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Data collapse for the Schrödinger equation

Chemical Physics Letters, 2000
Abstract We present a data-collapse study for quantum few-body problems. Our data strongly support a recent hypothesis for the application of the finite-size scaling approach for the calculation of the critical parameters for the few-body Schrodinger equation. We test the data collapse using very accurate calculations of the one-body Yukawa potential.
Pablo Serra, Sabre Kais
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Collapsing Solutions in the 3-D Euler Equations

Physics of Fluids A: Fluid Dynamics, 1990
A three-dimensional adaptive mesh code is used to search for singularities in the incompressible Euler equations. For the initial conditions examined, the maximum vorticity eventually grows only exponentially. The small scales are quasi-two-dimensional and the vorticity has a pronounced tendency to develop sharp jumps in magnitude.
Pumir, Alain, Siggia, Eric
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Relativistic collapse using Regge calculus. I. Spherical collapse equations

Classical and Quantum Gravity, 1989
Summary: Following work by Porter, Regge calculus is used to simulate the dynamical collapse of model stars. In this paper we describe the general methodology of including a perfect fluid in dynamical Regge calculus spacetimes. The Regge-Einstein equations for spherical collapse are obtained and are then specialised to mimic a particular continuum ...
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An Improved Design Equation for Tubular Collapse

SPE Annual Technical Conference and Exhibition, 1993
Abstract This paper presents a new equation for predicting the collapse of tubulars under external pressure. The development of the equation is based on a large number of non-linear finite element simulations of tubulars with different geometrical tolerances and mechanical properties.
J.A. Issa, D.S. Crawford
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Relativistic equations for aspherical gravitational collapse

Physical Review D, 1978
A totally gauge-invariant formulation of the linearized Einstein field equations for the most general matter-associated perturbations away from a spatially isotropic homogeneous space-time is given. We introduce metric, stress-energy, velocity, and scalar perturbation quantities that are invariant with respect to infinitesimal coordinate ...
Ulrich H. Gerlach, Uday K. Sengupta
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Collapse in the symmetric Gross–Pitaevskii equation

Journal of Optics B: Quantum and Semiclassical Optics, 2004
A generic mechanism of collapse in the Gross–Pitaevskii equation with attractive interparticle interactions is gained by reformulating this equation as Newton's equation of motion for a system of particles with a constraint. 'Quantum pressure' effects give rise to formation of a potential barrier around the emerging singularity, which prevents a ...
A V Rybin, G G Varzugin, J Timonen
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Driving and collapse in a nonlinear Schrödinger equation

Physics Letters A, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rasmussen, K.Ø.   +2 more
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Collapse of solutions of a system of nonlinear Schr�dinger equations

Lithuanian Mathematical Journal, 1992
See the review in Zbl 0746.35042.
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Collapse in a forced three-dimensional nonlinear Schrödinger equation

Physical Review E, 2000
We derive sufficient conditions for the occurrence of collapse in a forced three-dimensional nonlinear Schrodinger equation without dissipation. Numerical studies continue the results to the case of finite dissipation.
, Lushnikov, , Saffman
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Relativistic Equations for Adiabatic, Spherically Symmetric Gravitational Collapse

Physical Review, 1964
Relativistic gravitational collapse equations assuming spherical symmetry, adiabatic flow and pressure gradient ...
Misner, C. W., Sharp, D. H.
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