Sentence examples for initial discontinuous from inspiring English sources

In this study, we developed an efficient two-step fractionation strategy for the enrichment of iISGs and mISGs, in which an initial discontinuous OptiPrep gradient was applied, followed by a Percoll solution.

The fluid interface in each of the mixed cells is represented by piecewise parabolic curves and an initial discontinuous PLIC approximation of the interface is progressively converted into a smooth quadratic spline made of these parabolic curves.

Such an MHD Riemann solver is presented here which treats all waves emanating from the initial discontinuity as themselves discontinuous.

However, the piece-wise discontinuous initial data and the hyperbolic-parabolic nature of the Navier Stokes equations seem inconsistent mathematically, such as the divergence of the viscous and heat conducting terms due to initial discontinuity.

Later, Liu et al. [22] obtained the global weak solution with discontinuous initial data when the initial energy is small enough.

There are many significant progresses achieved on the global existence of weak solutions and dynamical behaviors of jump discontinuity for the compressible Navier-Stokes equations with discontinuous initial data, for example, as the viscosity coefficients μ and λ are both constants, Hoff investigated the global existence of discontinuous solutions of one-dimension Navier-Stokes equations [1 3].

The Hunt Crossley models do not have the discontinuities i.e. negative force, instantaneously high initial force or discontinuous transition between deformation and restitution phases of impact which are present in the other models.

Instead of using a discontinuous initial condition in the gas-kinetic BGK NS method Xu [K.

Both methods are applied to a potassium sulfate crystallization problem (K2SO4 H2O system) with a discontinuous initial condition.

As an example of the application of our results, we show the existence of extremal solutions to a class of discontinuous initial value problems.

In this paper, we consider the exterior problem for spherically symmetric isentropic compressible Navier-Stokes equations with density-dependent viscosity coefficients and discontinuous initial data.