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Asymptotic methods in mechanics
Ivan Argatov,Gennady Mishuris +1 more
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The article was published on 2011-01-01 and is currently open access. It has received 4 citations till now. The article focuses on the topics: Asymptotology & Asymptotic analysis.read more
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Center Manifold of Fractional Dynamical System
Li Ma,Changpin Li +1 more
TL;DR: In this paper, the authors established a local fractional center manifold for a finite dimensional FODS, where the center manifold method is one of the main reduction methods for ODSs.
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Iterative multi-scale approach for heat conduction with free convection problem in periodic hollow structures
Ronen Haymes,Erez Gal +1 more
TL;DR: In this paper, a thermal homogenization approach to the application of a multi-scale formulation for steady state heat conduction with free convection problems in a hollow structure is described.
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Iterative Multiscale Approach for Heat Conduction With Radiation Problem in Porous Materials
Ronen Haymes,Erez Gal +1 more
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Stability and low-frequency oscillations of thin shells with entirely or partially negative Gaussian curvature
TL;DR: A classification of the integrals of the system of equations is obtained in terms of the geometry of the middle surface and boundary conditions of the spectrum of shells of revolution of entirely or partially negative Gaussian curvature.
References
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Book
Introduction to perturbation techniques
TL;DR: In this paper, the authors introduce the notion of forced Oscillations of the Duffing Equation and the Mathieu Equation for weakly nonlinear systems with quadratic and cubic nonlinearities.
Book
Perturbation Methods in Applied Mathematics
TL;DR: In this paper, limit process expansions applied to Ordinary Differential Equations (ODE) are applied to partial differential equations (PDE) in the context of Fluid Mechanics.
Book
Asymptotic Methods in the Theory of Nonlinear Oscillations
TL;DR: In this article, a wide circle of engineering-technical and scientific workers who are concerned with oscillatory processes is devoted to the approximate asymptotic methods of solving the problems in the theory of nonlinear oscillations met in many fields of physics and engineering.
Book
Isoperimetric inequalities in mathematical physics
George Pólya,Gábor Szegő +1 more
TL;DR: Isoperimetric Inequalities in Mathematical Physics (AM-27) as mentioned in this paper is an excellent survey of the literature in this area. But it is not a complete collection.