On blow up for the energy super critical defocusing nonlinear Schrödinger equations

On the Stability of Type I Blow Up For the Energy Super Critical Heat Equation

(2019) Charles Collot et al.   MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

Modified scattering for the critical nonlinear Schrödinger equation

(2018) Thierry Cazenave et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Type II Blow up Manifolds for the Energy Supercritical Semilinear Wave Equation

(2018) Charles Collot   MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

Finite time blowup for a supercritical defocusing nonlinear Schrödinger system

(2018) Terence Tao   Analysis & PDE

Large global solutions for energy supercritical nonlinear wave equations on ℝ3+1

(2017) Joachim Krieger et al.   JOURNAL D ANALYSE MATHEMATIQUE

On Blowup in Supercritical Wave Equations

(2016) Roland Donninger et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Finite-time blowup for a supercritical defocusing nonlinear wave system

(2016) Terence Tao   Analysis & PDE

Generic Self-Similar Blowup for Equivariant Wave Maps and Yang–Mills Fields in Higher Dimensions

(2015) Piotr Bizoń et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Blow Up Dynamics for Equivariant Critical Schrödinger Maps

(2014) Galina Perelman   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Stable Blowup Dynamics for the 1-Corotational Energy Critical Harmonic Heat Flow

(2012) Pierre Raphaël et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem

(2012) Frank Merle et al.   INVENTIONES MATHEMATICAE

Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems

(2012) Pierre Raphaël et al.   Publications Mathematiques de l IHES

On stable self-similar blowup for equivariant wave maps

(2011) Roland Donninger   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

On the formation of singularities in the criticalO(3)σ-model

(2010) Igor Rodnianski et al.   ANNALS OF MATHEMATICS

Energy-Supercritical NLS: Critical[Hdot]s-Bounds Imply Scattering

(2010) Rowan Killip et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

NUMERICAL SIMULATIONS OF THE ENERGY-SUPERCRITICAL NONLINEAR SCHRÖDINGER EQUATION

(2010) J. COLLIANDER et al.   Journal of Hyperbolic Differential Equations

Global well-posedness of the Cauchy problem for a super-critical nonlinear wave equation in two space dimensions

(2010) Michael Struwe   MATHEMATISCHE ANNALEN

Global well-posedness and scattering for the energy-critical Schrödinger equation in ℝ3

(2009) James Colliander et al.   ANNALS OF MATHEMATICS

On the Stability of a Singular Vortex Dynamics

(2008) V. Banica et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Instabilities for supercritical Schrödinger equations in analytic manifolds

(2008) Laurent Thomann   JOURNAL OF DIFFERENTIAL EQUATIONS

Classification of type I and type II behaviors for a supercritical nonlinear heat equation

(2008) Hiroshi Matano et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Loss of regularity for supercritical nonlinear Schrödinger equations

(2008) Thomas Alazard et al.   MATHEMATISCHE ANNALEN