DOI10.1142/S0218202502002215zbMath1029.35208arXivcond-mat/0112414OpenAlexW1963948184MaRDI QIDQ4798944
Rémi Carles
Publication date: 16 March 2003
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/0112414
Blow-up for the stochastic nonlinear Schrödinger equations with quadratic potential and additive noise,
SCHRÖDINGER SYSTEMS ARISING IN NONLINEAR OPTICS AND QUANTUM MECHANICS: PART I,
A new blow-up criterion for Gross-Pitaevskii equation,
BLOW-UP IN TWO-COMPONENT NONLINEAR SCHRÖDINGER SYSTEMS WITH AN EXTERNAL DRIVEN FIELD,
Construction of solutions with exactly \(k\) blow-up points for nonlinear Schrödinger equation with a harmonic potential,
Sharp upper and lower bounds on the blow-up rate for nonlinear Schrödinger equation with potential,
Asymptotic behavior and stability for the Schrödinger-Lohe model,
Coupled nonlinear Schrödinger equations with harmonic potential,
Group classification of (1+1)-dimensional Schrödinger equations with potentials and power nonlinearities,
Global existence for the defocusing Sobolev critical Schrödinger equation under the finite variance condition of initial data,
Profiles of blow-up solutions for the Gross-Pitaevskii equation,
Some qualitative studies of the focusing inhomogeneous Gross-Pitaevskii equation,
Nonlinear Schrödinger equation with combined power-type nonlinearities and harmonic potential,
Replicator-mutator equations with quadratic fitness,
Fractional Fourier transform and geometric quantization,
On a class of nonlinear Schrödinger equations with nonnegative potentials in two space dimensions,
Numerical study of the logarithmic Schrödinger equation with repulsive harmonic potential,
On the role of quadratic oscillations in nonlinear Schrödinger equations.,
Threshold for blowup and stability for nonlinear Schrödinger equation with rotation,
A nonlinear Schrödinger model for many-particle quantum systems,
The Gross-Pitaevskii model of spinor BEC,
A nonrelativistic limit for AdS perturbations,
Energy criterion of global existence for supercritical nonlinear Schrödinger equation with harmonic potential,
Variational approach to the orbital stability of standing waves of the Gross-Pitaevskii equation,
The Schrödinger equation along curves and the quantum harmonic oscillator,
LINEAR VS. NONLINEAR EFFECTS FOR NONLINEAR SCHRÖDINGER EQUATIONS WITH POTENTIAL,
Sharp conditions of global existence for second‐order derivative nonlinear Schrödinger equations with combined power‐type nonlinearities,
Existence and stability of standing waves for supercritical NLS with a partial confinement,
\(L^{2}\)-concentration of blow-up solutions for two-coupled nonlinear Schrödinger equations with harmonic potential,
Admissible transformations and normalized classes of nonlinear Schrödinger equations,
GLOBAL WELL-POSEDNESS AND INSTABILITY OF A NONLINEAR SCHRÖDINGER EQUATION WITH HARMONIC POTENTIAL,
Sharp conditions of global existence for nonlinear Schrödinger equation with a harmonic potential,
Upper and lower bound of the blow-up rate for nonlinear Schrödinger equation with a harmonic potential,
Remarks on global existence for the supercritical nonlinear Schrödinger equation with a harmonic potential,
Upper bound of weak-limitation for the Gross-Pitaevskii equation,
Orbital stability of standing waves for a class of Schrödinger equations with unbounded potential,
Long time dynamics for the one dimensional non linear Schrödinger equation,
Remarks on the blow-up rate for critical nonlinear Schrödinger equation with harmonic potential,
On the well-posedness for stochastic Schrödinger equations with quadratic potential,
Dispersive blow-up for nonlinear Schrödinger equations revisited,
Finite speed of disturbance for the nonlinear Schrödinger equation,
Blow-up profile to the solutions of two-coupled Schrödinger equations,
Remarks on the blow-up solutions for the critical Gross-Pitaevskii equation,
Sharp blowup rate for NLS with a repulsive harmonic potential,
Blowup rate for mass critical rotational nonlinear Schrödinger equations,
Compactification for asymptotically autonomous dynamical systems: theory, applications and invariant manifolds,
The cubic nonlinear Schrödinger equation in two dimensions with radial data,
Limiting profile of blow-up solutions for the Gross-Pitaevskii equation,
Mass concentration for nonlinear Schrödinger equation with partial confinement,
Sharp thresholds of global existence and blowup for a system of Schrödinger equations with combined power-type nonlinearities