The number of possible joint solutions for both blocks (i.e., solutions which valid for both blocks) is always smaller than the number of all possible solutions for two independent blocks.
The equations are valid for aqueous solutions saturated with hydrogen at low values of the Reynolds number.
In recent years, a new theory has been developed that builds on one historical model, the Labusch model, in important ways that lead to a well-defined model valid for random solutions with arbitrary numbers of components and compositions.
This result remains valid for weak solutions by a simple density argument.
These results remain valid for weak solutions by a simple density argument.
for all x ∈ C. It follows from Lemma 3 and the proofs of Theorems 1, 2, 3 that all statements of these theorems are also valid for solutions of periodic problem (10 - 11 10 - 11e solutifns existhe
These solutions are valid for both real and complex values of the invariants.
The obtained analytical solution is valid for both thick and thin plates, and for arbitrary variation of material properties in the thickness direction.
The solution is valid for both inviscid and viscous cases, covering the range of Reynolds number from 500 to infinity, whereas current direct numerical simulation (DNS) methods are limited to Reynolds numbers no greater than 4000.
Moreover, we show that the obtained approximate solutions are valid for the whole solution domain and the approximations are uniformly valid not only for small parameters, but also for very large parameters.
In conclusion, we expect that the mechanism of stress release we identified here may be generally valid for solutions of semi-flexible polymers, including supramolecular systems23,42,43,44.
