Search Results - complex-variable methods applied to problems in applied ((mechanics* OR mechanika*) OR technika*)

The Velocity Field and Birkhoff–Rott Integral for Nondecaying, Nonperiodic Vortex Sheets: The velocity field and Birkhoff-Rott integral for nondecaying, nonperiodic vortex sheets

Authors: David M. Ambrose

Source: SIAM Journal on Applied Mathematics. 85:456-476

Subject Terms: quasiperiodic solution, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, Mathematics - Analysis of PDEs, Existence, uniqueness, and regularity theory for incompressible inviscid fluids, 76B55, 76B07, 42A50, Physics - Fluid Dynamics, Vortex flows for incompressible inviscid fluids, Complex variables methods applied to problems in fluid mechanics, Euler equations, singular velocity integral, uniform convergence

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Access URL: http://arxiv.org/abs/2401.06055
https://zbmath.org/8009633
https://doi.org/10.1137/24m164848x

Exact and Approximate Solutions for Elastic Interactions in a Nematic Liquid Crystal: Exact and approximate solutions for elastic interactions in a nematic liquid crystal

Authors: Thomas G. J. Chandler Saverio E. Spagnolie

Source: SIAM Journal on Applied Mathematics. 84:2476-2501

Subject Terms: multiply connected domain, global stored elastic energy minimization, conformal mapping, Liquid crystals, Fluid Dynamics (physics.flu-dyn), immersed body, Soft Condensed Matter (cond-mat.soft), FOS: Physical sciences, Physics - Fluid Dynamics, Condensed Matter - Soft Condensed Matter, Complex variables methods applied to problems in fluid mechanics, topological defect, complex director field

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Access URL: http://arxiv.org/abs/2311.17708

Internal uniform hydrostatic stress field within a double, triple or quadruple coated elastic inhomogeneity possessing an (n + 1)-fold axis of rotational symmetry: Internal uniform hydrostatic stress field within a double, triple or quadruple coated elastic inhomogeneity possessing an \((n + 1)\)-fold axis of rotational symmetry

Authors: Wang, Xu Schiavone, Peter

Source: Zeitschrift für angewandte Mathematik und Physik. 76

Subject Terms: Inverse problems in equilibrium solid mechanics, Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, Classical linear elasticity, Inhomogeneity in solid mechanics, Micromechanics of solids, Boundary value problems in the complex plane, elastic inhomogeneity, quadruple coating, Complex-variable methods applied to problems in solid mechanics, uniform hydrostatic stress, PDEs in connection with mechanics of deformable solids, triple coating, double coating

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justification of the method of approximation of solutions to contact problems of filtration theory: Justification of the method of approximation of solutions to contact problems of filtration theory

Authors: V. N. Monakhov

Source: Siberian Mathematical Journal. 43(3):504-517

Subject Terms: filtration, convergence, conformal mapping, Flows in porous media, seepage, Conformal mappings of special domains, error estimate, PDEs in connection with fluid mechanics, Complex variables methods applied to problems in fluid mechanics, approximation

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Access URL: https://zbmath.org/1899834
https://link.springer.com/article/10.1023/A%3A1015419803877
https://eudml.org/doc/50627

Thermal-elastic field around an elliptical nano-inclusion with interface conduction and interface stress effects

Authors: Qianqian Zhang Ruifeng Zhang Hongyuan Li et al.

Source: Acta Mechanica. 234:6395-6406

Subject Terms: Gurtin-Murdoch interface model, Thermal effects in solid mechanics, conformal mapping, Classical linear elasticity, Inhomogeneity in solid mechanics, Micromechanics of solids, series expansion method, plane deformation, residual interface tension, Complex-variable methods applied to problems in solid mechanics, infinite matrix, complex variable method

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Inclusions with Uniform Stress in a Bounded Elastic Domain: Inclusions with uniform stress in a bounded elastic domain

Authors: Dai, Ming

Source: Journal of Elasticity. 154:645-657

Subject Terms: anti-plane shear deformation, Classical linear elasticity, Inhomogeneity in solid mechanics, uniform eigenstrain, infinite complex series, Eshelby conjecture, Complex-variable methods applied to problems in solid mechanics, finite matrix

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Starting vortices generated by an arbitrary solid body with any number of edges

Authors: Edward M. Hinton A. Leonard D.I. Pullin et al.

Source: Journal of Fluid Mechanics. 987

Subject Terms: semi-infinite flat plate, leading/trailing edge vortex, Joukowski aerofoil, Birkhoff-Rott equation, 0103 physical sciences, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, vortex shedding, Vortex flows for incompressible inviscid fluids, Complex variables methods applied to problems in fluid mechanics, 01 natural sciences, vortex sheet evolution

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HYDRODYNAMIC LOADS DURING ACCELERATION OF A CYLINDER UNDER A FREE SURFACE: Hydrodynamic loads during acceleration of a cylinder under a free surface

Authors: Golikov, A. E. Makarenko, N. I.

