Annals of Global Analysis and Geometry, ISSN 0232-704X, 6/2008, Volume 33, Issue 4, pp. 307 - 321

We prove that a H-surface M in $${\mathbb{H}}^2 \times {\mathbb{R}} ,\vert H\vert \leq 1/2$$ , inherits the symmetries of its boundary $$\partial M,$$ when...

53C42 | Product space $${\mathbb{H}}^2 \times \mathbb {R} | Mathematical and Computational Physics | Rotational H -annulus | Mathematics | Mean curvature $$\leq\frac{1}{2} | Asymptotic boundary | Abresch–Rosenberg holomorphic quadratic differential | Geometry | Vertical graph | Statistics for Business/Economics/Mathematical Finance/Insurance | Analysis | Group Theory and Generalizations | Boundary a circle | Symmetries

53C42 | Product space $${\mathbb{H}}^2 \times \mathbb {R} | Mathematical and Computational Physics | Rotational H -annulus | Mathematics | Mean curvature $$\leq\frac{1}{2} | Asymptotic boundary | Abresch–Rosenberg holomorphic quadratic differential | Geometry | Vertical graph | Statistics for Business/Economics/Mathematical Finance/Insurance | Analysis | Group Theory and Generalizations | Boundary a circle | Symmetries

Journal Article

Acta Mathematica Hungarica, ISSN 0236-5294, 8/2011, Volume 132, Issue 3, pp. 244 - 252

We introduce and study new separation axioms in generalized topological spaces, namely, $\mu\mbox{-}T_{\frac{1}{4}}$ , $\mu \mbox{-}T_{\frac{3}{8}}$ and...

mu\mbox{-}T_{\frac{3}{8}} | 54A10 | 54A05 | μ -closed | 54D10 | mu\mbox{-}T_{\frac{1}{2}} | Mathematics, general | Mathematics | generalized topology | μ -open | mu\mbox{-}T_{\frac{1}{4}} | μ-closed | μ-open | mu-T-1/4 | MATHEMATICS | mu-open | mu-T-3/8 | mu-closed | mu-T-1/2

mu\mbox{-}T_{\frac{3}{8}} | 54A10 | 54A05 | μ -closed | 54D10 | mu\mbox{-}T_{\frac{1}{2}} | Mathematics, general | Mathematics | generalized topology | μ -open | mu\mbox{-}T_{\frac{1}{4}} | μ-closed | μ-open | mu-T-1/4 | MATHEMATICS | mu-open | mu-T-3/8 | mu-closed | mu-T-1/2

Journal Article

Monatshefte für Mathematik, ISSN 0026-9255, 6/2016, Volume 180, Issue 2, pp. 171 - 192

We study nonmetric analogues of Vietoris solenoids. Let $$\Lambda $$ Λ be an ordered continuum, and let $$\vec {p}=\langle p_1,p_2,\ldots \rangle $$ p → = ⟨ p...

frac{1}{\kappa }$$ 1 κ -Homogeneous | Long line | Shape | Indecomposable continuum | 54F20 | 54F15 | Mathematics, general | Mathematics | Nonmetric solenoids | Circle-like

frac{1}{\kappa }$$ 1 κ -Homogeneous | Long line | Shape | Indecomposable continuum | 54F20 | 54F15 | Mathematics, general | Mathematics | Nonmetric solenoids | Circle-like

Journal Article

Acta Mathematica Hungarica, ISSN 0236-5294, 2/2012, Volume 134, Issue 3, pp. 269 - 285

We define ζ μ -sets, (ζ,μ)-closed sets and generalized ζ μ -sets in a generalized topological space and investigate properties of several low separation axioms...

μ - T 1 | 54A05 | (ζ, μ )- R 0 | μ - T 0 | μ - $T_{\frac{1}{2}} | (ζ, μ )- R 1 | 54D10 | Mathematics | (ζ, μ )-closed set | ζ μ -set | Mathematics, general | generalized topological space | μ -open | (ζ,μ)-closed set | set | (ζ,μ)-R | μ-open | μ-T

μ - T 1 | 54A05 | (ζ, μ )- R 0 | μ - T 0 | μ - $T_{\frac{1}{2}} | (ζ, μ )- R 1 | 54D10 | Mathematics | (ζ, μ )-closed set | ζ μ -set | Mathematics, general | generalized topological space | μ -open | (ζ,μ)-closed set | set | (ζ,μ)-R | μ-open | μ-T

Journal Article

Journal of Global Optimization, ISSN 0925-5001, 8/2015, Volume 62, Issue 4, pp. 729 - 747

In this paper, we propose a box-constrained differentiable penalty method for nonlinear complementarity problems, which not only inherits the same convergence...

