We identify an observable corresponding to the average energy per particle, and we prove that it is a conserved quantity. We prove that all solutions to the focusing GP hierarchy at the L 2 -critical or L 2 -supercritical level blow up in finite time if the energy per particle in the initial condition is negative. Our results do not assume any factorization of the initial data.
Adami , G. Golse , A. Aizenman , E. Lieb , R. Seiringer , J. Solovej , J.
Donate to arXiv
Yngvason , Bose—Einstein quantum phase transition in an optical lattice model , Phys. A 70 , Zbl Anapolitanos , I. Bach , T. Chen , J. Sigal , Smooth Feshbach map and operator-theoretic renormalization group methods , J. Notes vol.
On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations
Chen , N. A 27 no. Elgart , L. Schlein , H. Yau , Gross—Pitaevskii equation as the mean field limit of weakly coupled bosons , Arch. Elgart , B. Schlein , Mean field dynamics of boson stars , Comm. Pure Appl. Graffi , S.
Knowles , A. Pizzo , Atomism and quantization , J. A 40 no. Knowles , S. Schwarz , On the mean-field limit of bosons with Coulomb two-body interaction , Comm. Carnival or football, is there a real risk for acquiring dengue fever in Brazil during holidays seasons? Polymer measure: Varadhan's renormalization revisited Rev. Borges, P. Application of the moving mesh method to the porous medium equation with variable exponent Math. Value Probl. Methods Nonlinear Anal. On the correlation between variance in individual susceptibilities and infection prevalence in populations J.
Rocha, P. Pedro ; Lind, Pedro G. On the mathematical analysis of thick fluids J. Solutions for linear conservation laws with gradient constraint Port. The Riemann problem for the Brio system: a solution containing a Dirac mass obtained via a distributional product Russ.
Global solvability of the one-dimensional Cosserat-Bingham fluid equations J. Prediction and predictability in population biology: noise and chaos Math. Non-commutative tomography and signal processing Physica Scripta 90 , no.
- Advanced Nonlinear Studies!
- Walt Disneys Alice in Wonderland?
- Promoting Independence for Older Persons with Disabilities: Selected Papers from the 2006 International Conference on Aging, Disability and Independence: ... Series (Assistive Technology Research);
- A Sourcebook of Nasca Ceramic Iconography: Reading a Culture through Its Art.
Rodrigues, A. No-arbitrage, leverage and completeness in a fractional volatility model Phys. Saraiva, S. Assessing the relation between career satisfaction in psychiatry with lifelong learning and scientific activity Psychiatry Research , no. Are we modeling the correct data set?
Nonlinear Analysis and Differential Equations | CMAF-CIO
Minimizing false predictions for dengue fever in Thailand Epidemiology and Infection , no. Imaging 8 , no. Analysis of the existence for the steady Navier-Stokes equations with anisotropic diffusion Adv. Differential Equations 19 , no. Asymptotic behavior of trembling fluids Nonlinear Anal. Doubly degenerate parabolic equations with variable nonlinearity II: Blow-up and extinction in a finite time Nonlinear Anal.
Embedding theorem for bounded deformations in domains with cusps Math. Media 9 , no. Some problems in optimal control governed by the sweeping process J. Nonlinear Convex Anal. On the regularity of the free boundary for quasilinear obstacle problems Interfaces Free Bound. Inviscid limit for Navier-Stokes equations in domains with permeable boundaries Appl.
Numerical study of the porous medium equation with absorption, variable exponents of nonlinearity and free boundary Appl.
Differential Equations 26 , no. B 19 , no. Sarrico, C. New distributional global solutions for the Hunter-Saxton equation Abstr.
The Brio system with initial conditions involving Dirac masses: a result afforded by a distributional product Chin. B 35 , no. Solids 19 , no. Differential Equations 25 , no. Existence, uniqueness and blowup for hyperbolic equations with nonstandard growth conditions Nonlinear Anal. Pure Appl. Sufficient conditions for existence of solutions to vectorial differential inclusions and applications Houston J.
Mutual inductance between piecewise-linear loops American Journal of Physics 81 , no. The inviscid limit for the Navier-Stokes equations with slip condition on permeable walls J.