نتایج جستجو برای: non simultaneous blow up

تعداد نتایج: 2219095  

2002
Frank Merle Pierre Raphael

We consider the critical nonlinear Schrödinger equation iut = −∆u − |u| 4 N u with initial condition u(0, x) = u0 in dimension N . For u0 ∈ H1, local existence in time of solutions on an interval [0, T ) is known, and there exists finite time blow up solutions, that is u0 such that limt→T<+∞ |ux(t)|L2 = +∞. This is the smallest power in the nonlinearity for which blow up occurs, and is critical...

Journal: :international journal of nonlinear analysis and applications 2015
p. papadopoulos n.l. matiadou a. pappas

we discuss the asymptotic behaviour of solutions for the nonlocal quasilinear hyperbolic problem of kirchhoff type [ u_{tt}-phi (x)||nabla u(t)||^{2}delta u+delta u_{t}=|u|^{a}u,, x in mathbb{r}^{n} ,,tgeq 0;,]with initial conditions $u(x,0) = u_0 (x)$ and $u_t(x,0) = u_1 (x)$, in the case where $n geq 3, ; delta geq 0$ and $(phi (x))^{-1} =g (x)$  is a positive function lying in $l^{n/2}(mathb...

Journal: :IEEE MultiMedia 1996
Erling Wold Thom Blum Douglas Keislar James Wheaton

Many audio and multimedia applications would benefit from the ability to classify and search for audio based on its characteristics. The audio analysis, search, and classification engine described here reduces sounds to perceptual and acoustical features. This lets users search or retrieve sounds by any one feature or a combination of them, by specifying previously learned classes based on thes...

Journal: :Nonlinearity 2021

The dynamics of the 4-body problem allows for two binary collisions to occur simultaneously. It is known that in collinear this simultaneous collision (SBC) can be block-regularised, but resulting block map only $C^{8/3}$ differentiable. In paper, it proved differentiability persists SBC planar problem. proof uses several geometric tools, namely, blow-up, normal forms, near normally hyperbolic ...

Journal: :Advances in Applied Mathematics 2008

Journal: :BIT Numerical Mathematics 2008

Journal: :Proceedings of the American Mathematical Society 2000

Journal: :Journal of High Energy Physics 2008

Journal: :Journal of Functional Analysis 2004

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