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Modelling and computation of liquid crystals (Q5887833)

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scientific article; zbMATH DE number 7674577

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English	Modelling and computation of liquid crystals	scientific article; zbMATH DE number 7674577

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scholarly article

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Modelling and computation of liquid crystals (English)

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publication date

14 April 2023

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full work available at URL

https://arxiv.org/abs/2104.02250

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Well-Posedness of a Fully Coupled Navier--Stokes/Q-tensor System with Inhomogeneous Boundary Data

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An Energy-Minimization Finite-Element Approach for the Frank--Oseen Model of Nematic Liquid Crystals

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Constrained Optimization for Liquid Crystal Equilibria

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A New Algorithm For Computing Liquid Crystal Stable Configurations: The Harmonic Mapping Case

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Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation

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Finite element approximation of nematic liquid crystal flows using a saddle-point structure

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An overview on numerical analyses of nematic liquid crystal flows

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A mesh adaptivity scheme on the Landau-de Gennes functional minimization case in 3D, and its driving efficiency

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Liquid crystals and their defects

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Orientability and energy minimization in liquid crystal models

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Analysis of nematic liquid crystals with disclination lines

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Finite Element Approximations of the Ericksen–Leslie Model for Nematic Liquid Crystal Flow

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A structure-preserving FEM for the uniaxially constrained \(\mathbf{Q} \)-tensor model of nematic liquid crystals

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Harmonic maps with defects

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Global well-posedness for the three dimensional simplified inertial Ericksen-Leslie systems near equilibrium

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A stable scheme and its convergence analysis for a 2D dynamic Q-tensor model of nematic liquid crystals

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Biaxiality in the asymptotic analysis of a 2D Landau−de Gennes model for liquid crystals

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Line defects in the small elastic constant limit of a three-dimensional Landau-de Gennes model

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Order Reconstruction for Nematics on Squares and Hexagons: A Landau--de Gennes Study

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Local minimizer and de Giorgi's type conjecture for the isotropic-nematic interface problem

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The Kinematic Effects of the Defects in Liquid Crystal Dynamics

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Second Order, Linear, and Unconditionally Energy Stable Schemes for a Hydrodynamic Model of Smectic-A Liquid Crystals

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On the stationary solutions of the 2D Doi-Onsager model

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Weak Stability of The Map x/|x| For Liquid Crystal Functionals

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Theory and applications of liquid crystals

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Finite Element Analysis of the Landau--de Gennes Minimization Problem for Liquid Crystals

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Lattice Boltzmann algorithm for three–dimensional liquid–crystal hydrodynamics

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The phase field method for geometric moving interfaces and their numerical approximations

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A constrained string method and its numerical analysis

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Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals

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Nonlinear continuum theory of smectic-\(A\) liquid crystals

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A molecular kinetic theory of inhomogeneous liquid crystal flow and the small Deborah number limit

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The gentlest ascent dynamics

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Minimum action method for the study of rare events

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The Global Dynamics of Discrete Semilinear Parabolic Equations

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Liquid crystals with variable degree of orientation

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Deflation Techniques for Finding Distinct Solutions of Nonlinear Partial Differential Equations

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Critical points of the Onsager functional on a sphere

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Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits

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Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model

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On minimizers of a Landau-de Gennes energy functional on planar domains

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A splitting in time scheme and augmented Lagrangian method for a nematic liquid crystal problem

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A linear mixed finite element scheme for a nematic Ericksen–Leslie liquid crystal model

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From microscopic theory to macroscopic theory: a systematic study on modeling for liquid crystals

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Transition pathways between defect patterns in confined nematic liquid crystals

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A Reduced Study for Nematic Equilibria on Two-Dimensional Polygons

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Solution landscape of a reduced Landau–de Gennes model on a hexagon

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A bootstrapping approach for computing multiple solutions of differential equations

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Existence and partial regularity of static liquid crystal configurations

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Dynamics of nematic liquid crystal flows: the quasilinear approach

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Constitutive equations in suspension mechanics. Part 2. Approximate forms for a suspension of rigid particles affected by Brownian rotations

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Global existence of solutions of the simplified Ericksen-Leslie system in dimension two

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Global existence of solutions of the liquid crystal flow for the Oseen-Frank model in \(\mathbb R^2\)

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On the Disclination Lines of Nematic Liquid Crystals

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Global well-posedness for the dynamical \(Q\)-tensor model of liquid crystals

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Regularity and existence of global solutions to the Ericksen-Leslie system in \({\mathbb{R}^2}\)

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Finite time singularity of the nematic liquid crystal flow in dimension three

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Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals

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On Well-Posedness of Ericksen--Leslie's Hyperbolic Incompressible Liquid Crystal Model

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Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method

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Order reconstruction patterns in nematic liquid crystal wells

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Some properties of the nematic radial hedgehog in the Landau-de Gennes theory

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Uniaxial symmetry in nematic liquid crystals

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Some constitutive equations for liquid crystals

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Local well-posedness and small Deborah limit of a molecule-based \(Q\)-tensor system

