Convergence of approximating solutions of the Navier–Stokes equations in higher ordered Sobolev norms
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DOI: 10.1002/mana.12009
Abstract: We show that the approximating solutions {uj}j=0∞$\lbrace u_j\rbrace _{j=0}^{\infty }$ of the Navier–Stokes equations constructed by Kato with the initial data u(0)∈Lσn(Rn)$u(0) \in L_{\sigma }^{n}(\mathbb {R}^{n})$ converge to the local strong solution u$u$ in the… read more here.
Keywords: approximating solutions; mathbb; navier stokes; convergence approximating ... See more keywords
Totally geodesic Lagrangian submanifolds of the pseudo‐nearly Kähler SL(2,R)×SL(2,R)$\mathrm{SL}(2,\mathbb {R})\times \mathrm{SL}(2,\mathbb {R})$
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DOI: 10.1002/mana.202300351
Abstract: In this paper, we study Lagrangian submanifolds of the pseudo‐nearly Kähler SL(2,R)×SL(2,R)$\mathrm{SL}(2,\mathbb {R})\times \mathrm{SL}(2,\mathbb {R})$ . First, we show that they split into four different classes depending on their behavior with respect to a certain… read more here.
Keywords: mathrm mathbb; mathbb; pseudo nearly; submanifolds pseudo ... See more keywords
On non‐Hopf Ricci‐pseudosymmetric hypersurfaces in CP2$\mathbb {C}P^{2}$ and CH2$\mathbb {C}H^{2}$
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DOI: 10.1002/mana.202300463
Abstract: In this paper, we study an open problem raised by Cecil and Ryan [Geometry of Hypersurfaces, Springer Monographs in Mathematics, p. 531] which asked whether there exist non‐Hopf Ricci‐pseudosymmetric hypersurfaces in CP2$\mathbb {C}P^{2}$ and CH2$\mathbb… read more here.
Keywords: mathbb; ricci pseudosymmetric; hopf ricci; non hopf ... See more keywords
Tensionless string spectra on AdS3
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DOI: 10.1007/jhep05(2018)085
Abstract: A bstractThe spectrum of superstrings on AdS3 × S3 × M$$ \mathbb{M} $$4 with pure NS-NS flux is analysed for the background where the radius of the AdS space takes the minimal value (k =… read more here.
Keywords: tensionless string; string spectra; mathbb; spectra ads3 ... See more keywords
Immersion in $$\mathbb {R}^n$$Rn by Complex Spinors
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DOI: 10.1007/s00006-018-0856-9
Abstract: A beautiful solution to the problem of isometric immersions in $$\mathbb {R}^n$$Rn using spinors was found by Bayard et al. (Pac J Math, arXiv:1505.02935v4 [math-ph], 2016). However to use spinors one must assume that the… read more here.
Keywords: text spin; complex spinors; immersion mathbb; spin ... See more keywords
More on Modified Spherical Harmonics
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DOI: 10.1007/s00006-019-0990-z
Abstract: A modification of the classical theory of spherical harmonics is presented. The space $${\mathbb {R}}^d = \{(x_1,\ldots ,x_d)\}$$ is replaced by the upper half space $${{\mathbb {R}}}_{+}^{d}=\left\{ (x_1,\ldots ,x_d), x_d > 0 \right\} $$ ,… read more here.
Keywords: mathbb; harmonics; modified spherical; spherical harmonics ... See more keywords
On Submanifolds with 2-Type Pseudo-Hyperbolic Gauss Map in Pseudo-Hyperbolic Space
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DOI: 10.1007/s00009-016-0819-0
Abstract: In this paper, we study pseudo-Riemannian submanifolds of a pseudo-hyperbolic space $$\mathbb H^{m-1}_s (-1) \subset \mathbb E^m_{s+1}$$Hsm-1(-1)⊂Es+1m with 2-type pseudo-hyperbolic Gauss map. We give a characterization of proper pseudo-Riemannian hypersurfaces in $$\mathbb H^{n+1}_s (-1) \subset… read more here.
Keywords: pseudo hyperbolic; type pseudo; mathbb; hyperbolic gauss ... See more keywords
Ground State Solutions for Asymptotically Periodic Kirchhoff-Type Equations with Asymptotically Cubic or Super-cubic Nonlinearities
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DOI: 10.1007/s00009-017-1010-y
Abstract: This paper is concerned with the following Kirchhoff-type equation $$\begin{aligned} -\left( a+b\int _{\mathbb {R}^3}|\nabla {u}|^2\mathrm {d}x\right) \triangle u+V(x)u=f(x, u), \quad x\in \mathbb {R}^{3}, \end{aligned}$$-a+b∫R3|∇u|2dx▵u+V(x)u=f(x,u),x∈R3,where $$V\in \mathcal {C}(\mathbb {R}^{3}, (0,\infty ))$$V∈C(R3,(0,∞)), $$f\in \mathcal {C}({\mathbb {R}}^{3}\times \mathbb… read more here.
Keywords: tau; asymptotically periodic; frac; mathbb ... See more keywords
Alexandroff Topology of Algebras Over an Integral Domain
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DOI: 10.1007/s00009-020-1502-z
Abstract: Let S be an integral domain with field of fractions F and let A be an F -algebra. An S -subalgebra R of A is called S -nice if R is lying over S and… read more here.
Keywords: algebras integral; alexandroff topology; topology; integral domain ... See more keywords
The archetypal equation and its solutions attaining the global extremum
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DOI: 10.1007/s00010-020-00762-x
Abstract: Let $$(\Omega , \mathcal {F}, \mathbb {P})$$ be a probability space and let $$\alpha , \beta : \mathcal {F} \rightarrow ~\mathbb {R}$$ be random variables. We provide sufficient conditions under which every bounded continuous solution… read more here.
Keywords: equation solutions; archetypal equation; attaining global; mathbb ... See more keywords
On discrete universality of the Riemann zeta-function with respect to uniformly distributed shifts
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DOI: 10.1007/s00013-016-0998-8
Abstract: The Voronin universality theorem asserts that a wide class of analytic functions can be approximated by shifts $$\zeta (s+i\tau )$$ζ(s+iτ), $$\tau \in \mathbb {R}$$τ∈R, of the Riemann zeta-function. In the paper, we obtain a universality… read more here.
Keywords: zeta function; uniformly distributed; universality; riemann zeta ... See more keywords