منابع مشابه
Shocks in Nonlinear Diffusion
Using two models that incorporate a nonlinear forward-backward heat equation, we demonstrate the existence of well-deened weak solutions containing shocks for diiusive problems. Occurrence of shocks is connected to multivalued inverse solutions and non-monotone potential functions. Unique viscous solutions are determined from perturbation theory by matching to a shock layer condition. Results o...
متن کاملAre Technology Shocks Nonlinear?
This paper examines the behavior of postwar real U.S. GNP, the inputs to an aggregate production function, and the associated Solow residuals for the presence of nonlinearities in their generating mechanisms. To test for nonlinearity, we implement three di®erent statistical tests: the McLeod-Li test based on the correlogram of the squared data, the BDS test based on the correlation integral, an...
متن کاملMulti shocks in Reaction-diffusion models
It is shown that, concerning equivalent classes, on a one-dimensional lattice with nearest neighbor interaction there are only four independent models possessing double-shocks . All these models are studied. In two of them at large times, the average width of double shock will become small, and for the other two, double shocks will be disappeared and the final state is a linear combination of B...
متن کاملAbsorption of shocks in nonlinear autoregressive models
It generally is difficult, if not impossible, to fully understand and interpret nonlinear time series models by considering the estimated values of the model parameters only. To shed light on the characteristics and implications of a nonlinear model it can then be useful to consider the effects of shocks on the future patterns of the time series variable. Most interest in such impulse response ...
متن کاملRaman-induced optical shocks in nonlinear fibers.
It is demonstrated that the stimulated Raman scattering in optical fibers supports kink solitons (shocks) not only in the recently considered case of anomalous dispersion but also in the normal-dispersion regime. In both cases there is a family of the kinks depending on an arbitrary (positive) wave number of the carrying wave. Although all the kinks are unstable because of the inherent instabil...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 1995
ISSN: 0893-9659
DOI: 10.1016/0893-9659(95)00062-u