Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/2946/contributions/1717/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Sine-Gordon regime of the Landau-Lifshitz equation
DTSTART;VALUE=DATE-TIME:20180524T090000Z
DTEND;VALUE=DATE-TIME:20180524T095000Z
DTSTAMP;VALUE=DATE-TIME:20211020T130548Z
UID:indico-contribution-2946-1718@indico.math.cnrs.fr
DESCRIPTION:Speakers: Philippe Gravejat ()\nThe Landau-Lifshitz equation g
ives account of the dynamics of magnetization in ferromagnetic materials.
The goal of this talk is to describe a long-wave regime for this equation
in which it behaves as the Sine-Gordon equation. This is joint work with A
ndré de Laire (University of Lille).\n\nhttps://indico.math.cnrs.fr/event
/2946/contributions/1718/
LOCATION:Laboratoire Paul Painlevé Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/2946/contributions/1718/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A sharpened Strichartz inequality for the wave equation
DTSTART;VALUE=DATE-TIME:20180523T144000Z
DTEND;VALUE=DATE-TIME:20180523T153000Z
DTSTAMP;VALUE=DATE-TIME:20211020T130548Z
UID:indico-contribution-2946-1719@indico.math.cnrs.fr
DESCRIPTION:Speakers: Giuseppe Negro ()\nIn 2004\, Foschi found the best c
onstant\, and the extremizing functions\, for the Strichartz inequality fo
r the wave equation with data in the Sobolev space $\\dot{H}^{1/2} \\times
\\dot{H}^{-1/2} (\\mathbf{R}^3)$. We refine this inequality\, by adding a
term proportional to the distance of the initial data from the set of ext
remizers. Foschi also formulated a conjecture\, concerning the extremizers
to this Strichartz inequality in all spatial dimensions $d\\ge 2$. We dis
prove such conjecture for even $d$\, but we provide evidence to support it
for odd $d$. The proofs use the conformal compactification of the Minkows
ki space-time given by the Penrose transform.\n\nhttps://indico.math.cnrs.
fr/event/2946/contributions/1719/
LOCATION:Laboratoire Paul Painlevé Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/2946/contributions/1719/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Solving the 4NLS with white noise initial data
DTSTART;VALUE=DATE-TIME:20180524T123000Z
DTEND;VALUE=DATE-TIME:20180524T132000Z
DTSTAMP;VALUE=DATE-TIME:20211020T130548Z
UID:indico-contribution-2946-1720@indico.math.cnrs.fr
DESCRIPTION:Speakers: Nikolay Tzvetkov ()\nWe will consider the fourth ord
er Nonlinear Schrödinger equation\, posed on the circle\, with initial da
ta distributed according to the white noise. This problem is well posed fo
r smooth initial data. It is therefore natural to consider the sequence of
smooth solutions with data distributed according regularisations (by conv
olution) of the white noise. We show that a renormalisation of this sequen
ce converges to a unique limit. The limit has the white noise as an invari
ant measure. The proof shares some features with the modified scattering t
heory which received a lot of attention in the PDE community. As a consequ
ence the solution has a more intricate singular part compared to the large
body of literature on probabilistic well-posedness for dispersive PDE's.
This is a joint work with Tadahiro Oh and Yuzhao Wang.\n\nhttps://indico.m
ath.cnrs.fr/event/2946/contributions/1720/
LOCATION:Laboratoire Paul Painlevé Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/2946/contributions/1720/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dynamics of vortex filaments (Part 2)
DTSTART;VALUE=DATE-TIME:20180525T070000Z
DTEND;VALUE=DATE-TIME:20180525T083500Z
DTSTAMP;VALUE=DATE-TIME:20211020T130548Z
UID:indico-contribution-2946-1721@indico.math.cnrs.fr
DESCRIPTION:Speakers: Valeria Banica ()\nIn this lectures I shall present
first the known models for dynamics of vortex filaments. Then I shall focu
s on the binormal flow model and on its link with the 1-D cubic nonlinear
Schrödinger equation. Finally I shall describe several frameworks of form
ation of singularities in finite time\, both at the level of the binormal
flow and at the level of the Schrödinger equation.\n\nhttps://indico.math
.cnrs.fr/event/2946/contributions/1721/
LOCATION:Laboratoire Paul Painlevé Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/2946/contributions/1721/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Normal form approach to well-posedness of nonlinear dispersive PDE
s
DTSTART;VALUE=DATE-TIME:20180524T095000Z
DTEND;VALUE=DATE-TIME:20180524T104000Z
DTSTAMP;VALUE=DATE-TIME:20211020T130548Z
UID:indico-contribution-2946-1722@indico.math.cnrs.fr
DESCRIPTION:Speakers: Tadahiro Oh ()\nHarmonic analysis has played a cruci
al role in the well-posedness theory of nonlinear dispersive PDEs such as
the nonlinear Schrödinger equations (NLS). In this talk\, we present an a
lternative method to prove well-posedness of nonlinear dispersive PDEs whi
ch avoids a heavy machinery from harmonic analysis. As a primary example\,
we study the Cauchy problem for the one-dimensional NLS on the real line.
We implement an infinite iteration of normal form reductions (namely\, in
tegration by parts in time) and reformulate the equation in terms of an in
finite series of multilinear terms of arbitrarily large degrees. By establ
ishing a simple trilinear estimate and applying it in an iterative manner\
, we establish enhanced uniqueness of NLS in almost critical spaces.\n\nht
tps://indico.math.cnrs.fr/event/2946/contributions/1722/
LOCATION:Laboratoire Paul Painlevé Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/2946/contributions/1722/
END:VEVENT
END:VCALENDAR