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Analysis of \(1+1\) dimensional stochastic models of liquid crystal polymer flows

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A Minimax Method for Finding Multiple Critical Points and Its Applications to Semilinear PDEs

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Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena

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On nematic liquid crystals with variable degree of orientation

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Nonparabolic dissipative systems modeling the flow of liquid crystals

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Partial regularity of the dynamic system modeling the flow of liquid crystals

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Recent developments of analysis for hydrodynamic flow of nematic liquid crystals

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Global Existence of Weak Solutions of the Nematic Liquid Crystal Flow in Dimension Three

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Liquid crystal flows in two dimensions

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Phase transition for potentials of high-dimensional wells

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Simulations of singularity dynamics in liquid crystal flows: a \(C^0\) finite element approach

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An energy law preserving \(C^0\) finite element scheme for simulating the kinematic effects in liquid crystal dynamics

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Approximation of Liquid Crystal Flows

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Mixed Methods for the Approximation of Liquid Crystal Flows

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On Lagrangian schemes for porous medium type generalized diffusion equations: a discrete energetic variational approach

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A Variational Lagrangian Scheme for a Phase-Field Model: A Discrete Energetic Variational Approach

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Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential

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On the initial boundary value problem of a Navier-Stokes/\(Q\)-tensor model for liquid crystals

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The Oseen-Frank limit of Onsager's molecular theory for liquid crystals

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The small Deborah number limit of the Doi-Onsager equation without hydrodynamics

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The radial-hedgehog solution in Landau–de Gennes' theory for nematic liquid crystals

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Remarks on uniaxial solutions in the Landau-de Gennes theory

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Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond

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Front Propagation at the Nematic-Isotropic Transition Temperature

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Disclination core structure and induced phase change in nematic liquid crystals

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Orientational order on surfaces: the coupling of topology, geometry, and dynamics

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Refined approximation for minimizers of a Landau-de Gennes energy functional

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Nematic liquid crystals on curved surfaces: a thin film limit

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A Finite Element Method for Nematic Liquid Crystals with Variable Degree of Orientation

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Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system

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On minimizers for the isotropic-nematic interface problem

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Transition of Defect Patterns from 2D to 3D in Liquid Crystals

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Computational fluid dynamics for nematic liquid crystals

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Optimization-Based String Method for Finding Minimum Energy Path

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Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

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The scalar auxiliary variable (SAV) approach for gradient flows

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A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

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Axisymmetric configurations of bipolar liquid crystal droplets

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Morphological characterization of the diblock copolymer problem with topological computation

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Oseen–Frank-type theories of ordered media as the Γ-limit of a non-local mean-field free energy

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Defects Around a Spherical Particle in Cholesteric Liquid Crystals

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Trajectory-following algorithms for min-max optimization problems

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Critical points and bifurcations of the three-dimensional Onsager model for liquid crystals

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Inertial manifolds for a Smoluchowski equation on the unit sphere

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A finite element method for the generalized Ericksen model of nematic liquid crystals

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Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations

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Well-posedness of the Ericksen-Leslie system

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Rigorous Derivation from Landau--de Gennes Theory to Ericksen--Leslie Theory

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The Small Deborah Number Limit of the Doi‐Onsager Equation to the Ericksen‐Leslie Equation

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Order Reconstruction for Nematics on Squares with Isotropic Inclusions: A Landau--De Gennes Study

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Strictly physical global weak solutions of a Navier-Stokes \(Q\)-tensor system with singular potential

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From microscopic theory to macroscopic theory -- symmetries and order parameters of rigid molecules

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On the stability and accuracy of partially and fully implicit schemes for phase field modeling

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A Tensor Model for Nematic Phases of Bent-Core Molecules Based on Molecular Theory

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Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

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Searching the solution landscape by generalized high-index saddle dynamics

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High-Index Optimization-Based Shrinking Dimer Method for Finding High-Index Saddle Points

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A kinetic-hydrodynamic simulation of microstructure of liquid crystal polymers in plane shear flow

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A Nonhomogeneous Kinetic Model of Liquid Crystal Polymers and Its Thermodynamic Closure Approximation

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Disclinations in limiting Landau-de Gennes theory

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A diffuse-interface method for simulating two-phase flows of complex fluids

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Stable dynamic states at the nematic liquid crystals in weak shear flow

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On the New Multiscale Rodlike Model of Polymeric Fluids

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Shrinking Dimer Dynamics and Its Applications to Saddle Point Search

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Optimization-based Shrinking Dimer Method for Finding Transition States

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Semi-discrete energy-stable schemes for a tensor-based hydrodynamic model of nematic liquid crystal flows

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A novel linear second order unconditionally energy stable scheme for a hydrodynamic \(\mathbf{Q} \)-tensor model of liquid crystals

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Energy Stable Numerical Schemes for a Hydrodynamic Model of Nematic Liquid Crystals

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The rise of Newtonian drops in a nematic liquid crystal

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A new proof on axisymmetric equilibria of a three-dimensional Smoluchowski equation

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Identifiers

10.1017/S0962492921000088

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5887833

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