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

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

stokes plane parallel vortex systems in channels: Stokes plane-parallel vortex systems in channels

Authors: V. N. Koterov Yu. D. Shmyglevskii

Source: Fluid Dynamics. 35(5):674-681

Subject Terms: wedge-shaped region, biharmonic equation, Poiseuille channel flow, vortex motions, vorticity source, channel, plane-parallel Stokes flows, exact solutions, complex variable formulation, Stokes and related (Oseen, etc.) flows, streamfunction, parallel walls, Goursat formula, Viscous vortex flows, Complex variables methods applied to problems in fluid mechanics, Hamel corner flow

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Access URL: https://link.springer.com/article/10.1023/A%3A1026634714041
https://link.springer.com/content/pdf/10.1023/A:1026634714041.pdf

New equations of convolution type obtained by replacing the integral by its maximum: New equations of convolution type obtained by replacing the integral by the maximum.

Authors: Avkhadiev F. Maklakov D.

Source: SCOPUS00014346-2002-71-12-SID0141736974

Subject Terms: Extremal problems for conformal and quasiconformal mappings, other methods, trigonometric convexity, Trigonometric convexity, equations of convolution type, pressure envelope, Equations of convolution type, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, Pressure envelope, Complex variables methods applied to problems in fluid mechanics

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Access URL: https://openrepository.ru/article?id=171774
https://openrepository.ru/article?id=128210
https://link.springer.com/article/10.1023/A:1013966021561

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

vortex cell with a cylinder rotating inside it on the surface of an airfoil section at high reynolds numbers: Vortex cell with a cylinder rotating inside it on the surface of an airfoil section at high Reynolds numbers

Authors: A. V. Bunyakin

Source: Fluid Dynamics. 36(4):602-607

Subject Terms: Incompressible viscous fluids, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, General theory of rotating fluids, Complex variables methods applied to problems in fluid mechanics

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Access URL: https://zbmath.org/1972384
https://doi.org/10.1023/a:1012393630468
https://link.springer.com/article/10.1023/A:1012393630468

pattern selection determined by symmetry and modifiable by distant effects: Pattern selection: Determined by symmetry and modifiable by distant effects

Authors: Mitchell J. Feigenbaum

Source: Journal of Statistical Physics. 112(1):219-275

Subject Terms: Hele-Shaw flow, Capillarity (surface tension) for incompressible viscous fluids, stability, Complex variables methods applied to problems in fluid mechanics, Other free boundary flows, Hele-Shaw flows, Saffman-Taylor fingers, Interfacial stability and instability in hydrodynamic stability

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Access URL: https://zbmath.org/1960085
https://doi.org/10.1023/a:1023683721747
https://link.springer.com/article/10.1023/A%3A1023683721747

note on a paper by sinha and odgaard application of conformal mapping to diverging open channel flow: Note on a paper by Sinha and Odgaard ``Application of conformal mapping to diverging open channel flow

Authors: Anvar Kacimov

Source: Journal of Engineering Mathematics. 37(4):397-400

Subject Terms: conformal mapping, complex potential, two-dimensional potential flow, Joukowski domain, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, Conformal mappings of special domains, Complex variables methods applied to problems in fluid mechanics, parameter of mapping, computer algebra

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Access URL: https://zbmath.org/1455192
https://doi.org/10.1023/a:1004763326618
https://link.springer.com/article/10.1023/A%3A1004763326618
https://squ.pure.elsevier.com/en/publications/note-on-a-paper-by-sinha-and-odgaard-application-of-conformal-map