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Research talks;Partial Differential Equations;Probability and Statistics

60H15 ; 60K35 ; 35k59 ; 35Q53 ; 35R60 ; 35Q82

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Research talks;Partial Differential Equations;Mathematical Physics

In spite of enormous success of the theory of integrable systems, at least three important problems are not resolved yet or are resolved only partly. They are the following:
1. The IST in the case of arbitrary bounded initial data.
2. The statistical description of the systems integrable by the IST. Albeit, the development of the theory of integrable turbulence.
3. Integrability of the deep water equations.
These three problems will be discussed in the talk. In spite of enormous success of the theory of integrable systems, at least three important problems are not resolved yet or are resolved only partly. They are the following:
1. The IST in the case of arbitrary bounded initial data.
2. The statistical description of the systems integrable by the IST. Albeit, the development of the theory of integrable turbulence.
3. Integrability of the deep water equations.
These three problems will be discussed ...

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Documents 35Q53 | enregistrements trouvés : 71

Weak universality of the KPZ equation with arbitrary nonlinearities Hairer, Martin | CIRM H Nouveau

Unresolved problems in the theory of integrable systems Zakharov, Vladimir | CIRM H Nouveau

Pathwise regularisation by noise in PDEs Gubinelli, Massimiliano | CIRM H Nouveau

The legacy of the inverse scattering transform in applied mathematics :proceedings of an AMS-IMS-SIAM joint summer research conference on ... held at Mount Holyoke College#June 17-21 Bona, Jerry ; Choudhury, Roy ; Kaup, David | American Mathematical Society 2002 Nouveau

Seminar on stochastic analysis, random fields and applications V#May 30 - June 3 Dozzi, Marco ; Russo, Francesco ; Dalang, Robert C. | Springer 2008 Nouveau

Séminaire Bourbaki. Vol. 2003/2004 :exposés 924-937 | Société Mathématique de France 1998 Nouveau

Séminaire Bourbaki. Vol. 1997/98 :exposés 835-849 | Société Mathématique de France 1998 Nouveau

Recent developments in integrable systems and Riemann-Hilbert problems :AMS special session on ... held at the University of Alabama#Nov. 10-12 McLaughlin, Kenneth D. T.-R. ; Zhou, Xin | American Mathematical Society 2003 Nouveau

Proceedings of the centre for mathematics and its application. Vol. 40 :special program on spectral and scattering theorysurvey in analysis and operator theory#July-Dec. Hassell, Andrew | Australian National University 2002 Nouveau

Nonlinear wave equations: analytic and computational techniques:AMS special session on nonlinear waves and integrable systemsBoulder # April 13-14, 2013 Curtis, Christopher W. ; Dzhamay, Anton ; Hereman, Willy A. ; Prinari, Barbara | American Mathematical Society 2015 Nouveau

Nonlinear evolution equationsintegrability and spectral methods held in the beautiful neoclassical XVIII century Villa Olmo, Como, Italy 4- 15 july, 1988 Degasperis, A. ; Fordy, A. P. ; Lakshmanan, M. | Manchester University Press 1990 Nouveau

New developments in algebraic geometry, integrable systems and mirror symmetry.Papers based on the RIMS international project research 2007Kyoto # april 2007-march 2008 Saito, Masa-Hico ; Hosono, Shinobu ; Yoshioka, Kota | Mathematical Society of Japan 2010 Nouveau

Mathematical problems in the theory of water waves :a workshop on ... held at CIRM#May 15-19 Dias, F. ; Ghidaglia, J. M. ; Saut, J. C. | American Mathematical Society 1996 Nouveau

Journées de théorie ergodiqueC.I.R.M.LuminyJuillet 5-10 | Laboratoire De Probabilites 1982 Nouveau

Harmonic analysis Calderon-Zygmund and beyond :a conference in honor of Stephen Vagi's retirement#Dec. 6-8 Ash, J. Marshall ; Jones, Roger L. | American Mathematical Society 2006 Nouveau