65K15 | Differentiable penalty method | ell _\frac{1}{p}$$ ℓ 1 p -penalty method | Mathematics | Optimization | 49M30 | Least squares method | Operations Research/Decision Theory | 90C33 | Convergence rate | Nonlinear complementarity problem | Computer Science, general | Real Functions | ℓ1p-penalty method | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | LAGRANGIAN APPROACH | l(1/p)-penalty method | INEQUALITY | EQUATIONS | Mathematical analysis | Texts | Nonlinearity | Mathematical models | Gauss-Newton method | Convergence

65K15 | Differentiable penalty method | ell _\frac{1}{p}$$ ℓ 1 p -penalty method | Mathematics | Optimization | 49M30 | Least squares method | Operations Research/Decision Theory | 90C33 | Convergence rate | Nonlinear complementarity problem | Computer Science, general | Real Functions | ℓ1p-penalty method | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | LAGRANGIAN APPROACH | l(1/p)-penalty method | INEQUALITY | EQUATIONS | Mathematical analysis | Texts | Nonlinearity | Mathematical models | Gauss-Newton method | Convergence

Journal Article

Journal of Mathematical Sciences, ISSN 1072-3374, 1/2013, Volume 188, Issue 2, pp. 113 - 127

We study the approximation of functions by linear polynomial means of their Fourier series with a function-multiplier φ that is equal to 1 not only at zero, in...

moduli of smoothness | multiplier | K -functional | Mathematics, general | Mathematics | Wiener’s $$ \frac{1}{f} $$ theorem | Fourier series | principle of comparison of multipliers | Fourier transformation of a measure | K-functional | Wiener's 1/f theorem

moduli of smoothness | multiplier | K -functional | Mathematics, general | Mathematics | Wiener’s $$ \frac{1}{f} $$ theorem | Fourier series | principle of comparison of multipliers | Fourier transformation of a measure | K-functional | Wiener's 1/f theorem

Journal Article

Journal of Petroleum Science and Engineering, ISSN 0920-4105, 11/2019, Volume 182, p. 106255

In this article, several parameters that affect the propagation of hydraulic fractures initiated from a horizontal infill well are investigated. Infill wells...

Stress redistribution | Hydraulic fracture propagation | Refracturing | Frac-hit | Infill well fracturing | Reservoir pressure depletion | ENERGY & FUELS | DISPLACEMENT DISCONTINUITY METHOD | STRESS | ENGINEERING, PETROLEUM

Stress redistribution | Hydraulic fracture propagation | Refracturing | Frac-hit | Infill well fracturing | Reservoir pressure depletion | ENERGY & FUELS | DISPLACEMENT DISCONTINUITY METHOD | STRESS | ENGINEERING, PETROLEUM

Journal Article

Indian Journal of Physics, ISSN 0973-1458, 1/2018, Volume 92, Issue 1, pp. 111 - 119

In this article the solitary wave solutions of generalized fractional Zakharov-Kuznetsov (GZK) equation which appear in the electrical transmission line model...

Physics, general | Astrophysics and Astroparticles | Generalized fractional Zakharov-Kuznetsov equation | Physics | Local fractional calculus | ( $$\frac{G'}{G}$$ G ′ G )-expansion method | (G′G)-expansion method | (G '/G)-expansion method | (G'/G)-EXPANSION METHOD | SOLITONS | EVOLUTION | 1ST INTEGRAL METHOD | PHYSICS, MULTIDISCIPLINARY | NONLINEARITY | DIFFERENTIAL-EQUATIONS | PLASMAS | Electricity distribution | Nonlinear equations | Differential equations

Physics, general | Astrophysics and Astroparticles | Generalized fractional Zakharov-Kuznetsov equation | Physics | Local fractional calculus | ( $$\frac{G'}{G}$$ G ′ G )-expansion method | (G′G)-expansion method | (G '/G)-expansion method | (G'/G)-EXPANSION METHOD | SOLITONS | EVOLUTION | 1ST INTEGRAL METHOD | PHYSICS, MULTIDISCIPLINARY | NONLINEARITY | DIFFERENTIAL-EQUATIONS | PLASMAS | Electricity distribution | Nonlinear equations | Differential equations

Journal Article

石油科学：英文版, ISSN 1672-5107, 2017, Volume 14, Issue 4, pp. 731 - 745

In petroleum engineering, the transport phe-nomenon of proppants in a fracture caused by hydraulicfracturing is captured by hyperbolic partial...

Proppant;transport;;;Hyperbolic;partialdifferential;equations;;;Frac;pack;;;Hydraulic;fracturing | Earth Sciences | Hyperbolic partial differential equations | Frac pack | Industrial and Production Engineering | Energy Economics | Mineral Resources | Industrial Chemistry/Chemical Engineering | Proppant transport | Hydraulic fracturing | ENERGY & FUELS | EQUATIONS | SYSTEMS | CONSERVATION-LAWS | FLOWS | DIFFERENCE-SCHEMES | SIMULATION | ENGINEERING, PETROLEUM | Numerical analysis | Oil wells | Analysis | Differential equations | Green technology | Models | Evaluation | Computer simulation | Partial differential equations | Methodology | Numerical methods | Petroleum engineering | Oscillations | Finite volume method | Regions | Petroleum | Equations | Shock waves | Accuracy | Fractures | Simulation | Modelling | Mathematical models | Transport | Finite difference method

