Sentence examples for boundary condition has a from inspiring English sources
Thermal boundary condition has a minimal effect on heat transfer of supercritical carbon dioxide when buoyancy effect is negligible.
Considering that the boundary condition has a great effect on the stress distribution, a larger test model was set up.
Simple computation implies that the operator − x ″ with the anti-periodic boundary condition has a sequence of eigenvalues λ m = 4 ( 2 m − 1 ) 2 π 2 T 2, m ∈ Z +, and the corresponding eigenspace is two-dimensional.
By the comparison principle above, we can get the uniqueness of the solutions to problem (1.5 - 1.7) with α + β ≥ 1, m ≥ 1. Comparing with the problem under a general homogeneous Dirichlet boundary condition, the existence of weight function in the boundary condition has a great influence on the global and non-global existence of solutions.
In order to construct smooth test functions, we let G ε be a smooth mollifier of G and require the following mollified path frozen PDE (with smooth boundary condition) has a classical solution: begin{array}rcl@ partial_{t} v + G_{varepsilon}(s, omega_{cdotwedge t}, v, partial_{x} v, partial_{xx} v) =0,quad (s, x) in widehat Q^{t}_{varepsilon}.
Based on the numerical results, the relative critical shear stress of the corrugated webs of simple juncture to that of the corresponding fixed boundary condition has an average value of 0.96.
Then the problem (1) with the boundary condition has an approximate solution whenever (Delta_{1}= eta^(1+gamma_{0} + lambda_{0} ) <1).
The results obtained for four different boundary conditions and demonstrated that boundary conditions has a remarkable influence on the region in which yielding initiates.
It is impossible to apply Courant's variational principle [14] directly because on a finite interval the operator, generated by the differential expression (mathcal{L}) and Neumann boundary conditions, has an infinite number of eigenvalues.
Boundary conditions had a significant impact on DNAPL entrapment and dissolution.
The obtained results showed that the boundary conditions have a considerable effect on the elastic deflection and the corresponding actuators' torques as well.
