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To investigate the effect of a reservoir slope, we simulated a reservoir with previous initial data and a dip angle of 4.7°.
where f ( u ) = b | u | p, b > 0 and p > 1 are constants, u 0 ( x ) and u 1 ( x ) are given initial data, and a > 0 is a given constant satisfying certain conditions to be specified later.
where d = 1 2 2 V and e = V + M. We notice that d 2 + 4 e ≥ 0. Consequently, given V and M, from the initial data and a solution satisfying those initial conditions, the ∥ ( u, ξ ) ∥ H 1 is bounded by (12).
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It is shown that the 2-D incompressible inhomogeneous magnetohydrodynamics system with a constant viscosity is globally well-posed for a generic family of the variations of the initial data and an inhomogeneous electrical conductivity.
The ANN architecture has neurons in both an input layer which receives the initial data and an output layer which relays the prediction of the target variable.
Thus, the function Q φ represents a quantitative measure of the quality of the initial data and, as a consequence, reflects the level of confidence in the resulting data.
Numerical validation performed on Riemann initial data and for a model plasma opening switch device show that the AP-scheme is convergent to the Euler Maxwell solution when Δx/λ → 0 where Δx is the spatial discretization.
We switch the analysis of the initial-boundary problem from Euler coordinates to Lagrangian coordinates under proper initial data, and get a so-called transformed MHD problem.
In 1997, Flaim and Antipen [4] introduced an iterative method of finding the best approximation to the initial data and proved a strong convergence theorem.
In 1997, Combettes and Hirstoaga [9] introduced an iterative method for finding the best approximation to the initial data and proved a strong convergence theorem.
For solving the equilibrium problem, Combettes and Hirstoaga [5] introduced an iterative algorithm of finding the best approximation to the initial data and proved a strong convergence theorem.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com