Two Algorithms for Constructing Solvable Quantum $$N\cdot 2^k$$N·2k and $$N\cdot 3^k$$N·3k-Body Models
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DOI: 10.1007/s00601-018-1447-y
Abstract: In this work, we provide two algorithms to construct solvable quantum many-body models of $$N\cdot 2^k$$N·2k and $$N\cdot 3^k$$N·3k particles. Each algorithm will start with a solvable model and generate a series of solvable Hamiltonians… read more here.
Keywords: solvable quantum; two algorithms; body models; cdot cdot ... See more keywords
Non-local Diffusion Equations Involving the Fractional $$p(\cdot )$$p(·)-Laplacian
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-019-09745-2
Abstract: In this paper we study a class of nonlinear quasi-linear diffusion equations involving the fractional $$p(\cdot )$$p(·)-Laplacian with variable exponents, which is a fractional version of the nonhomogeneous $$p(\cdot )$$p(·)-Laplace operator. The paper is divided… read more here.
Keywords: involving fractional; cdot laplacian; fractional cdot; diffusion equations ... See more keywords
Christoffel Transformation for a Matrix of Bi-variate Measures
Sign Up to like & getrecommendations! Published in 2019 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-019-00947-6
Abstract: We consider the sequences of matrix bi-orthogonal polynomials with respect to the bilinear forms \(\left\langle {\cdot ,\cdot }\right\rangle _{{{\hat{R}}}}\) and \(\left\langle {\cdot ,\cdot }\right\rangle _{{{\hat{L}}}}\) $$\begin{aligned} \begin{array}{cc} \langle P(z_1),Q(z_2)\rangle _{{\hat{R}}}=\displaystyle \int \limits _{{\mathbb {T}}\times {\mathbb… read more here.
Keywords: cdot cdot; rangle hat; right rangle; left langle ... See more keywords
A quantitative study of weak noncovalent interactions in two pyridine isomers containing nitrile and thiophene moieties: a combined X-ray and theoretical investigation
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Chemical Sciences"
DOI: 10.1007/s12039-019-1636-3
Abstract: Single crystals of two pyridine isomers containing cyano and thiophene moieties {systematic names: (Z)-2-(pyridine-2-yl)-3-(thiophen-2-yl)acrylonitrile, $$\hbox {C}_{{12}}\hbox {H}_{{8}}\hbox {N}_{{2}}\hbox {S}$$C12H8N2S, I and (Z)-2-(pyridine-3-yl)-3-(thiophen-2-yl)acrylonitrile, $$\hbox {C}_{{12}}\hbox {H}_{{8}}\hbox {N}_{{2}}\hbox {S}$$C12H8N2S, II} were obtained from ethanol-cyclohexane mixture. The thiophene… read more here.
Keywords: pyridine; hbox hbox; cdot cdot; cdot ... See more keywords
Existence of weak and renormalized solutions of degenerated elliptic equation
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DOI: 10.1007/s13370-019-00682-3
Abstract: We consider the degenerate nonlinear elliptic equation (E) : $${\mathcal {A}}(u)= g-{\text {div}}(f)$$A(u)=g-div(f), where $${\mathcal {A}}(u)=-{\text {div}}(a(x,u,\nabla u))$$A(u)=-div(a(x,u,∇u)) is a Leray-Lions operator defined on $$W_0^{1,p(\cdot )}(\Omega )$$W01,p(·)(Ω) allowed to be non linear degenerated. The main… read more here.
Keywords: elliptic equation; weak renormalized; existence weak; cdot ... See more keywords
gK-algebra associated to polygroups
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DOI: 10.1007/s13370-021-00908-3
Abstract: In this paper, we first introduce a generalized K-algebra (briefly, gK-algebra) $$(P, \cdot , \odot , e, ^{-1})$$ which is constructed on a non-symmetric polygroup $$(P, \cdot , e, ^{-1})$$ , by adjoining binary hyperoperation… read more here.
Keywords: algebra associated; cdot; associated polygroups;
Global dynamics for the generalised chemotaxis-Navier–Stokes system in $\mathbb{R}^3$
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DOI: 10.1017/s0956792525000154
Abstract: We consider the chemotaxis-Navier–Stokes system with generalised fluid dissipation in $\mathbb{R}^3$ : \begin{eqnarray*} \begin{cases} \partial _t n+u\cdot \nabla n=\Delta n- \nabla \cdot (\chi (c)n \nabla c),\\[5pt] \partial _t c+u \cdot \nabla c=\Delta c-nf(c),\\[5pt] \partial _t… read more here.
Keywords: navier stokes; cdot; nabla; chemotaxis navier ... See more keywords
Nonlinear non-periodic homogenization: existence, local uniqueness and estimates
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DOI: 10.1080/00036811.2025.2527785
Abstract: We consider periodic homogenization with localized defects of boundary value problems for semilinear ODE systems of the type $$ \Big((A(x/\varepsilon)+B(x/\varepsilon))u'(x)+c(x,u(x))\Big)'= d(x,u(x)) \mbox{ for } x \in (0,1),\; u(0)=u(1)=0. $$ For small $\varepsilon>0$ we show existence… read more here.
Keywords: mathbb; cdot; varepsilon; local uniqueness ... See more keywords
Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions
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DOI: 10.1103/physrevd.107.074506
Abstract: We present a lattice determination of the leading-order hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment, $a_{\mu}^{\rm HVP}$, in the so-called short and intermediate time-distance windows, $a_{\mu}^{\rm SD}$ and $a_{\mu}^{\rm W}$, defined… read more here.
Keywords: cdot; distance; twisted mass; short intermediate ... See more keywords
Vertical Geometry, 2-A Forward Current Ga 2 O 3 Schottky Rectifiers on Bulk Ga 2 O 3 Substrates
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Electron Devices"
DOI: 10.1109/ted.2018.2838439
Abstract: Large area (up to 0.2 cm2) Ga2O3 rectifiers without edge termination were fabricated on a Si-doped n-Ga2O3 drift layer grown by halide vapor phase epitaxy on a Sn-doped n+Ga2O3 (001) substrate. A forward current of… read more here.
Keywords: temperature; geometry; forward current; vertical geometry ... See more keywords
Small-mass Solutions in a Two-Dimensional Logarithmic Chemotaxis-Navier-Stokes System with Indirect Nutrient Consumption
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Models and Methods in Applied Sciences"
DOI: 10.1142/s0218202525500277
Abstract: This paper is concerned with the singular chemotaxis-fluid system with indirect nutrient consumption: $ n_{t}+u\cdot\nabla n=\Delta n-\nabla\cdot(n S(x,n,v)\cdot \nabla v);\ v_{t}+u\cdot\nabla v=\Delta v-vw;\ w_{t}+u\cdot\nabla w=\Delta w-w+n;\ u_t+(u\cdot\nabla) u=\Delta u-\nabla P+n\nabla\Phi;\ \nabla\cdot u=0\ $ in a… read more here.
Keywords: cdot; system indirect; cdot nabla; nutrient consumption ... See more keywords