Profiles of blow-up solutions for the Gross-Pitaevskii equation
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Publication:601945
DOI10.1007/S10255-010-0027-9zbMath1202.35312OpenAlexW2067172005MaRDI QIDQ601945
Publication date: 29 October 2010
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-010-0027-9
Analyticity in context of PDEs (35A20) Quantum optics (81V80) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44)
Related Items (2)
Blowup rate for mass critical rotational nonlinear Schrödinger equations ⋮ Universal Upper Bound on the Blowup Rate of Nonlinear Schrödinger Equation with Rotation
Cites Work
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- Limit behavior of blow-up solutions for critical nonlinear Schrödinger equation with harmonic potential.
- L\({}^ 2\) concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Cauchy problem and Ehrenfest's law of nonlinear Schrödinger equations with potentials
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Existence of solitary waves in higher dimensions
- Profiles and quantization of the blow up mass for critical nonlinear Schrödinger equation
- On universality of blow up profile for \(L^2\) critical nonlinear Schrödinger equation
- The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation
- Proof of a spectral property related to the singularity formation for the \(L^{2}\) critical nonlinear Schrödinger equation
- Structure of a quantized vortex in boson systems
- Nonlinear Schrödinger equation with harmonic potential
- On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
- CRITICAL NONLINEAR SCHRÖDINGER EQUATIONS WITH AND WITHOUT HARMONIC POTENTIAL
- Sharp threshold of global existence for non-linear Gross–Pitaevskii equation in ℝN
- On a sharp lower bound on the blow-up rate for the 𝐿² critical nonlinear Schrödinger equation
- Sharp Threshold for Blowup and Global Existence in Nonlinear Schrödinger Equations Under a Harmonic Potential
- Stability of attractive Bose-Einstein condensates
- Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.
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