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With this information in mind, it is then possible to look briefly at some of the more important classes of reaction mechanisms.
Notice, however, that we can state results about (4) without differentiability assumptions; see Sections 2 and 3. We will study the features of the set of the admissible speeds for (4) for different classes of reaction terms, and provide, in some cases, a way of computing the critical speed.
Although an analytical treatment of the CME is in general challenging, there are classes of reaction networks for which closed-form analytical solutions are available.
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From the theoretical standpoint, homogeneous reactions are the simpler of the two classes of reactions because the chemical changes that take place are solely dependent on the nature of the interactions of the reacting substances.
Quittner and Souplet in [1] consider different classes of reaction-diffusion problems with non-local source terms involving space integrals and investigate under what conditions the solutions blow up or exist globally (see also [2, 3]).
end{cases} Souplet [9] studied the blow-up behavior of nonnegative solutions for some classes of reaction-diffusion equations, where the reaction term may have a nonlocal functional dependence either in space or in time (or possibly in both space and time).
The purpose of this paper is to study the blow-up phenomenon of nonnegative solutions for some classes of reaction-diffusion systems under different boundary conditions and when the reaction terms have a nonlocal functional dependence in space- and time-dependent coefficients.
This method categorizes all possible fuel-specific reactions as classes of reactions with prescribed rules for the rate constants.
After the description of the main classes of reactions, catalyst genesis and activation (i.e. sulphidation) are extensively described and discussed.
It is shown how concentrations of components for some classes of reactions occurring in a jacketed reactor can be estimated from temperature measurements only.
Direct studies of diradicals, the molecular species hypothesized to be archetypal of chemical bond transformations in many classes of reactions, have been made using femtosecond laser techniques with mass spectrometry in a molecular beam.
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