Source: Journal of Applied Mechanics and Technical Physics. 63:806-815

Subject Terms: integro-differential equation, 0203 mechanical engineering, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, 0103 physical sciences, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, small-time asymptotic solution, 02 engineering and technology, complex fluid velocity, Complex variables methods applied to problems in fluid mechanics, Euler equations, 01 natural sciences

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Modulation of heat flux and thermal stress at the double interface by nano-coating thickness

Authors: Huang, Haojie Song, Kun

Source: Zeitschrift für angewandte Mathematik und Physik. 75

Subject Terms: Thermal effects in solid mechanics, Inhomogeneity in solid mechanics, interfacial elasticity, maximum interfacial thermal stress, thermal expansion coefficient, closed-form solution, Complex-variable methods applied to problems in solid mechanics, Explicit solutions of equilibrium problems in solid mechanics, complex variable method

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Access URL: https://zbmath.org/7793882
https://doi.org/10.1007/s00033-023-02166-8

On vortex-sheet evolution beyond singularity formation

Authors: D.I. Pullin N. Shen

Source: Journal of Fluid Mechanics. 976

Subject Terms: perturbed vortex sheet dynamics, analytic continuation, Birkhoff-Rott equation, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, 0103 physical sciences, Taylor series, Vortex flows for incompressible inviscid fluids, 0101 mathematics, Complex variables methods applied to problems in fluid mechanics, polylogarithmic function, 01 natural sciences, asymptotic singular solution

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Access URL: https://zbmath.org/7775000
https://doi.org/10.1017/jfm.2023.880

Interaction of two collinear interface cracks with different electrical conditions at their faces in a one-dimensional piezoelectric quasicrystal

Authors: Volodymyr Loboda Alla Sheveleva Oleksandr Komarov et al.

Source: Acta Mechanica. 233:2719-2735

Subject Terms: sectionally-holomorphic function, electric intensity factor, 02 engineering and technology, Hilbert problem, shear phonon stress, shear phason stress, 0203 mechanical engineering, Brittle fracture, Electromagnetic effects in solid mechanics, ddc:690, Buildings, Complex-variable methods applied to problems in solid mechanics, Crystalline structure, 0210 nano-technology, Dirichlet-Riemann boundary value problem

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Residue Theorem and Contour Integration: A Python-Based Approach to Real Integrals.

Authors: Buwai, Nura Salihu, Abdulrashid M. Adamu, Tanko et al.

Source: International Journal of Science for Global Sustainability (IJSGS); Oct2025, Vol. 11 Issue 3, p34-40, 7p

Subject Terms: MATHEMATICAL complex analysis, PYTHON programming language, SYMBOLIC computation, NUMERICAL integration, DEFINITE integrals, LINE integrals, CAUCHY integrals

Analytical Solutions of the Equation Describing Internal Gravity Waves Generated by a Moving Nonlocal Source of Perturbations: Analytical solutions of the equation describing internal gravity waves generated by a moving nonlocal source of perturbations

Authors: Yu. V. Vladimirov Vitaly V. Bulatov

Source: Computational Mathematics and Mathematical Physics. 61:556-563

Subject Terms: Stratification effects in inviscid fluids, Mittag-Leffler theorem, Internal waves for incompressible inviscid fluids, series solution, wave mode, 0103 physical sciences, meromorphic function, Complex variables methods applied to problems in fluid mechanics, 01 natural sciences, stratified medium, 0105 earth and related environmental sciences

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Access URL: https://zbmath.org/7355591
https://doi.org/10.1134/s0965542521040035
https://link.springer.com/article/10.1134/S0965542521040035

The non-unique existence of Rayleigh waves in nonlocal elastic half-spaces

Authors: Pham Chi Vinh Vu Thi Ngoc Anh Hai Q. Dinh

Source: Zeitschrift für angewandte Mathematik und Physik. 74

Subject Terms: Elastic materials, Rayleigh wave velocity, Existence of solutions of dynamical problems in solid mechanics, nonlocality effect, Bulk waves in solid mechanics, Complex-variable methods applied to problems in solid mechanics, PDEs in connection with mechanics of deformable solids, complex function method

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Access URL: https://zbmath.org/7707329
https://doi.org/10.1007/s00033-023-02007-8

hydrodynamic investigation of certain groundwater flows in coastal pressurized aquifers: Hydrodynamic investigation of certain groundwater flows in coastal pressurized aquifers

Authors: E. N. Bereslavskii

Source: Fluid Dynamics. 38(3):433-442

Subject Terms: Hydrology, hydrography, oceanography, conformal mapping, Flows in porous media, filtration, seepage, interface, salt water, fresh groundwater, Complex variables methods applied to problems in fluid mechanics, Polubarinova-Kochina method, flow through porous media

