Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups
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DOI: 10.1002/mma.70166
Abstract: This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this… read more here.
Keywords: heisenberg groups; dickstein weissler; initial data; cazenave dickstein ... See more keywords
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
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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
Hyperboloidal initial data without logarithmic singularities
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DOI: 10.1007/s10714-025-03424-y
Abstract: Andersson and Chruściel showed that generic asymptotically hyperboloidal initial data sets admit polyhomogeneous expansions, and that only a non-generic subclass of solutions of the conformal constraint equations is free of logarithmic singularities. The purpose of… read more here.
Keywords: logarithmic singularities; asymptotically hyperboloidal; hyperboloidal initial; data without ... 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
Existence of smooth solutions to the Landau equation with hard potentials and irregular initial data
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DOI: 10.1007/s10955-025-03525-7
Abstract: This paper addresses large-data local existence and uniqueness of classical solutions to the inhomogeneous Landau equation in the hard potentials case (including Maxwell molecules). Solutions have previously been constructed by Chaturvedi [SIAM J. Math. Anal.,… read more here.
Keywords: landau equation; existence; equation hard; document ... 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