Membrane flutter induced by radiation of surface gravity waves on a uniform flow [PDF]
, 2020 We consider stability of an elastic membrane being on the bottom of a uniform horizontal flow of an inviscid and incompressible fluid of finite depth with free surface.
Kirillov, Oleg, Labarbe, Joris
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A Multiparameter, Numerical Stability Analysis of a Standing Cantilever Conveying Fluid [PDF]
, 2002 In this paper, we numerically examine the stability of a standing cantilever conveying fluid in a multiparameter space. Based on nonlinear beam theory, our mathematical model turns out to be replete with exciting behavior, some of which was totally ...
Bou-Rabee, Nawaf M. +2 more
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A Priori Bounds And Existence Of Positive Solutions For Semilinear Elliptic Systems [PDF]
, 2017 We provide a-priori L∞ bounds for classical positive solutions of semilinear elliptic systems in bounded convex domains when the nonlinearities are below the power functions v^p and u^q for any (p,q) lying on the critical Sobolev hyperbola.
Mavinga, Nsoki, Pardo, R.
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Complementing maps, continuation and global bifurcation [PDF]
, 1983 We state, and indicate some of the consequences of, a theorem whose sole assumption is the nonvanishing of the Leray- Schauder degree of a compact vector field, and whose conclusions yield multidimensional existence, continuation and bifurcation ...
Fitzpatrick, P. +2 more
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Waves in Honeycomb Structures [PDF]
, 2012 We review recent work of the authors on the non-relativistic Schr\"odinger equation with a honeycomb lattice potential, $V$. In particular, we summarize results on (i) the existence of Dirac points, conical singularities in dispersion surfaces of $H_V ...
Fefferman, Charles L. +1 more
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Nonlinear theory for coalescing characteristics in multiphase Whitham modulation theory [PDF]
, 2020 The multiphase Whitham modulation equations with $N$ phases have $2N$ characteristics which may be of hyperbolic or elliptic type. In this paper a nonlinear theory is developed for coalescence, where two characteristics change from hyperbolic to elliptic
Bridges, Thomas J., Ratliff, Daniel J.
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Multiparameter spectral analysis for aeroelastic instability problems
, 2017 This paper presents a novel application of multiparameter spectral theory to the study of structural stability, with particular emphasis on aeroelastic flutter.
Gutschmidt, Stefanie, Pons, Arion
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Extracting falsifiable predictions from sloppy models
, 2007 Successful predictions are among the most compelling validations of any model. Extracting falsifiable predictions from nonlinear multiparameter models is complicated by the fact that such models are commonly sloppy, possessing sensitivities to different ...
Casey, Fergal P. +4 more
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Unfolding of eigenvalue surfaces near a diabolic point due to a complex perturbation [PDF]
, 2004 The paper presents a new theory of unfolding of eigenvalue surfaces of real symmetric and Hermitian matrices due to an arbitrary complex perturbation near a diabolic point.
A A Mailybaev +15 more
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Coarse Stability and Bifurcation Analysis Using Stochastic Simulators: Kinetic Monte Carlo Examples
, 2001 We implement a computer-assisted approach that, under appropriate conditions, allows the bifurcation analysis of the coarse dynamic behavior of microscopic simulators without requiring the explicit derivation of closed macroscopic equations for this ...
Kevrekidis, Ioannis G. +2 more
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