Singularity formation in nonlinear evolution equations

Project Information

SINGWAVES

Grant agreement ID: 646650

DOI

10.3030/646650

Project closed

EC signature date 4 May 2015

Start date 1 August 2015

End date 31 January 2021

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 211 055,00

EU contribution

€ 1 211 055,00

Coordinated by

THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
United Kingdom

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Other (4)

Self-similar blow-up profiles for slightly supercritical nonlinear Schrödinger equations

Author(s): Martel and Raphael
Published in: 2019
Publisher: Archiv for math

On weakly turbulent solutions to the perturbed linear Harmonic oscillator

Author(s): Faou and Raphael
Published in: 2020
Publisher: Archiv for math

On the implosion of a three dimensional compressible fluid

Author(s): Merle, Raphael, Rodnianski and Szeftel
Published in: 2019
Publisher: Archiv for math

On blow up for the energy super critical defocusing non linear Schrödinger equations

Author(s): Merle, Raphael, Rodnianski, Szeftel
Published in: 2019
Publisher: Archiv for math

Peer reviewed articles (11)

Strongly anisotropic type II blow up at an isolated point

Author(s): Collot, Merle and Raphael
Published in: Jour. Amer. Math. Soc, 2020, Page(s) 541–606, ISSN 1073-7928
Publisher: Oxford University Press

On strongly anisotropic type I blowup

Author(s): Merle, Raphael, Szeftel
Published in: IMRN, 2020, ISSN 1073-7928
Publisher: Oxford University Press

On traveling waves of the nonlinear Schrödinger equation escaping a potential well

Author(s): Naumkin and Raphael
Published in: Ann. Henri Poincare, 2020, Page(s) 1677–1758, ISSN 1424-0637
Publisher: Birkhauser Verlag

A two soliton with transient turbulent regime for the cubic half wave on the real line

Author(s): Patrick Gerard, Enno Lenzman, Oana Pocovnicu and Pierre Raphael
Published in: Annals of PDE, 2018, ISSN 2199-2576
Publisher: springer

On the stability of type I blow up for the energy super critical heat equation

Author(s): Charles Collot, Jeremie Szeftel and Pierre Raphael
Published in: Memoirs of the American Mathematical Society, 2016, ISSN 0065-9266
Publisher: American Mathematical Society

Modified scattering for the critical nonlinear Schrodinger equation

Author(s): Ivan Naumkin and Thierry Cazenave
Published in: Journal of functional analysis, 2018, ISSN 0022-1236
Publisher: Academic Press

The radial defocusing energy-supercritical NLS in dimension four,

Author(s): C. Lu and J. Zheng
Published in: Journal of Differential equations, 2017, ISSN 0022-0396
Publisher: Academic Press

Strongly interacting blow up bubbles for the mass critical NLS

Author(s): Yvan Martel and Pierre Raphael
Published in: Annales scientifiques de l'ecole normale supérieure, 2017, ISSN 0012-9593
Publisher: Elsevier BV

Melting and freezing for the 2D radial Stefan problem

Author(s): Mahir Hadzic and Pierre Raphael
Published in: Journal of the European Mathematical society, 2017, ISSN 1435-9863
Publisher: european math society

Nonradial type II blow up for the energy-supercritical semilinear heat equation

Author(s): Charles Collot
Published in: Analysis & PDE, Issue 10/1, 2017, Page(s) 127-252, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/apde.2017.10.127

Dynamics Near the Ground State for the Energy Critical Nonlinear Heat Equation in Large Dimensions

Author(s): Charles Collot, Frank Merle, Pierre Raphaël
Published in: Communications in Mathematical Physics, Issue 352/1, 2017, Page(s) 215-285, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-016-2795-4