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Titlebook: Elliptic Partial Differential Equations; Volume 2: Reaction-D Vitaly Volpert Book 2014 Springer Basel 2014 bifurcations of solutions.classi

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Multi-scale Models in Biologyations of chemical kinetics. Cells can divide, differentiate (change their type) and die. Introducing cell concentrations and assuming that they are uniformly distributed in space, we can write ordinary differential equations for their evolution.
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Reaction-diffusion Processes, Models and Applicationsscribed by the Laplace operator. Heat conduction was described by similar differential expressions. This simplest description of heat and mass transport was later completed by other mechanisms. Among them cross diffusion, anomalous diffusion, other mechanisms of heat conduction.
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Diskrete dynamische Optimierung,scalar second-order equations and monotone systems of equations. They will be often used to get estimates of solutions and some their properties. Finally, Section 4 deals with some spectral properties. We will formulate the theorems which establish the relation between stability of solutions and location of the spectrum of linearized operators.
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https://doi.org/10.1007/978-3-662-56766-1direction, then convective motion appears not as a result of convective instability but because there are no solutions without convection. Natural convection can also influence other reaction-diffusion processes. In particular, it changes conditions of heat explosion. It can also lead to various oscillations and to oscillating heat explosion.
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