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Users will be able to type criteria into a search engine and learn the location of a sample.
In particular, we establish Hille and Nehari type criteria.
In what follows, we establish Hille and Nehari type criteria for (1.1).
These criteria can be considered as generalized Tsai-Wu type criteria.
We will extend the so-called Hille and Nehari type criteria to third-order dynamic equations on time scales.
The atom type criteria and the criteria for individual molecules are the same, but they are calculated for all the relevant atom types or molecules, respectively.
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However, the Serrin type criterion and the Beale-Kato-Majda type criterion still hold true even for a weak solution (if it exists) (see [17, 18]).
The method relies on a generalized Bakry Émery type criterion that applies to Kolmogorov type operators.
Considering their orthotropic nature, tensor polynomial criteria such as Tsai-Wu type criterion were modified for homogeneous braided composite models.
The result is analogous to the celebrated Beale-Kato-Majda type criterion for the inviscid Euler equations of incompressible fluids.
In this paper, we give a Beale-Kato-Majda type criterion of strong solutions to the incompressible ideal MHD equations.
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CEO of Professional Science Editing for Scientists @ prosciediting.com