site stats

Blowup for biharmonic nls

WebBlowup for Biharmonic NLS Boulenger, Thomasand Lenzmann, Enno. Preprints Fachbereich Mathematik, 2015 (17). PDF- Published Version 1055Kb Official URL: … WebIn the mass-critical case a = 4/d, we prove a general blowup result in finite or infinite time for radial data in H-2 (R-d). As a key ingredient, we utilize the time evolution of a …

(PDF) Strong Instability of Ground States to a Fourth

WebNov 21, 2024 · It is proved that the blowup rate is bounded by a quartic-root, the solution approaches a quasi–self-similar profile, and a finite amount of $L^2$-norm, which is no less than the critical power, concentrates into the singularity. 35 PDF Some remarks on the inhomogeneous biharmonic NLS equation Carlos M. Guzm'an, A. Pastor Mathematics WebSep 29, 2015 · Profile decompositions and Blowup phenomena of mass critical fractional Schr\"odinger equations. We study, under the radial symmetry assumption, the solutions to the fractional Schr\"odinger equations of critical nonlinearity in $\mathbb R^ {1+d}, d \geq 2$, with L\' {e}vy index $ {2d}/ ( {2d-1}) <…. Expand. free color online ball sort game https://3s-acompany.com

Biharmonic nonlinear Schrödinger equation and the

WebJul 2, 2013 · The study of biharmonic (fourth-order) nonlinear Schrödinger equations (NLS) has attracted a significant amount of attention in the recent past; see e. g. [17,1,12,19,20, 21, 6,3,5,4,10]. The ... Websingular solutions of the supercritical biharmonic NLS. These solutions have a quartic-root blowup rate, and collapse with a quasi self-similar universal profile, which is a ... than that for the critical NLS. Indeed, a rigorous proof of the blowup rate and blowup profile of the supercritical NLS was obtained very recently, and only in the ... WebMay 17, 2024 · Blowup of cylindrically symmetric solutions for biharmonic NLS Tian-Xiang Gou Published 17 May 2024 Mathematics A BSTRACT . In this paper, we consider … free color matching game

Singular solutions of the L2-supercritical biharmonic …

Category:aNNALES SCIENnIFIQUES d L ÉCOLE h ORMALE SUPÉRIEU kE

Tags:Blowup for biharmonic nls

Blowup for biharmonic nls

Biharmonic nonlinear Schrödinger equation and the

WebIn the mass-critical case $\sigma=4/d$, we prove a general blowup result in finite or infinite time for radial data in $H^2 (\mathbb {R}^d)$. As a key ingredient, we utilize the time … Blowup for Biharmonic NLS Thomas Boulenger, Enno Lenzmann We consider the Cauchy problem for the biharmonic (i.\,e.~fourth-order) NLS with focusing nonlinearity given by for , where for and for ; and is some parameter to include a possible lower-order dispersion.

Blowup for biharmonic nls

Did you know?

WebOct 21, 2024 · DOI: 10.3934/DCDSB.2024156 Corpus ID: 224819864; Local well-posedness and finite time blowup for fourth-order Schrödinger equation with complex coefficient @article{Liu2024LocalWA, title={Local well-posedness and finite time blowup for fourth-order Schr{\"o}dinger equation with complex coefficient}, author={Xuan Liu and … WebMar 6, 2015 · Our findings appear to be the first rigorous results on upper bounds and existence of blowup solutions for biharmonic NLS. As a key ingredient, we utilize the …

WebWe prove that the blowup rate is bounded by a quartic-root, the solution approaches a quasi–self-similar profile, and a finite amount of L 2 -norm, which is no less than the … WebNov 17, 2015 · Later, Fibich et al. [10] carried out a rigorous survey to biharmonic NLS from mathematical point of views and proved global existence in time of solutions to the Cauchy problem for (1.1).

WebBLOWUP FOR BIHARMONIC NLS by Thomas BOULENGER and Enno LENZMANN Abstract. — We consider the Cauchy problem for the biharmonic (i.e., fourth-order) NLS … WebMay 17, 2024 · In the mass critical and supercritical cases, we establish the existence of blowup solutions to the problem for cylindrically symmetric data. Our result extends the …

WebAug 1, 2009 · Our findings appear to be the first rigorous results on upper bounds and existence of blowup solutions for biharmonic NLS. As a key ingredient, we utilize the time evolution of a nonnegative ...

WebBLOWUP FOR BIHARMONIC NLS by Thomas BOULENGER and Enno LENZMANN Abstract. — We consider the Cauchy problem for the biharmonic (i.e., fourth-order) NLS with focusing nonlinearity given by i@tuD†2u †ujuj2˙u for .t;x/2„0;T/ Rd; where 0<˙<1for d 6 4and 0<˙6 4=.d 4/for d > 5; and 2R is some parameter to include a possible lower-order ... blood bubble in cheekWebSep 1, 2024 · This extends the first rigorous results on blowing-up solutions for the biharmonic NLS due to Boulenger and Lenzmann [9] and confirm numerical conjectures from [1, 2, 3, 11]. ... (1.1) and a blow ... free color page for kidsWebFeb 19, 2024 · Our findings appear to be the first rigorous results on upper bounds and existence of blowup solutions for biharmonic NLS. As a key ingredient, we utilize the … blood bubble in headWebMar 5, 2015 · Blowup for Biharmonic NLS. We consider the Cauchy problem for the biharmonic (i.\,e.~fourth-order) NLS with focusing nonlinearity given by $i … free coloring truck picturesWebJan 31, 2024 · Scattering for the non-radial inhomogenous biharmonic NLS equation. 14 June 2024. Luccas Campos & Carlos M. Guzmán. Scattering Theory for a Class of … blood bubble inside mouthWebMar 20, 2024 · Our findings appear to be the first rigorous results on upper bounds and existence of blowup solutions for biharmonic NLS. As a key ingredient, we utilize the time evolution of a nonnegative ... free coloring valentines day cardsWebThis extends the first rigorous results on blowing-up solutions for the biharmonic NLS due to Boulenger and Lenzmann [9] and confirm numerical conjectures from [1, 2, 3, 11]. Normalized... free color pages cat