Freezing the coefficients of (4.15), we have (4.17).
In the class direct proofs, one "freezes the coefficients" with constant coefficients.
2.1.2 but with some modifications: to construct (B u^{0,pm }|_{x_1=0}) and from it to construct (u^{1,pm }), we freeze coefficients in ((y',0)) rather than in y.
We freeze all coefficients and consider a left half-plane problem with linear boundary conditions terminating the PML.
The sample was frozen, and coefficients estimated from the 25% sample.
This involves the concatenation of solutions of piecewise linear systems on successive time subintervals obtained by freezing the nonlinear nonlocal coefficients to their values at the start of each subinterval.
Heat transfer coefficients ranged from 8to15Wm−2K−1K−1 during freezing, and the overall heat transfer coefficients ranged from 5 to 7 Wm−2 K−1 during thawing.
Measured olivine storage capacities are in agreement or slightly greater than those predicted by a model that combines data from experimental freezing point depression and olivine/melt partition coefficients of H2O (Hirschmann et al., 2009).
Precisely we will consider the constant coefficient frozen operator: begin{aligned} L_{epsilon,(x_0,t_0)}equiv partial _t - sum _{i,j=1}^n a^epsilon _{ij}(x_0,t_0) X_i^epsilon X_j^epsilon, end{aligned}where ((x_0,t_0)in Q).
The model analyzes the effect of the convective heat transfer coefficient on the PCM capsule melting and freezing starting times and the duration of the PCM melting process.
Estimates of the rate at which thinning of the main ice cover occurs are usually based on a temperature index method in which a coefficient is applied to the air temperature above freezing.
