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IPaDEGAN SIGNED

Integrable Partial Differential Equations: Geometry, Asymptotics, and Numerics.

Total Cost €

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EC-Contrib. €

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Partnership

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 IPaDEGAN project word cloud

Explore the words cloud of the IPaDEGAN project. It provides you a very rough idea of what is the project "IPaDEGAN" about.

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Project "IPaDEGAN" data sheet

The following table provides information about the project.

Coordinator
UNIVERSITA' DEGLI STUDI DI MILANO-BICOCCA 

Organization address
address: PIAZZA DELL'ATENEO NUOVO 1
city: MILANO
postcode: 20126
website: www.unimib.it

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Italy [IT]
 Total cost 886˙500 €
 EC max contribution 540˙000 € (61%)
 Programme 1. H2020-EU.1.3.3. (Stimulating innovation by means of cross-fertilisation of knowledge)
 Code Call H2020-MSCA-RISE-2017
 Funding Scheme MSCA-RISE
 Starting year 2018
 Duration (year-month-day) from 2018-01-01   to  2021-12-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITA' DEGLI STUDI DI MILANO-BICOCCA IT (MILANO) coordinator 94˙500.00
2    SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE IT (TRIESTE) participant 184˙500.00
3    COMMUNAUTE D' UNIVERSITES ET ETABLISSEMENTS UNIVERSITE BOURGOGNE - FRANCHE - COMTE FR (BESANCON) participant 162˙000.00
4    UNIVERSITE D'ANGERS FR (ANGERS CEDEX 01) participant 99˙000.00
5    BOARD OF GOVERNORS OF THE COLORADO STATE UNIVERSITY SYSTEM US (FORT COLLINS) partner 0.00
6    THE TRUSTEES OF INDIANA UNIVERSITY US (BLOOMINGTON) partner 0.00
7    THE UNIVERSITY OF NORTH CAROLINA AT CHAPEL HILL US (CHAPEL HILL) partner 0.00
8    TSINGHUA UNIVERSITY CN (BEIJING) partner 0.00
9    UNIVERSITE DE MONTREAL CA (MONTREAL) partner 0.00
10    UNIVERSITY OF OTAGO NZ (DUNEDIN) partner 0.00

Map

 Project objective

Partial Differential Equations (PDE's) undoubtedly are among the main tools for an efficient modelling of physical phenomena. Infinite-dimensional analogues of regular (integrable) behaviour, previously confined to the theory of systems with a finite number of degrees of freedom began to be considered in the middle of the XX century in fluid dynamics, field theory and plasma physics. The idea that an integrable behaviour persists in non-integrable systems, together with the combination of the state-of-the-art numerical methods with front-line geometrical and analytical techniques in the theory of Hamiltonian PDE's is the leitmotiv of this research project. Asymptotic regimes leading to phase transitions both in the theory of dispersive PDEs and the theory of Random Matrices display universality properties which can be analysed both numerically and analytically. The predictive power of numerics and scientific computing can be used both as a testing tool for theoretical models and as a generator of new conjectures. By focussing the expertise of front line researchers in different areas of Mathematics towards the study of critical phenomena in dispersive PDE's, we expect results in realms including differential and algebraic geometry, the theory of random matrices, multiscale analysis of PDE's as well as non-linear models of stratified fluid flows. The broad interdisciplinary basis and intertwining of methods of Geometry and Mathematical Physics will be instrumental in making the results accessible for the wider community. Younger (Ph.D. and/or Post-Docs) Researchers to be included in such an active and fertile research and training ground, will certainly seize their chance to enhance and broaden their skills.

 Deliverables

List of deliverables.
Public Lecture 1 Other 2020-02-17 17:16:59
Table-top tank for water waves Demonstrators, pilots, prototypes 2020-02-17 17:16:49
Conference at UBFC Other 2020-02-17 17:16:51
video gallery Websites, patent fillings, videos etc. 2020-02-17 17:16:49
Conference at Unimib Other 2020-02-12 12:29:28

Take a look to the deliverables list in detail:  detailed list of IPaDEGAN deliverables.

