Global existence of weak solutions to the three-dimensional Prandtl equations with a special structure

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Global Existence of Strong Solutions to the Three-Dimensional Incompressible Navier-Stokes Equations with Special Boundary Conditions

We consider the three-dimensional incompressible Navier-Stokes equations in a domain of the form 0 (0;). We assume no-slip boundary conditions on @ 0 (0;), periodic conditions on 0 f0;g, and show that with certain assumptions on the initial condition and forcing function a strong solution exists for all time. Physically, these boundary conditions model uid ow in a pipe where the innow and outto...

متن کامل

Global existence and uniqueness of solutions to the three-dimensional Boussinesq equations

where p = p(x, t) is the scalar pressure, u = u(x, t) is the velocity vector field, and θ = θ (x, t) is a scalar quantity such as the concentration of a chemical substance or the temperature variation in a gravity field, in which case θe represents the buoyancy force. The nonnegative parameters μ and ν denote the molecular diffusion and the viscosity, respectively; u · ∇u := ua∂au, ∂au := ∂u ∂...

متن کامل

Global Existence of Martingale Solutions to the Three-dimensional Stochastic Compressible Navier-stokes Equations

The stochastic three-dimensional compressible Navier-Stokes equations are considered in a bounded domain with multiplicative noise. The global existence of martingale solution is established through the Galerkin approximation method, stopping time, compactness method and the Jakubowski-Skorokhod theorem. A martingale solution is a weak solution for the fluid variables and the Brownian motion on...

متن کامل

Existence and uniqueness of weak solutions for a class of nonlinear divergence type diffusion equations

‎In this paper‎, ‎we study the Neumann boundary value problem of a class of nonlinear divergence type diffusion equations‎. ‎By a priori estimates‎, ‎difference and variation techniques‎, ‎we establish the existence and uniqueness of weak solutions of this problem.

متن کامل

Almost Global Existence for the Prandtl Boundary Layer Equations

We consider the Prandtl boundary layer equations on the half plane, with initial datum that lies in a weighted H1 space with respect to the normal variable, and is real-analytic with respect to the tangential variable. The boundary trace of the horizontal Euler flow is taken to be a constant. We prove that if the Prandtl datum lies within ε of a stable profile, then the unique solution of the C...

متن کامل

ذخیره 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: Discrete and Continuous Dynamical Systems - Series S

سال: 2016

ISSN: 1937-1632

DOI: 10.3934/dcdss.2016082