An analytical connection between temporal and spatio-temporal growth rates in linear stability analysis
نویسندگان
چکیده
منابع مشابه
An analytical connection between temporal and spatio-temporal growth rates in linear stability analysis
We derive an exact formula for the complex frequency in spatio-temporal stability analysis that is valid for arbitrary complex wave numbers. The usefulness of the formula lies in the fact that it depends only on purely temporal quantities, which are easily calculated. We apply the formula to two model dispersion relations: the linearized complex Ginzburg–Landau equation, and a model of wake ins...
متن کاملExploratory spatio-temporal visualization: an analytical review
Current software tools for visualization of spatio-temporal data, on the one hand, utilize the opportunities provided by modern computer technologies, on the other hand, incorporate the legacy from the conventional cartography. We have considered existing visualization-based techniques for exploratory analysis of spatio-temporal data from two perspectives: (1) what types of spatio-temporal data...
متن کاملAN ADDITIVE MODEL FOR SPATIO-TEMPORAL SMOOTHING OF CANCER MORTALITY RATES
In this paper, a Bayesian hierarchical model is used to anaylze the female breast cancer mortality rates for the State of Missouri from 1969 through 2001. The logit transformations of the mortality rates are assumed to be linear over the time with additive spatial and age effects as intercepts and slopes. Objective priors of the hierarchical model are explored. The Bayesian estimates are quite ...
متن کاملSpatio-temporal Analysis of Myocardial Infarction in an Iranian Military Community During the Period 2015-2018
Background and Aim: Myocardial infarction (MI) is one of the leading causes of mortality worldwide. This disease imposes a high socio-economic burden on patients. Since the Spatio-temporal analysis of diseases plays an essential role in the design of prevention and management programs. The present study aimed to identify regional clusters of MI and also analyze the time trend of the disease amo...
متن کاملLinear temporal and spatio-temporal stability analysis of a binary liquid film flowing down an inclined uniformly heated plate
Temporal and spatio-temporal instabilities of binary liquid films flowing down an inclined uniformly heated plate with Soret effect are investigated by using the Chebyshev collocation method to solve the full system of linear stability equations. Seven dimensionless parameters, i.e. the Kapitza, Galileo, Prandtl, Lewis, Soret, Marangoni, and Biot numbers (Ka, G, Pr, L, χ , M , B), as well as th...
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: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2013
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2013.0171