Interior Estimates for Generalized Forchheimer Flows of Slightly Compressible Fluids
نویسندگان
چکیده
منابع مشابه
Structural Stability of Generalized Forchheimer Equations for Compressible Fluids in Porous Media
We study the generalized Forchheimer equations for slightly compressible fluids in porous media. The structural stability is established with respect to either the boundary data or the coefficients of the Forchheimer polynomials. An inhomogeneous Poincare-Sobolev inequality related to the non-linearity of the equation is used to study the asymptotic behavior of the solutions. Moreover, we prove...
متن کاملPROPERTIES OF GENERALIZED FORCHHEIMER FLOWS IN POROUS MEDIA By
The nonlinear Forchheimer equations are used to describe the dynamics of fluid flows in porous media when Darcy's law is not applicable. In this article, we consider the generalized Forchheimer flows for slightly compressible fluids and study the initial boundary value problem for the resulting degenerate parabolic equation for pressure with the time-dependent flux boundary condition. We estima...
متن کاملMotion of a slightly compressible fluid.
We show that the motion of a slightly compressible fluid is near that of an incompressible fluid. That is, for a given initial velocity field, the motion of a compressible fluid with large sound speed is near to that of an idealized incompressible fluid. We consider the compressible fluid motion in Lagrangian coordinates and show that it can be defined by two functions giving the kinetic and po...
متن کاملDynamics and Stabilities of Generalized Forchheimer Flows with the Flux Boundary Condition
We study generalized Forchheimer equations for slightly compressible fluids in porous media subjected to the flux condition on the boundary. We derive estimates for the pressure, its gradient and time derivative in terms of the time-dependent boundary data. For the stability, we establish the continuous dependence of the pressure and pressure gradient on the boundary flux and coefficients of th...
متن کاملLagrangian Averaging for Compressible Fluids
This paper extends the derivation of the Lagrangian averaged Euler (LAEα) equations to the case of barotropic compressible flows. The aim of Lagrangian averaging is to regularize the compressible Euler equations by adding dispersion instead of artificial viscosity. Along the way, the derivation of the isotropic and anisotropic LAE-α equations is simplified and clarified. The derivation in this ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advanced Nonlinear Studies
سال: 2017
ISSN: 2169-0375,1536-1365
DOI: 10.1515/ans-2016-6027