Sentence examples for soft potentials from inspiring English sources

For the other moderately soft potentials, we assume additionally some moment conditions on the initial data.

Our uniqueness result is the first one in the important case of soft potentials.

For very soft potentials, we obtain only a local (in time) well-posedness result, under some integrability conditions.

However, because of the soft potentials employed, the simple no-slip boundary conditions are difficult to impose.

Furthermore, it is almost optimal for a class of moderately soft potentials, that is for a moderate singularity.

A novel combined Event-Driven/Time-Driven (ED/TD) algorithm to speed-up the Molecular Dynamics simulation of rarefied gases using realistic spherically symmetric soft potentials is presented.

For instance, Strain [8] considered the anisotropic space B ˙ 2 − ϱ, ∞ L v 2 when he studied the optimal decay rate of the solution to the hard and soft potential Boltzmann equation.

In this part, for the soft potential case in the sense that there is no positive power gain of weight in the coercivity estimate on the linearized operator, we derive some new functional estimates on the nonlinear collision operator.

The relaxation step employs a temporary soft potential that steadily increases the distance between crowders and the protein until the hard sphere repulsive distance is reached.

The measurement of a low value of γ is consistent with the observed rough surfaces of the crystallites; this may reflect the effects of the softer potential due to the weak charges of our particles.

Four QBs with Si doping in eight-period QWs are the favorable condition to modify the confinement potential to attain soft confinement potential of InGaN/GaN QWs, leading to the best optoelectronic performance of blue LED.