Suchergebnisse - complex-variable methods applied to problems in applied ((mechanics* OR mechanika*) OR technicka*)*

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

Autoren: V. N. Monakhov

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

Schlagwörter: 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

Dateibeschreibung: application/xml

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

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

Autoren: David M. Ambrose

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

Schlagwörter: 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

Dateibeschreibung: application/xml

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

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

Autoren: E. N. Bereslavskii

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-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

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

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

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-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

Autoren: Wang, Xu Schiavone, Peter

Quelle: Zeitschrift für angewandte Mathematik und Physik. 76

Schlagwörter: 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

Dateibeschreibung: application/xml

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

Autoren: Qianqian Zhang Ruifeng Zhang Hongyuan Li et al.

Quelle: Acta Mechanica. 234:6395-6406

Schlagwörter: 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

Dateibeschreibung: application/xml

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

Autoren: Dai, Ming

Quelle: Journal of Elasticity. 154:645-657

Schlagwörter: 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

Dateibeschreibung: application/xml

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

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

Quelle: Journal of Fluid Mechanics. 987

Schlagwörter: 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

Dateibeschreibung: application/xml

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

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

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

Schlagwörter: 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

Dateibeschreibung: application/xml

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

Autoren: Huang, Haojie Song, Kun

Quelle: Zeitschrift für angewandte Mathematik und Physik. 75

Schlagwörter: 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

Dateibeschreibung: application/xml

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

On vortex-sheet evolution beyond singularity formation

Autoren: D.I. Pullin N. Shen

Quelle: Journal of Fluid Mechanics. 976

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-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

Autoren: Volodymyr Loboda Alla Sheveleva Oleksandr Komarov et al.

Quelle: Acta Mechanica. 233:2719-2735

Schlagwörter: 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

Dateibeschreibung: application/xml

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

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

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

Schlagwörter: 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

Autoren: Yu. V. Vladimirov Vitaly V. Bulatov

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-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

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

Quelle: Zeitschrift für angewandte Mathematik und Physik. 74

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-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

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

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-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.

Autoren: Avkhadiev F. Maklakov D.

Quelle: SCOPUS00014346-2002-71-12-SID0141736974

Schlagwörter: 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

Dateibeschreibung: application/xml

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

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

Autoren: A. V. Bunyakin

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-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

Autoren: Mitchell J. Feigenbaum

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-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

Autoren: Anvar Kacimov

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-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