Proppant;transport;;;Hyperbolic;partialdifferential;equations;;;Frac;pack;;;Hydraulic;fracturing | Earth Sciences | Hyperbolic partial differential equations | Frac pack | Industrial and Production Engineering | Energy Economics | Mineral Resources | Industrial Chemistry/Chemical Engineering | Proppant transport | Hydraulic fracturing | ENERGY & FUELS | EQUATIONS | SYSTEMS | CONSERVATION-LAWS | FLOWS | DIFFERENCE-SCHEMES | SIMULATION | ENGINEERING, PETROLEUM | Numerical analysis | Oil wells | Analysis | Differential equations | Green technology | Models | Evaluation | Computer simulation | Partial differential equations | Methodology | Numerical methods | Petroleum engineering | Oscillations | Finite volume method | Regions | Petroleum | Equations | Shock waves | Accuracy | Fractures | Simulation | Modelling | Mathematical models | Transport | Finite difference method

Journal Article

Journal of Natural Gas Science and Engineering, ISSN 1875-5100, 10/2017, Volume 46, pp. 93 - 107

In recent years, developments in the oil and gas industry have evolved significantly in advancing the mechanical systems technology to perform hydraulic...

Non-planar crack propagation | Cohesive phantom node method | Stress shadowing effect | Hydraulic fracturing | Modified Zipper-Frac design | ENGINEERING, CHEMICAL | IMPACT | TOUGHNESS | ENERGY & FUELS | MODEL | FINITE-ELEMENT-METHOD | DAMAGE | Technology application | Oil wells | Stress relieving (Materials) | Usage | Computer-generated environments | Computer simulation | Strains and stresses | Analysis | Design and construction | Stress relaxation (Materials)

Non-planar crack propagation | Cohesive phantom node method | Stress shadowing effect | Hydraulic fracturing | Modified Zipper-Frac design | ENGINEERING, CHEMICAL | IMPACT | TOUGHNESS | ENERGY & FUELS | MODEL | FINITE-ELEMENT-METHOD | DAMAGE | Technology application | Oil wells | Stress relieving (Materials) | Usage | Computer-generated environments | Computer simulation | Strains and stresses | Analysis | Design and construction | Stress relaxation (Materials)

Journal Article

Journal of Superconductivity and Novel Magnetism, ISSN 1557-1939, 1/2014, Volume 27, Issue 1, pp. 163 - 170

Here, particular focus is placed on the atomic alignment and the order–disorder phase transition of the FePt alloy with the aid of a model that can describe...

Condensed Matter Physics | Order–disorder transition | Anneal temperature | Order parameter | Coercivity | Magnetic nanoparticles | frac{c}{a}$ ratio | Characterization and Evaluation of Materials | Random exchange interaction | Strongly Correlated Systems, Superconductivity | Physics | Magnetism, Magnetic Materials | Order-disorder transition | c/a ratio | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | NANOCRYSTALS | ANISOTROPY | Nanoparticles | Anisotropy | Analysis | Alloys | Magnetic properties | Annealing

Condensed Matter Physics | Order–disorder transition | Anneal temperature | Order parameter | Coercivity | Magnetic nanoparticles | frac{c}{a}$ ratio | Characterization and Evaluation of Materials | Random exchange interaction | Strongly Correlated Systems, Superconductivity | Physics | Magnetism, Magnetic Materials | Order-disorder transition | c/a ratio | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | NANOCRYSTALS | ANISOTROPY | Nanoparticles | Anisotropy | Analysis | Alloys | Magnetic properties | Annealing

Journal Article

中国科学：技术科学英文版, ISSN 1674-7321, 2012, Volume 55, Issue 6, pp. 1725 - 1731

The worldwide proven recoverable reserves of conventional oil are less than the amount of the heavy oil. Owing to weakly consolidated formation, sand...

疏松砂岩 | 稠油油藏 | 优化 | 几何形态 | 裂缝 | 包装 | 压裂充填技术 | 数值模拟模型 | Engineering | frac-pack technique | unconsolidated sandstone heavy oil reservoirs | Engineering, general | parameter optimization | Proppant Number | numerical simulation | ENGINEERING, MULTIDISCIPLINARY | MATERIALS SCIENCE, MULTIDISCIPLINARY | Drainage | Productivity | Fracture mechanics | Sand | Computer simulation | Reservoirs | Mathematical models | Optimization

疏松砂岩 | 稠油油藏 | 优化 | 几何形态 | 裂缝 | 包装 | 压裂充填技术 | 数值模拟模型 | Engineering | frac-pack technique | unconsolidated sandstone heavy oil reservoirs | Engineering, general | parameter optimization | Proppant Number | numerical simulation | ENGINEERING, MULTIDISCIPLINARY | MATERIALS SCIENCE, MULTIDISCIPLINARY | Drainage | Productivity | Fracture mechanics | Sand | Computer simulation | Reservoirs | Mathematical models | Optimization

Journal Article

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