Nano boundary layer equation with nonlinear Navier boundary condition
نویسندگان
چکیده
منابع مشابه
Nvestigation of a Boundary Layer Problem for Perturbed Cauchy-Riemann Equation with Non-local Boundary Condition
Boundary layer problems (Singular perturbation problems) more have been applied for ordinary differential equations. While this theory for partial differential equations have many applications in several fields of physics and engineering. Because of complexity of limit and boundary behavior of the solutions of partial differential equations these problems considered less than ordinary case. In ...
متن کاملBoundary streaming with Navier boundary condition.
In microfluidic applications involving high-frequency acoustic waves over a solid boundary, the Stokes boundary-layer thickness δ is so small that some non-negligible slip may occur at the fluid-solid interface. This paper assesses the impact of this slip by revisiting the classical problem of steady acoustic streaming over a flat boundary, replacing the no-slip boundary condition with the Navi...
متن کاملPorous medium equation with absorption and a nonlinear boundary condition
In this paper we study a porous medium equation with a nonlinear absorption term and a nonlinear boundary condition. We prove existence of weak solutions and also we establish some uniqueness and non uniqueness results for certain range of the parameters that appear in the problem. Finally we deal with the existence of global solutions in time or blow-up. We find in which region of parameters t...
متن کاملUniform Regularity for the Navier-stokes Equation with Navier Boundary Condition
We prove that there exists an interval of time which is uniform in the vanishing viscosity limit and for which the Navier-Stokes equation with Navier boundary condition has a strong solution. This solution is uniformly bounded in a conormal Sobolev space and has only one normal derivative bounded in L∞. This allows to get the vanishing viscosity limit to the incompressible Euler system from a s...
متن کاملBoundary Layer Analysis of the Navier-stokes Equations with Generalized Navier Boundary Conditions
We study the weak boundary layer phenomenon of the Navier-Stokes equations with generalized Navier friction boundary conditions, u ·n = 0, [S(u)n] tan +Au = 0, in a bounded domain in R when the viscosity, ε > 0, is small. Here, S(u) is the symmetric gradient of the velocity, u, and A is a type (1, 1) tensor on the boundary. When A = αI we obtain Navier boundary conditions, and when A is the sha...
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: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.08.047