Non-genericity of initial data with punctual $$\omega $$-limit set
Sign Up to like & getrecommendations! Published in 2019 at "Archiv der Mathematik"
DOI: 10.1007/s00013-019-01377-8
Abstract: We show the existence of a non-linear differential equation of gradient type for which the set of initial values for which the corresponding solution converges to a point is non-generic. read more here.
Keywords: non genericity; punctual omega; genericity initial; omega limit ... See more keywords
On Classical Solutions for Viscous Polytropic Fluids with Degenerate Viscosities and Vacuum
Sign Up to like & getrecommendations! Published in 2019 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-019-01412-6
Abstract: In this paper, we consider the three-dimensional isentropic Navier-Stokes equations for compressible fluids with viscosities depending on density in a power law and allowing initial vacuum. We introduce the notion of regular solutions and prove… read more here.
Keywords: solutions viscous; viscous polytropic; vacuum; initial data ... See more keywords
Construction of Initial Data Sets for Lorentzian Manifolds with Lightlike Parallel Spinors
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DOI: 10.1007/s00220-021-04172-1
Abstract: Lorentzian manifolds with parallel spinors are important objects of study in several branches of geometry, analysis and mathematical physics. Their Cauchy problem has recently been discussed by Baum, Leistner and Lischewski, who proved that the… read more here.
Keywords: parallel spinors; construction initial; physics; lorentzian manifolds ... See more keywords
Conditions and Initial Data for Reconstructing the Environmental Radioactive Contamination and Population Dose Loads Resulting from a Nuclear Accident on a Nuclear Submarine in Bukhta Chazhma
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DOI: 10.1007/s10512-019-00596-0
Abstract: Refined initial data are presented for retrospective prediction and analysis of the radiation conditions in Primorskii Krai after a nuclear accident on a nuclear submarine on August 10, 1985 in Bukhta Chazhma. The initial and… read more here.
Keywords: nuclear accident; accident; contamination; accident nuclear ... See more keywords
Rigidity of outermost MOTS: the initial data version
Sign Up to like & getrecommendations! Published in 2017 at "General Relativity and Gravitation"
DOI: 10.1007/s10714-018-2353-9
Abstract: In the paper Commun Anal Geom 16(1):217–229, 2008, a rigidity result was obtained for outermost marginally outer trapped surfaces (MOTSs) that do not admit metrics of positive scalar curvature. This allowed one to treat the… read more here.
Keywords: rigidity result; data version; topology; rigidity ... See more keywords
RIO: a new computational framework for accurate initial data of binary black holes
Sign Up to like & getrecommendations! Published in 2018 at "General Relativity and Gravitation"
DOI: 10.1007/s10714-018-2393-1
Abstract: We present a computational framework (Rio) in the ADM 3+1 approach for numerical relativity. This work enables us to carry out high resolution calculations for initial data of two arbitrary black holes. We use the… read more here.
Keywords: rio new; computational framework; black holes; new computational ... See more keywords
The Nonlinear Schrödinger Equation on Z and R with Bounded Initial Data: Examples and Conjectures
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DOI: 10.1007/s10955-020-02552-w
Abstract: We study the nonlinear Schrödinger equation (NLS) with bounded initial data which does not vanish at infinity. Examples include periodic, quasi-periodic and random initial data. On the lattice we prove that solutions are polynomially bounded… read more here.
Keywords: schr dinger; bounded initial; nonlinear schr; dinger equation ... See more keywords
Global Well-Posedness of the Generalized Incompressible Navier–Stokes Equations with Large Initial Data
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-019-00818-5
Abstract: This paper is concerned with the global well-posedness of the n -dimensional generalized incompressible Navier–Stokes equations with initial data in the critical Besov space. By fully using the advantage of suitable weighted functions and the… read more here.
Keywords: incompressible navier; global well; initial data; navier stokes ... See more keywords
On the existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space Mp,q(R)
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DOI: 10.1016/j.jde.2017.04.020
Abstract: Abstract We prove global existence for the one-dimensional cubic nonlinear Schrodinger equation in modulation spaces M p , p ′ for p sufficiently close to 2. In contrast to known results, [9] and [14] ,… read more here.
Keywords: modulation; dimensional cubic; existence; one dimensional ... See more keywords
Optimal decay rates of isentropic compressible Navier-Stokes equations with discontinuous initial data
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DOI: 10.1016/j.jde.2020.06.021
Abstract: Abstract The global-in-time solutions with discontinuous initial data, when the density has no regularity, are constructed in [10] , [11] , [12] for the isentropic compressible Navier-Stokes equations in multi-dimensional spaces. The time decay rates… read more here.
Keywords: compressible navier; isentropic compressible; decay rates; discontinuous initial ... See more keywords
Non-uniform continuity on initial data for a Camassa-Holm-type equation in Besov space
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DOI: 10.1016/j.jmaa.2020.124621
Abstract: Abstract In this paper, with special choices of a sequence of low frequency and high frequency initial data g n , f n , based on the established existence estimates, by showing that the difference… read more here.
Keywords: holm type; camassa holm; initial data; non uniform ... See more keywords