Information denoising and quantization by diffusion reaction model.
Belahmidi, Abdelmounim (2006)
APPS. Applied Sciences
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Belahmidi, Abdelmounim (2006)
APPS. Applied Sciences
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M. A. Budroni, M. Rustici, E. Tiezzi (2010)
Mathematical Modelling of Natural Phenomena
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We investigate the origin of deterministic chaos in the Belousov–Zhabotinsky (BZ) reaction carried out in closed and unstirred reactors (CURs). In detail, we develop a model on the idea that hydrodynamic instabilities play a driving role in the transition to chaotic dynamics. A set of partial differential equations were derived by coupling the two variable Oregonator–diffusion system to the Navier–Stokes equations. This approach allows us to shed light on the correlation between chemical...
Y. Schmitz, M. Baurmann, B. Engelen, U. Feudel (2010)
Mathematical Modelling of Natural Phenomena
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We present a three species model describing the degradation of substrate by two competing populations of microorganisms in a marine sediment. Considering diffusion to be the main transport process, we obtain a reaction diffusion system (RDS) which we study in terms of spontaneous pattern formation. We find that the conditions for patterns to evolve are likely to be fulfilled in the sediment. Additionally, we present simulations that are consistent with experimental data from the literature....
Rybář, Vojtěch, Vejchodský, Tomáš
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We study systems of two nonlinear reaction-diffusion partial differential equations undergoing diffusion driven instability. Such systems may have spatially inhomogeneous stationary solutions called Turing patterns. These solutions are typically non-unique and it is not clear how many of them exists. Since there are no analytical results available, we look for the number of distinct stationary solutions numerically. As a typical example, we investigate the reaction-diffusion system designed...
Tomán, Henrietta, Tornai, Róbert, Zichar, Marianna (2007)
Annales Mathematicae et Informaticae
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Xavier Cabré, Joana Terra (2009)
Journal of the European Mathematical Society
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Stefan Gerhold, Johannes F. Morgenbesser, Axel Zrunek (2015)
Banach Center Publications
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Refining previously known estimates, we give large-strike asymptotics for the implied volatility of Merton's and Kou's jump diffusion models. They are deduced from call price approximations by transfer results of Gao and Lee. For the Merton model, we also analyse the density of the underlying and show that it features an interesting "almost power law" tail.
Liljana Stefanovska, Toma Grcev, Sonja Gegovska-Zajkova (2002)
Visual Mathematics
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Wei-Ming Ni (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We discuss the stability and instability properties of steady state solutions to single equations, shadow systems, as well as systems. Our basic observation is that the more complicated the pattern are, the more unstable they tend to be.