STABILITY of SOLITARY WAVES

WORKSHOP , Pisa, May 26-30, 2014

Scientific and Organizing Committee

Andrew Comech, Scipio Cuccagna, Vladimir Georgiev, Atanas Stefanov, Nicola Visciglia

and Anna Rita Giammetta

 
Program
 
 

 

  • 24 May - arrival day,
  • 25 May - sightseeings in Pisa,
  • working days Monday 26 May till Friday 30 May,
  • departure/sightseeings day 31 May

Detailed Program

26 May, Monday, Morning session: Aula Dini*

10:00 - 10:30
Registration and opening of the School
10:30 - 11:15
Israel Michael Sigal: Magnetic Vortices, Nielsen-Olesen - Nambu strings and automorphic functions
11:15 - 12:00
Avy Soffer:Long Range Scattering for the Klein-Gordon equation with nonhomogeneous nonlinearities

26 May, Monday, Afernoon session: lectures in Aula Dini, working in groups Aula Dini*, Lecture room** and Meeting room***

14:00 - 14:45 Panos Kevrekidis: Dynamics of Vortices in Bose-Einstein Condensates: some recent developments
15:00 - 15:45 Nabile Boussaid: On the spectral (in)stability of nonlinear Dirac equations
15:45 - 16:15 Coffee - break and discussions
16:15 - 17:00 Benoit Pausader:The Euler-Maxwell system
17:15 - 18:00 Tuoc Phan: Asymptotic stability of solitary waves in generalized Gross-Neveu and massive Thirring models

27 May, Tuesday, Morning session: Aula Dini*

9:00 - 9:45
Boris Vainbeg: Weyl Law for Signed Counting Function of Positive Interior Transmission Eigenvalues
10:00 - 10:45
Anna Ghazaryan: Stability of traveling waves in parabolic and partly parabolic systems
10:45 - 11:15
Coffee - break and discussions
11:15 - 12:00
Dmitry Pelinovsky: On the orbital stability of Gaussian solitary waves in the log-KdV equation

27 May, Tuesday, Afernoon session: lectures in Aula Dini, working in groups Aula Dini*, Lecture room** and and Meeting room***

14:00 - 14:45 Yuri Latushkin: The Morse and Maslov indices for periodic and for multidimensional differential operators
15:00 - 15:45 Alim Sukhtayev: On Morse and Maslov indices for multidimensional elliptic problems
15:45 - 16:15 Coffee - break and discussions
16:15 - 17:00 Jeremy Marzuola: A Morse Index Theorem for Elliptic Operators on Bounded Domains
17:15 - 18:00 Working in groups: discussions on the lectures, possible open problems, ideas to solve them, talks and poster presentations . Places for discussions-Aula Dini( Palazzo del Castelletto), Lecture Room (Room 2, ground floor, Palazzo Puteano) and Meeting Room (Room 3, ground floor, Palazzo Puteano).

 

28 May, Wednesday, Morning session: Aula Dini*

9:00 - 9:45
Nikolay Tzvetkov: Growing Sobolev norms for the cubic defocusing Schroedinger equation
10:00 - 10:45
Zaher Hani: Effective dynamics for the cubic nonlinear Schrodinger equation confined by domain or potential
10:45 - 11:15
Coffee - break and discussions
11:15 - 12:00
Masahito Ohta: Instability of solitary waves for nonlinear Schrodinger
equations of derivative type

28 May, Wednesday, Afernoon session: lectures in Aula Dini, working in groups Aula Dini*

 

14:00 - 14:45 Milena Stanislavova: Spectral Stability for Special Solutions of Second Order in Time PDE - Theory and Case Studies
15:00 - 15:45 Tetsu Mizumachi: Stability of solitary waves via Pego-Weinstein's method
15:45 - 16:15 Coffee - break and discussions
16:15 - 17:00 Jaime Angulo Pava: Extension theory approach in stability of standing waves for NLS equation with point interactions
17:15 - 18:00 Eduard Kirr: Global Bifurcation Picture in NLS and its Dynamical Aspects
Special session starting at 20:00 Dinner with Speakers

 

29 May, Thursday, Morning session: Aula Dini*

9:00 - 9:45
Claude Zuilly: Strichartz estimates for gravitational water waves
9:45 - 10:15
Coffee - break and discussions
10:15 - 11:00
Luis Vega: Dirac equations with singular potentials
11:15 - 12:00
David Stuart: Hamiltonian quantization of kinks

29 May, Thursday, Afernoon session: lectures in Aula Dini, working in groups Aula Dini*, Lecture room** and Meeting room***

15:00 - 15:45 Michael Jenkinson: On-Site and Off-Site Solitary Waves of the Discrete Nonlinear Schrödinger Equation in Multiple Dimensions
15:45 - 16:15 Coffee - break and discussions
16:15 - 18:00 Working in groups: discussions on the lectures, possible open problems, ideas to solve them, talks and poster presentations . Places for discussions-Aula Dini( Palazzo del Castelletto), Lecture Room (Room 2, ground floor, Palazzo Puteano) and Meeting Room (Room 3, ground floor, Palazzo Puteano).

30 May, Friday, Morning session: Aula Dini*

9:30 - 10:15
Working in groups: discussions on the lectures, possible open problems, ideas to solve them, talks and poster presentations. Places for discussions-Aula Dini( Palazzo del Castelletto)
10:15 - 10:45
Coffee - break and discussions
10:45 - 12:00
Working in groups: discussions on the lectures, possible open problems, ideas to solve them, talks and poster presentations . Places for discussions-Aula Dini( Palazzo del Castelletto)

30 May, Friday, Afernoon session: working in groups Aula Dini*

14:30 - 15:15 Working in groups: discussions on the lectures, possible open problems, ideas to solve them, talks and poster presentations . Places for discussions-Aula Dini( Palazzo del Castelletto)
15:15 - 15:30 Closing of the Workshop

 

Aula Dini*, you can find in Palazzo del Castelletto, Via del Castelletto 11, Pisa. The classroom is on the ground floor of the Palazzo del Castelletto, which is right opposite the Science Collection of the Library of the Scuola Normale Superiore.

Conference rooms in the Palazzo Puteano:
Lecture Room** (Room 2, ground floor)
Meeting Room*** (Room 3, ground floor)

These rooms are on the ground floor of the Palazzo Puteano, just past the main entrance. The lecture room has a traditional chalkboard and a videoprojector. The room can seat up to 30 people.

 

 

 
 

Partially supported by Contract FIRB "Dinamiche Dispersive: Analisi di Fourier e Metodi Variazionali.", 2012, NSF Contract No. 1419217, Centro di Ricerca Matematica Ennio De Giorgi, Universita' di Pisa and and Comenius project "Dynamat" 2010