Hamiltonian dynamics - theory and applications :lectures given at the C.I.M.E. summer school held in Cetraro#July 1-10 Benettin, Giancarlo ; Henrard, Jacques ; Kuksin, Sergei ; Giorgilli, Antonio | Springer 2005 Nouveau

From particle systems to partial differential equations.Proceedings of the conference 'Particle systems and partial differential equations'Braga # december 5-7, 2012 Bernardin, Cédric ; Gonçalves, Patricia | Springer 2014 Nouveau

Differential geometry and integrable systems :a conference on ... held at the University of Tokyo#July 17-21 Guest, Martin ; Miyaoka, Reiko ; Ohnita, Yoshihiro | American Mathematical Society 2002 Nouveau

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The legacy of the inverse scattering transform in applied mathematics :
proceedings of an AMS-IMS-SIAM joint summer research conference on ... held at Mount Holyoke College#June 17-21 Bona, Jerry ; Choudhury, Roy ; Kaup, David | American Mathematical Society 2002 Nouveau

Séminaire Bourbaki. Vol. 2003/2004 :
exposés 924-937 | Société Mathématique de France 1998 Nouveau

Séminaire Bourbaki. Vol. 1997/98 :
exposés 835-849 | Société Mathématique de France 1998 Nouveau

Recent developments in integrable systems and Riemann-Hilbert problems :
AMS special session on ... held at the University of Alabama#Nov. 10-12 McLaughlin, Kenneth D. T.-R. ; Zhou, Xin | American Mathematical Society 2003 Nouveau

Proceedings of the centre for mathematics and its application. Vol. 40 :
special program on spectral and scattering theory
survey in analysis and operator theory#July-Dec. Hassell, Andrew | Australian National University 2002 Nouveau

Nonlinear wave equations: analytic and computational techniques:
AMS special session on nonlinear waves and integrable systems
Boulder # April 13-14, 2013 Curtis, Christopher W. ; Dzhamay, Anton ; Hereman, Willy A. ; Prinari, Barbara | American Mathematical Society 2015 Nouveau

Nonlinear evolution equations
integrability and spectral methods held in the beautiful neoclassical XVIII century Villa Olmo, Como, Italy 4- 15 july, 1988 Degasperis, A. ; Fordy, A. P. ; Lakshmanan, M. | Manchester University Press 1990 Nouveau

New developments in algebraic geometry, integrable systems and mirror symmetry.
Papers based on the RIMS international project research 2007
Kyoto # april 2007-march 2008 Saito, Masa-Hico ; Hosono, Shinobu ; Yoshioka, Kota | Mathematical Society of Japan 2010 Nouveau

Mathematical problems in the theory of water waves :
a workshop on ... held at CIRM#May 15-19 Dias, F. ; Ghidaglia, J. M. ; Saut, J. C. | American Mathematical Society 1996 Nouveau

Journées de théorie ergodique
C.I.R.M.
Luminy
Juillet 5-10 | Laboratoire De Probabilites 1982 Nouveau

Harmonic analysis Calderon-Zygmund and beyond :
a conference in honor of Stephen Vagi's retirement#Dec. 6-8 Ash, J. Marshall ; Jones, Roger L. | American Mathematical Society 2006 Nouveau

Hamiltonian dynamics - theory and applications :
lectures given at the C.I.M.E. summer school held in Cetraro#July 1-10 Benettin, Giancarlo ; Henrard, Jacques ; Kuksin, Sergei ; Giorgilli, Antonio | Springer 2005 Nouveau

From particle systems to partial differential equations.
Proceedings of the conference 'Particle systems and partial differential equations'
Braga # december 5-7, 2012 Bernardin, Cédric ; Gonçalves, Patricia | Springer 2014 Nouveau

Differential geometry and integrable systems :
a conference on ... held at the University of Tokyo#July 17-21 Guest, Martin ; Miyaoka, Reiko ; Ohnita, Yoshihiro | American Mathematical Society 2002 Nouveau