Research interests: non linear wave dynamics, Schrodinger equations, kinetic and fluid equations, singularity formation and wave collapse
Publications
On blow up for the energy super critical defocusing {nonlinear Schr\"odinger equations
(2019)
On the implosion of a three dimensional compressible fluid
(2019)
Strongly anisotropic type II blow up at an isolated point
– Journal of the American Mathematical Society
(2019)
33,
1
(DOI: 10.1090/jams/941)
On melting and freezing for the 2D radial Stefan problem
– Journal of the European Mathematical Society
(2019)
21,
3259
(DOI: 10.4171/jems/904)
On the Stability of Type I Blow Up For the
Energy Super Critical Heat Equation
– Memoirs of the American Mathematical Society
(2019)
260,
(DOI: 10.1090/memo/1255)
A Two-Soliton with Transient Turbulent Regime for the Cubic Half-Wave Equation on the Real Line
– Annals of PDE
(2018)
4,
7
(DOI: 10.1007/s40818-017-0043-7)
On small traveling waves to the mass critical fractional NLS
– Calculus of Variations and Partial Differential Equations
(2018)
57,
93
(DOI: 10.1007/s00526-018-1355-5)
Strongly interacting blow up bubbles for the mass critical nonlinear Schrödinger equation
– Annales scientifiques de l'École normale supérieure
(2018)
51,
701
(DOI: 10.24033/asens.2364)
Dynamics Near the Ground State for the Energy Critical Nonlinear Heat Equation in Large Dimensions
– Communications in Mathematical Physics
(2016)
352,
215
(DOI: 10.1007/s00220-016-2795-4)
Minimal mass blow up solutions for a double power nonlinear Schrödinger equation
– Revista Matemática Iberoamericana
(2016)
32,
795
(DOI: 10.4171/rmi/899)
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