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Access URL: https://zbmath.org/2194866
https://doi.org/10.1023/a:1025150123570
https://link.springer.com/content/pdf/10.1023/A:1025150123570.pdf
https://link.springer.com/article/10.1023/A%3A1025150123570

Poles and Branch Cuts in Free Surface Hydrodynamics: Poles and branch cuts in free surface hydrodynamics

Authors: Vladimir E. Zakharov Pavel M. Lushnikov

Source: Water Waves. 3:251-266

Subject Terms: Water waves, gravity waves, dispersion and scattering, nonlinear interaction, Soliton equations, Nonlinear Sciences - Exactly Solvable and Integrable Systems, water wave, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Free-surface potential flows for incompressible inviscid fluids, Physics - Fluid Dynamics, Pattern Formation and Solitons (nlin.PS), Nonlinear Sciences - Pattern Formation and Solitons, 01 natural sciences, analytical continuation, persistent singularity, 0103 physical sciences, complex singularity existence, Exactly Solvable and Integrable Systems (nlin.SI), Complex variables methods applied to problems in fluid mechanics, conformal map

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Access URL: http://arxiv.org/pdf/1911.11609
http://arxiv.org/abs/1911.11609
https://arxiv.org/pdf/1911.11609
https://arxiv.org/abs/1911.11609
https://par.nsf.gov/biblio/10181346-poles-branch-cuts-free-surface-hydrodynamics
https://link.springer.com/article/10.1007/s42286-020-00040-y
https://www.arxiv-vanity.com/papers/1911.11609/
https://par.nsf.gov/servlets/purl/10181346
http://ui.adsabs.harvard.edu/abs/2021WatWa...3..251L/abstract

The high-speed submerged hydrofoil

Authors: J.S. Marshall E.R. Johnson

Source: Journal of Fluid Mechanics. 954

Subject Terms: analytical solution, free-surface flow, 0103 physical sciences, Waves/free-surface flows, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, Free-surface potential flows for incompressible inviscid fluids, complex flow potential, large Froude number, 02 engineering and technology, 0204 chemical engineering, Complex variables methods applied to problems in fluid mechanics, 01 natural sciences, complex flow velocity

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Access URL: https://zbmath.org/7642919
https://doi.org/10.1017/jfm.2022.1042
https://discovery-pp.ucl.ac.uk/id/eprint/10161997/

Complex variable boundary element methods for the solution of potential problems in simply and multiply connected domains

Authors: Mechanical Engineering Department, University of Florida, Gainesville, FL 32611, USA ( host institution ) Hsieh, C.K. ( author ) Kassab, Alain J. ( author )

Source: Computer Methods in Applied Mechanics and Engineering. 86:189-213

Subject Terms: 0203 mechanical engineering, 02 engineering and technology, 0101 mathematics, Other numerical methods in solid mechanics, 01 natural sciences, Boundary element methods applied to problems in solid mechanics

File Description: application/xml; [Elsevier APIv3]

Access URL: https://www.sciencedirect.com/science/article/abs/pii/004578259190127R
https://ui.adsabs.harvard.edu/abs/1991CMAME..86..189H/abstract

Modeling of hydrodynamic dispersion and two-phase flow in the complex variable boundary element method: Modeling of hydrodynamic dispersion and two-phase flow in the complex variable boundary element method.

Authors: Kozo Sato

Source: Computer Methods in Applied Mechanics and Engineering. 192:4425-4438

Subject Terms: Three or more component flows, Complex variable, Boundary element methods applied to problems in fluid mechanics, Multi-phase flow, 0207 environmental engineering, Boundary element method, 02 engineering and technology, Dispersion, 0204 chemical engineering, Complex variables methods applied to problems in fluid mechanics

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Access URL: https://zbmath.org/2031338
https://doi.org/10.1016/s0045-7825(03)00423-7
http://ui.adsabs.harvard.edu/abs/2003CMAME.192.4425S/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0045782503004237

Complex variable boundary element method for potential flow with thin objects: Complex variable boundary element method for potential flow with thin objects.

Authors: Kozo Sato

Source: Computer Methods in Applied Mechanics and Engineering. 192:1421-1433

Subject Terms: Boundary element methods applied to problems in fluid mechanics, conformal mapping technique, 0211 other engineering and technologies, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, singular solution, flow barriers, 02 engineering and technology, 0101 mathematics, Complex variables methods applied to problems in fluid mechanics, high-conductivity fracture, 01 natural sciences

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Access URL: https://zbmath.org/1972188
https://doi.org/10.1016/s0045-7825(02)00647-3
https://ui.adsabs.harvard.edu/abs/2003CMAME.192.1421S/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0045782502006473