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§ 1822.268 Rates, terms, and source of funds.
The coupling between the phases was considered through momentum source terms and source terms in the k- and ε-equation which also include the effect of wake-generated turbulence.
The focus of the development is on the fully coupling between radiation and material, the treatment of nonlinearity in the equations, i.e., in the diffusion terms and source terms, treatment of the discontinuity across cell interfaces in material properties, the formulations for both transient and steady states, the property for large time steps, and second order accuracy in both space and time.
In this work, we analyze the influence of degenerate damping terms and source terms on the solutions of problem (1.1).
Under suitable assumptions on relaxation functions, damping terms, and source terms, by using the energy method we proved a global nonexistence result for certain solutions with negative initial energy.
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The performance of this system is determined largely by the coverage of terms and sources in the UMLS.
Full details of the search terms and sources used are included in Additional file 1. Study selection was completed by two reviewers, who independently scanned the titles and abstracts of citations identified through the search for inclusion in the review.
As with all systematically conducted literature reviews, the formulation of research questions, selection of search terms and sources to be searched and inclusion criteria employed can all be considered as limitations to the study.
Examples concern Helmholtz and Poisson equations, whose probabilistic treatment presents additional complications with respect to the case of homogeneous elliptic problems without any potential term and source.
We test the cases for both smooth source terms and rough source terms and show that with the multiplicative correction, the numerical approximations are more accurate compared to the additive correction.
Since the viscoelastic terms, nonlinear damping and source terms are included in the system, the classical method employed in single equation cannot be directly used to prove the blow-up result.
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