Sentence examples for initial data for a from inspiring English sources
Initial data for a MD-MC simulation are smooth.
This offers interactive data visualization and analysis, even on relatively low bandwidth links, once initial data for a molecule or calculation has been downloaded.
When the exponents q, r satisfy the more general constitutive relations than those in [8, 9], Qin [10] established the regularity and asymptotic behavior of global solutions with arbitrary initial data for a one-dimensional viscous heat-conductive real gas.
In this paper, we derive a new generalized Volterra–Fredholm integral inequality and use it to study the dependence of solutions on the initial data for a class of fractional differential equations with Fredholm integral operators.
As initial data for a seismic microzoning, the characterisation of earthquake effects has been made considering several relative (2D/1D) quantities (PGDR, PGVR, PGAR, DGAR, IAR ratios of peak ground values of displacement, velocity and acceleration, and of design ground acceleration and Arias intensity-, etc).
In this paper, we establish a generalized Volterra–Fredholm integral inequality with weakly singular kernel and show its usefulness by applying it to the study of dependence of solutions on the initial data for a class of fractional differential equations involving Fredholm integral operators.
By considering and and hypotheses on the initial data, for all and, we obtain (3.29).
By considering and hypotheses on the initial data, for all and, we obtain (3.11).
Liang and Lu [7] obtained the global-in-time existence of a unique classical solution with large initial data for the Cauchy problem for a compressible viscous fluid in one-dimensional space.
These tests provide significant initial data for the design of a miniature mobile intra-abdominal device which drives the need for this adhesion study.
In Section 3, we apply the results established in Section 2 to research boundedness, quantitative property, and continuous dependence on the initial data for the solution to a certain fractional integral equation.
