Computation and Applied Mathematics

A)-chain Assume asymptotics analysis bifurcation boiling temperature Brasileira de Matemática C(ro capillary chain control sets characteristic speed coefficient cold water zone compact metric space Computational & Applied connate water constant convergence convex damage define denote differential games effective control set enthalpy exists F-chain family of subsets fiber bundle given in Eq Heat and Mass Hence homeomorphisms hot region hot steam zone hot water zone inequality inſ Lemma liquid water region Luikov number macroscopic motions mass transfer Mathematical subject classification metric space nonlinear nth stage obtain optimization outer approximation paramonotone porous medium principal bundle problem Proof Qq q rarefaction rarefaction wave Remark result Riemann solution saddle point satisfies semigroup sequence Sşl steam and water steam condensation Steam injection steam-water subdifferential trajectories unique value function vanishing viscosity solution water saturation