Rutherford Aris, Gianni Astarita (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Theory of chemical reactions in complex mixtures exhibits the following problem. Single reacting species follow an intrinsic kinetic law. However, the observable quantity, which is a mean of individual concentrations, follows a different law. This one is called «alias» of intrinsic kinetics. In this paper the phenomenon of alias of uniform families of differential equations is discussed in general terms.
Rozonoer, L.I. (1998)
Mathematical Problems in Engineering
I. Brailovsky, M. Frankel, L. Kagan, G. Sivashinsky (2010)
Mathematical Modelling of Natural Phenomena
The experimentally known phenomenon of oscillatory instability in convective burning of porous explosives is discussed. A simple phenomenological model accounting for the ejection of unburned particles from the consolidated charge is formulated and analyzed. It is shown that the post-front hydraulic resistance induced by the ejected particles provides a mechanism for the oscillatory burning.
Gisbert Stoyan (1978)
Banach Center Publications
Bush, W.B., Krishnamurthy, L. (1997)
Mathematical Problems in Engineering
Bush, W.B., Krishnamurthy, L. (1996)
Mathematical Problems in Engineering
Aleksandar Ilić, Milovan Ilić, Bolian Liu (2011)
Kragujevac Journal of Mathematics
K. CH. Das, I. Gutman, D. Vukičević (2011)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
Bronisław Ceranka, Małgorzata Graczyk (2003)
Kybernetika
The paper studies the estimation problem of individual weights of objects using a chemical balance weighing design under the restriction on the number times in which each object is weighed. Conditions under which the existence of an optimum chemical balance weighing design for objects implies the existence of an optimum chemical balance weighing design for objects are given. The existence of an optimum chemical balance weighing design for objects implies the existence of an optimum chemical...
A. V. Straube, A. Pikovsky (2010)
Mathematical Modelling of Natural Phenomena
We study pattern-forming instabilities in reaction-advection-diffusion systems. We develop an approach based on Lyapunov-Bloch exponents to figure out the impact of a spatially periodic mixing flow on the stability of a spatially homogeneous state. We deal with the flows periodic in space that may have arbitrary time dependence. We propose a discrete in time model, where reaction, advection, and diffusion act as successive operators, and show that...
Eddy, N.O., Ukpong, I.J. (2006)
APPS. Applied Sciences
Xu, Gongxian (2010)
Mathematical Problems in Engineering
R. Kerner (2011)
Mathematical Modelling of Natural Phenomena
An analysis of all possible icosahedral viral capsids is proposed. It takes into account the diversity of coat proteins and their positioning in elementary pentagonal and hexagonal configurations, leading to definite capsid size. We show that the self-organization of observed capsids during their production implies a definite composition and configuration of elementary building blocks. The exact number of different protein dimers is related to the...
Algirdas Ambrazevičius (2010)
Open Mathematics
A model of coupled parabolic and ordinary differential equations for a heterogeneous catalytic reaction is considered and the existence and uniqueness theorem of the classic solution is proved.
Gonzalo Galiano, Mark Adriaan Peletier (1998)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Niels Joergen Kokholm (1989)
Journées équations aux dérivées partielles
Djaković-Sekulić, Tatjana, Lozanov-Crvenković, Zagorka, Perišić-Janjić, Nada (2008)
Novi Sad Journal of Mathematics
Wang, Hongyun, Zhou, Hong (2008)
Abstract and Applied Analysis
Vladimír Baláž, Vladimír Kvasnička, Jiří Pospíchal (1991)
Pokroky matematiky, fyziky a astronomie
Philippe Laurençot, Dariusz Wrzosek (1998)
Colloquium Mathematicae