 Publications

year authors and title journal last update
List of publications.
2020 P. Lorenzoni, R. Vitolo
Weakly nonlocal Poisson brackets, Schouten brackets and supermanifolds
published pages: 103573, ISSN: 0393-0440, DOI: 10.1016/j.geomphys.2019.103573
Journal of Geometry and Physics 149 2020-03-05
2019 M. Cafasso, P. Gavrylenko, O. Lisovyy
Tau Functions as Widom Constants
published pages: 741-772, ISSN: 0010-3616, DOI: 10.1007/s00220-018-3230-9
Communications in Mathematical Physics 365/2 2020-03-05
2019 O. Assainova, C. Klein, K. D. T.‐R. McLaughlin, P. D. Miller
A Study of the Direct Spectral Transform for the Defocusing Davey‐Stewartson II Equation the Semiclassical Limit
published pages: 1474-1547, ISSN: 0010-3640, DOI: 10.1002/cpa.21822
Communications on Pure and Applied Mathematics 72/7 2020-02-06
2019 Christian Klein, Nikola Stoilov
Numerical scattering for the defocusing Davey–Stewartson II equation for initial data with compact support
published pages: 4258-4280, ISSN: 0951-7715, DOI: 10.1088/1361-6544/ab28c6
Nonlinearity 32/11 2020-02-06
2019 Harini Desiraju
The τ -function of the Ablowitz-Segur family of solutions to Painlevé II as a Widom constant
published pages: 113505, ISSN: 0022-2488, DOI: 10.1063/1.5120357
Journal of Mathematical Physics 60/11 2020-02-06
2019 Mattia Cafasso, Chao-Zhong Wu
Borodin–Okounkov formula, string equation and topological solutions of Drinfeld–Sokolov hierarchies
published pages: 2681-2722, ISSN: 0377-9017, DOI: 10.1007/s11005-019-01205-8
Letters in Mathematical Physics 109/12 2020-02-06
2019 Jack Arbunich, Christian Klein, Christof Sparber
On a class of derivative Nonlinear Schrödinger-type equations in two spatial dimensions
published pages: 1477-1505, ISSN: 0764-583X, DOI: 10.1051/m2an/2019018
ESAIM: Mathematical Modelling and Numerical Analysis 53/5 2020-02-06
2020 Roberto Camassa, Gregorio Falqui, Giovanni Ortenzi, Marco Pedroni, Giuseppe Pitton
On the “Vacuum” Dam-Break Problem: Exact Solutions and Their Long Time Asymptotics
published pages: 44-70, ISSN: 0036-1399, DOI: 10.1137/19m1266836
SIAM Journal on Applied Mathematics 80/1 2020-02-06
2019 Marco Bertola, Giulio Ruzza
Brezin–Gross–Witten tau function and isomonodromic deformations
published pages: 827-883, ISSN: 1931-4523, DOI: 10.4310/cntp.2019.v13.n4.a4
Communications in Number Theory and Physics 13/4 2020-02-05
2019 Christian Klein, Ken McLaughlin, Nikola Stoilov
Spectral approach to the scattering map for the semi-classical defocusing Davey–Stewartson II equation
published pages: 132126, ISSN: 0167-2789, DOI: 10.1016/j.physd.2019.05.006
Physica D: Nonlinear Phenomena 400 2019-10-15
2019 Ann du Crest de Villeneuve, Paolo Rossi
Quantum D 4 Drinfeld–Sokolov hierarchy and quantum singularity theory
published pages: 29-44, ISSN: 0393-0440, DOI: 10.1016/j.geomphys.2019.02.011
Journal of Geometry and Physics 141 2019-10-15
2019 R Camassa, G Falqui, G Ortenzi, M Pedroni, G Pitton
Singularity formation as a wetting mechanism in a dispersionless water wave model
published pages: 4079-4116, ISSN: 0951-7715, DOI: 10.1088/1361-6544/ab2a1a
Nonlinearity 32/10 2019-10-15
2019 M. Cafasso, P. Gavrylenko, O. Lisovyy
Tau Functions as Widom Constants
published pages: 741-772, ISSN: 0010-3616, DOI: 10.1007/s00220-018-3230-9
Communications in Mathematical Physics 365/2 2019-10-15
2018 M. Bertola, M. Cafasso, V. Rubtsov
Noncommutative Painlevé Equations and Systems of Calogero Type
published pages: 503-530, ISSN: 0010-3616, DOI: 10.1007/s00220-018-3210-0
Communications in Mathematical Physics 363/2 2019-10-15
2019 R. Camassa, G. Falqui, G. Ortenzi, M. Pedroni, C. Thomson
Hydrodynamic Models and Confinement Effects by Horizontal Boundaries
published pages: 1445-1498, ISSN: 0938-8974, DOI: 10.1007/s00332-018-9522-6
Journal of Nonlinear Science 29/4 2019-10-15
2019 Mattia Cafasso, Tom Claeys, Manuela Girotti
Fredholm Determinant Solutions of the Painlevé II Hierarchy and Gap Probabilities of Determinantal Point Processes
published pages: , ISSN: 1073-7928, DOI: 10.1093/imrn/rnz168
International Mathematics Research Notices 2019-10-15
2018 Mattia Cafasso, Manuel D. de la Iglesia
The Toda and Painlevé Systems Associated with Semiclassical Matrix-Valued Orthogonal Polynomials of Laguerre Type
published pages: , ISSN: 1815-0659, DOI: 10.3842/sigma.2018.076
Symmetry, Integrability and Geometry: Methods and Applications 2019-10-15
2018 Marco Bertola, José Gustavo Elias Rebelo, Tamara Grava
Painlevé IV Critical Asymptotics for Orthogonal Polynomials in the Complex Plane
published pages: , ISSN: 1815-0659, DOI: 10.3842/sigma.2018.091
Symmetry, Integrability and Geometry: Methods and Applications 2019-10-15
2018 Mattia Cafasso, Ann du Crest de Villeneuve, Di Yang
Drinfeld-Sokolov Hierarchies, Tau Functions, and Generalized Schur Polynomials
published pages: , ISSN: 1815-0659, DOI: 10.3842/sigma.2018.104
Symmetry, Integrability and Geometry: Methods and Applications 2019-10-15
2018 Christian Klein, Nikola Stoilov
Numerical Approach to Painlevé Transcendents on Unbounded Domains
published pages: , ISSN: 1815-0659, DOI: 10.3842/sigma.2018.068
Symmetry, Integrability and Geometry: Methods and Applications 2019-10-15
2019 S. Crespo, M. Fasondini, C. Klein, N. Stoilov, C. Vallée
Multidomain spectral method for the Gauss hypergeometric function
published pages: , ISSN: 1017-1398, DOI: 10.1007/s11075-019-00741-7
Numerical Algorithms 2019-10-15
2019 Estelle Basor, Pavel Bleher, Robert Buckingham, Tamara Grava, Alexander Its, Elizabeth Its, Jonathan P Keating
A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions
published pages: 4033-4078, ISSN: 0951-7715, DOI: 10.1088/1361-6544/ab28c7
Nonlinearity 32/10 2019-10-15

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