The search session has expired. Please query the service again.
We study a one-dimensional model for two-phase flows in heterogeneous media, in which the capillary pressure functions can
be discontinuous with respect to space. We first give a model, leading to a system of degenerated nonlinear parabolic equations spatially coupled by nonlinear transmission conditions.
We approximate the solution of our problem thanks to a monotonous finite volume scheme. The convergence of the underlying discrete solution
to a weak solution when the discretization step...
We present a fully adaptive multiresolution scheme for spatially
one-dimensional quasilinear strongly degenerate parabolic equations
with zero-flux and periodic boundary conditions. The numerical scheme
is based on a finite volume discretization using the Engquist-Osher
numerical flux and explicit time stepping. An adaptive multiresolution
scheme based on cell averages is then used to speed up the CPU time and
the memory requirements of the underlying finite volume scheme, whose
first-order...
We introduce a sort of "local" Morrey spaces and show an existence and uniqueness theorem for the Dirichlet problem in unbounded domains for linear second order elliptic partial differential equations with principal coefficients "close" to functions having derivatives in such spaces.
Currently displaying 1 –
5 of
5