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Effective transport coefficients arise from the Chapman Enskog theory, and are similar to those proposed by other methods.
Interface problems, like coupled elliptic-hyperbolic or parabolic-hyperbolic problems with discontinuous coefficients, arise in many fields, such as material sciences, fluid-solid interactions.
The combinatorial coefficients arise since a sequence at Hamming distance r can mutate in different ways that increase r, and in r ways that decrease r, where c = 4 is the number of different nucleotides.
Could such spatial associations lead to increased Hill coefficients of k>1? Figure 9 shows clearly that increased Hill coefficients arise readily in a simple reaction scheme with limited diffusion.
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In this paper, we will study nonlinear partial differential equations with variable coefficients arising from population models.
In what follows, we assume that the drift and diffusion coefficients arising in the system fulfill the following conditions.
The formulation also takes into account the self- and inter-modal coupling coefficients arising due to the fluid-loading effect.
In this approach, the coefficients arising from integrals of singular kernels are evaluated with a simple method, namely the truncation method.
The problem is to obtain the maximum possible number of limit cycles under perturbation of the coefficients arising in these equations.
In this work, we investigate longitudinal and transverse dispersion coefficients arising from the method of volume averaging, for a variety of periodic, homogeneous porous media over a range of particle Péclet (Pep) numbers.
The coefficients arising from integrals with singular kernels greatly influence the well behavior of the system the problem is reduced at, and that is why it is very important to choose a suitable technique to evaluate them with great accuracy.
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