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The complete description of the solution would require examining several sectors that exist, but in order to show that there exist unconfined singularities, it suffices to exhibit such a situation in one sector.
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We investigate the Riemann problem for the shallow water equations with variable and (possibly) discontinuous topography and provide a complete description of the properties of its solutions: existence; uniqueness in the non-resonant regime; multiple solutions in the resonant regime.
In this paper, we obtain a complete description of the global structure of nodal solutions of (1.1), (1.2) under the following assumptions: for with.
By using global bifurcation techniques, we obtain a complete description of the global structure of positive solutions for (1.1), (1.2) under weaker conditions.
In the present work, we obtain a direct and complete description of the global structure of positive solutions of (1.1) under the assumptions: (A1) ; (A2) is continuous and for ; (A3), where ; (A4), where. . ; is continuous and for ;, where ;, where.
The analytical solutions enable the complete description of the system in Peclet Thiele diagrams, where the different reaction-transport regimes are identified.
A complete description of the problem to be solved is simultaneously the articulation of a complete solution, a unified course of action identifying a series of steps (means) resulting in an end, which the judger predicts will be found valuable as a complete package.
Also, a complete description of the management system is presented.
A complete description of the integrated subsystems is also presented.
A complete description of the crystal specifies how the forms are mixed with each other.
After complete description of the study to the subjects, written informed consent was obtained.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com