Many of the difficulties that arise from the specification of open boundary conditions when modeling a limited region of the ocean with theprimitive equationscan be overcome by using a nonhydrostatic set of equations that is well posed in open domains even without the viscous term.
In the context of Lp forms in Lipschitz domains, we show that both are well posed provided that 2−ε<p<2+ε, for some ε>0, depending on the domain.
The interpretation of PNS procedures as the first sweep of a TLNS ADI procedure also suggests an obvious global pressure iteration method that is mathematically well posed and, hence, leads to an efficient rapidly converging global iteration procedure.
On September 4, with the new BOP in place, Admiral Allen announced that the damaged well posed no further risk to the environment.
We also proceed to apply the Babuska-Brezzi theory to prove that (2.6) is well posed for the non-stationary case.
This formulation is called hard margin SVM and implies that the problem is well posed, separable and that a solution exists.
We show that the approximate problems are well posed and that their solutions converge if and only if the original problem has a classical solution.
This means that (u_{k}) should be well posed with respect to (w_{0}), which is called the well-posed condition of iterative functions, that is, c_{1} e) biglvert nabla u_{k} e) bigrvert ^{p-2} le biglvert nabla w_{0} e) bigrvert le c_{2} e) biglvert nabla u_{k} e) bigrvert ^{p-2}, (3.6) where (c_{1} e)) and (c_{2} e)) meet the requirements of Definition 2.
Firstly, we briefly show that problem (1.1 - 1.3 1.1 - 1.3posed.
end{aligned} such that (u_{0}) is well posed.
In order to show that problem (4.1) is well posed, we assume the following condition.
