Large Time Decay for the Magnetohydrodynamics System in $\dot{\boldsymbol{H}^{s}}(\mathbb{R}^{n})$
Sign Up to like & getrecommendations! Published in 2019 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-019-00276-y
Abstract: We show that $t^{s/2} \| (\boldsymbol{u},\boldsymbol{b})(t) \|_{{\dot{H}^{s}(\mathbb{R}^{n})}} \to0 $ as $t \to\infty$ for global Leray solutions $(\boldsymbol{u},\boldsymbol{b})(t)$ of the incompressible MHD equations, where $2 \leq n \leq4$ and $s \geq0$ (real). We also provide some… read more here.
Keywords: large time; boldsymbol; magnetohydrodynamics; time decay ... See more keywords
Godbillon-Vey helicity and magnetic helicity in magnetohydrodynamics
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Plasma Physics"
DOI: 10.1017/s0022377819000679
Abstract: The Godbillon–Vey invariant occurs in homology theory, and algebraic topology, when conditions for a co-dimension 1, foliation of a three-dimensional manifold are satisfied. The magnetic Godbillon–Vey helicity invariant in magnetohydrodynamics (MHD) is a higher-order helicity… read more here.
Keywords: godbillon vey; boldsymbol; magnetohydrodynamics; helicity ... See more keywords
Negative velocity fluctuations and non-equilibrium fluctuation relation for a driven high critical current vortex state
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DOI: 10.1038/s41598-017-05191-6
Abstract: Under the influence of a constant drive the moving vortex state in 2H-NbS2 superconductor exhibits a negative differential resistance (NDR) transition from a steady flow to an immobile state. This state possesses a high depinning… read more here.
Keywords: velocity; boldsymbol; vortex state; boldsymbol boldsymbol ... See more keywords
Impact of Coulomb Correlations on Magnetic Anisotropy in Mn3Ga Ferrimagnet
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DOI: 10.1038/s41598-017-13276-5
Abstract: Traditional density functional theory (DFT) miserably fails to reproduce the experimental volume and magnetic anisotropy of D022 Mn3Ga, which has recently become one of the most sought-after materials in order to achieve a stable spin… read more here.
Keywords: boldsymbol boldsymbol; spin; anisotropy; magnetic anisotropy ... See more keywords
Single crystal elasticity of natural topaz at high-temperatures
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DOI: 10.1038/s41598-017-17856-3
Abstract: Topaz is an aluminosilicate mineral phase stable in the hydrothermally altered pegmatitic rocks and also in subducted sedimentary lithologies. In nature, topaz often exhibits solid solution between fluorine and hydrous end members. We investigated elasticity… read more here.
Keywords: elasticity; temperature; single crystal; topaz ... See more keywords
Generalized statistical mechanics of cosmic rays: Application to positron-electron spectral indices
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DOI: 10.1038/s41598-018-20036-6
Abstract: Cosmic ray energy spectra exhibit power law distributions over many orders of magnitude that are very well described by the predictions of q-generalized statistical mechanics, based on a q-generalized Hagedorn theory for transverse momentum spectra… read more here.
Keywords: energy; spectral indices; boldsymbol boldsymbol; generalized statistical ... See more keywords
A simple analytic model for predicting the wicking velocity in micropillar arrays
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DOI: 10.1038/s41598-019-56361-7
Abstract: Hemiwicking is the phenomena where a liquid wets a textured surface beyond its intrinsic wetting length due to capillary action and imbibition. In this work, we derive a simple analytical model for hemiwicking in micropillar… read more here.
Keywords: usepackage; boldsymbol lesssim; lesssim boldsymbol; boldsymbol boldsymbol ... See more keywords
Effect of the proton irradiation on the thermally activated flux flow in superconducting SmBCO coated conductors
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DOI: 10.1038/s41598-020-58936-1
Abstract: We investigate changes in the vortex pinning mechanism caused by proton irradiation through the measurement of the in-plane electrical resistivity for H // c in a pristine and two proton-irradiated (total doses of 1 × 10 15… read more here.
Keywords: activated flux; thermally activated; boldsymbol boldsymbol; boldsymbol ... See more keywords
Word and Conjugacy Problems in Groups $$\boldsymbol{G}_{\boldsymbol{k+1}}^{\boldsymbol{k}}$$
Sign Up to like & getrecommendations! Published in 2020 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080220020067
Abstract: Recently the third named author defined a 2-parametric family of groups $$G_{n}^{k}$$ [12]. Those groups may be regarded as a certain generalisation of braid groups. Study of the connection between the groups $$G_{n}^{k}$$ and dynamical… read more here.
Keywords: conjugacy problems; word conjugacy; boldsymbol boldsymbol;