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IPaDEGAN SIGNED

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

Total Cost €

EC-Contrib. €

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.

mathematical efficient began matrices flows fluid mathematics theoretical interdisciplinary broaden post differential power dispersive seize degrees algebraic multiscale broad display techniques line xx accessible asymptotic physical pde integrable partial undoubtedly previously critical combination analytical numerical random infinite plasma training intertwining chance expertise regimes analogues tools community phenomena geometrical dimensional ground theory pdes stratified realms computing analysed geometry scientific numerically leitmotiv analytically finite freedom predictive younger hamiltonian docs models skills middle numerics generator confined focussing of idea transitions tool linear fertile front ph basis dynamics physics conjectures regular century universality active equations persists instrumental

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 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.	IT (MILANO)	coordinator	94˙500.00
2	SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE Organization address address: VIA BONOMEA 265 city: TRIESTE postcode: 34136 website: www.sissa.it contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	IT (TRIESTE)	participant	184˙500.00
3	COMMUNAUTE D' UNIVERSITES ET ETABLISSEMENTS UNIVERSITE BOURGOGNE - FRANCHE - COMTE COMMUNAUTE D' UNIVERSITES ET ETABLISSEMENTS UNIVERSITE BOURGOGNE - FRANCHE - COMTE Organization address address: 32 AVENUE DE L'OBSERVATOIRE city: BESANCON postcode: 25000 website: n.a. contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	FR (BESANCON)	participant	162˙000.00
4	UNIVERSITE D'ANGERS UNIVERSITE D'ANGERS Organization address address: RUE DE RENNES 40 city: ANGERS CEDEX 01 postcode: 49035 website: www.univ-angers.fr contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	FR (ANGERS CEDEX 01)	participant	99˙000.00
5	BOARD OF GOVERNORS OF THE COLORADO STATE UNIVERSITY SYSTEM BOARD OF GOVERNORS OF THE COLORADO STATE UNIVERSITY SYSTEM Organization address address: COLORADO STATE UNIVERSITY city: FORT COLLINS postcode: 80523 2001 website: n.a. contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	US (FORT COLLINS)	partner	0.00
6	THE TRUSTEES OF INDIANA UNIVERSITY THE TRUSTEES OF INDIANA UNIVERSITY Organization address address: PO BOX 1847 city: BLOOMINGTON postcode: 47402 website: www.indiana.edu contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	US (BLOOMINGTON)	partner	0.00
7	THE UNIVERSITY OF NORTH CAROLINA AT CHAPEL HILL THE UNIVERSITY OF NORTH CAROLINA AT CHAPEL HILL Organization address address: "AIRPORT DRIVE 104 SUITE 2200 CB #1350" city: CHAPEL HILL postcode: 27599 website: www.unc.edu contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	US (CHAPEL HILL)	partner	0.00
8	TSINGHUA UNIVERSITY TSINGHUA UNIVERSITY Organization address address: QING HUA YUAN city: BEIJING postcode: 100084 website: n.a. contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	CN (BEIJING)	partner	0.00
9	UNIVERSITE DE MONTREAL UNIVERSITE DE MONTREAL Organization address address: CP 6128 Station Centre Ville city: MONTREAL postcode: H3C3J7 website: www.umontreal.ca contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	CA (MONTREAL)	partner	0.00
10	UNIVERSITY OF OTAGO UNIVERSITY OF OTAGO Organization address address: SAINT DAVID STREET city: DUNEDIN postcode: 9054 website: www.otago.ac.nz contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	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

List of publications.
year	authors and title	journal	last update
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.â€R. McLaughlin, P. D. Miller A Study of the Direct Spectral Transform for the Defocusing Daveyâ€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 Daveyâ€“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 Ï„ -function of the Ablowitz-Segur family of solutions to PainlevÃ© 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 Borodinâ€“Okounkov formula, string equation and topological solutions of Drinfeldâ€“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 SchrÃ¶dinger-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 â€œVacuumâ€ 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 Brezinâ€“Grossâ€“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 Daveyâ€“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 Drinfeldâ€“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 PainlevÃ© 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 PainlevÃ© 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 PainlevÃ© 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, JosÃ© Gustavo Elias Rebelo, Tamara Grava PainlevÃ© 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 PainlevÃ© 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. VallÃ©e 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 PainlevÃ© functions published pages: 4033-4078, ISSN: 0951-7715, DOI: 10.1088/1361-6544/ab28c7	Nonlinearity 32/10	2019-10-15

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