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Enhancing Structural Integrity Assessment Through Non-Destructive Evaluation. [PDF]

Materials (Basel)
Zatar W, Mota Ruiz F, Nghiem H.
europepmc   +1 more source

Nonlinear propagation of ultrasounds in bubbly viscoelastic media: A study on the influence of the medium properties on the nonlinear parameter. [PDF]

Ultrason Sonochem
Carreras-Casanova EV, Tejedor-Sastre MT, Vanhille C.   +2 more
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AMPLITUDE EQUATION IN POLYMERIC FLUID CONVECTION

International Journal of Bifurcation and Chaos, 1994
The convective instabilities in viscoelastic polymeric Oldroyd-B models are studied. First, the nonlinear analysis of the stationary and oscillatory convection is carried out. Then, in the scope of weak nonlinear analysis, the coefficients of the amplitude equations are evaluated, in order to be in condition to estimate the possible behavior of ...
Martínez-Mardones, J., Tiemann, R., Zeller, W., Pérez-García, C.   +3 more
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Analysis of a Hamiltonian Amplitude Equation

Journal of the Physical Society of Japan, 1993
Summary: The behaviour of a nonlinear Hamiltonian amplitude equation describing the modulation of plane waves in unstable media is analysed. In the defocusing case where the nonlinearity is destabilizing, solutions of the equation can blow up in finite time.
Chow, C. C., Fromm, S. J., Segur, H.
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BIFURCATION ANALYSIS OF AN AMPLITUDE EQUATION

International Journal of Bifurcation and Chaos, 2013
We study the bifurcation and stability of constant stationary solutions (u0, v0) of a particular system of parabolic partial differential equations as amplitude equations on a bounded domain (0, L) with Neumann boundary conditions. In this paper, the asymptotic behavior of the solutions (u0, v0) of the amplitude equations are considered.
Shi, Lei, Gao, Hongjun
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True amplitude wave equation migration arising from true amplitude one-way wave equations

Inverse Problems, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Yu, Zhang, Guanquan, Bleistein, Norman   +2 more
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The Nonlocal Amplitude Equation

1990
Stationary states, stability, and bifurcation scenarios are presented for a spatially nonlocal extension of the Newell-Whitehead-Segel amplitude equation.
F. J. Elmer, T. Christen
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Amplitude equations for cellular instabilities

Dynamics and Stability of Systems, 1992
We present a general theory for any cellular instability problem where the initial symmetries can be broken. We establish that the post-bifurcation behaviour is always governed by amplitude equations of the Ginzburg-Landau type. Moreover, the coefficients of these equations are obtained in closed form which allows their analytical or numerical ...
N. Damil, M. Potier-Ferry
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Amplitude preservation equations for DMO

SEG Technical Program Expanded Abstracts 1988, 1988
The scattering equation for a small volume in which density and bulk modulus are slightly different from the surrounding uniform medium is used to derive an amplitude transformation for dip moveout (DMO). The transformation is arranged so that when there is no change in density there is no change in amplitude with offset.
Gerald H. F. Gardner, David Forel
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Equations for the Reflection Amplitudes

1987
For some purposes, both analytical and numerical, it is useful to transform the linear second order differential equation for the wave amplitude into a non-linear first order Riccati type differential equation for a quantity related to the reflection amplitude. The advantage lies in dealing directly with the quantity one wants to calculate.
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