Sentence examples for solution multiplicity from inspiring English sources

We also present a difficult case study for solution multiplicity in catalytic pellets.

The paper brings about a two-opening naturally ventilated building potential model considering solution multiplicity, window opening percentage, air velocity and humidity in China.

Apart from the above work, solution multiplicity is a classic problem for the equations describing the flow in channels or pipes with porous walls.

The nonlinear-PI controller allows a wider operating range of gain than a standard PI controller used alone, is easier to tune, and eliminates solution multiplicity from closed-loop operation.

In the strain rate space, the computational quintiple-solution multiplicity extends from ∼ 100 10,000 s−1, at 9% H2 in N2 and 4 atm.

The experimental triple-solution multiplicity disappears for fuel concentrations in excess of ∼25% or below ∼7% H2 in N2, and was only found in the pressure range between ∼1.5 and 7 atm, at 9% H2 in N2 and a pressure-weighted strain rate of 300 s−1.

Many important results concerning existence and nonexistence of solutions, multiplicity of solutions, least energy solutions, and so on, have been reported; see for instance [4 12] and the references therein.

Since then, much attention has been paid to the existence of nontrivial solutions, sign-changing solutions, ground state solutions, multiplicity of solutions and concentration of solutions for the following case: - biggl(a+b int_{Omega}|nabla u|^{p},dx biggr) Delta_{p} u=f x,u quadmbox{in } Omega, qquad u=0quadmbox{on } partialOmega.

The Kamada-Kawai algorithm is used to find a two-dimensional minimum energy solution with multiplicity as an input similarity measure.

has precisely solutions, counted multiplicity.

However, their main results are only concerned with the existence of solutions without considering multiplicity of solutions.