Euler Equations of Inviscid Fluids
نویسندگان
چکیده
Progresses on the dynamical system theory of 2D Euler equation are reported. An open problem is presented. The isospectral theory on Lax pairs of Euler equations is initiated.
منابع مشابه
Inviscid Two-Dimensional Fluid Dynamics Experiments with Magnetized Electron Columns
Inviscid two-dimensional (2D) fluid phenomena like hurricanes, jet streams, Jupiter’s Red Spot, and protoplanetary disks are quite common in Nature. Unfortunately, 2D fluid phenomena are difficult to study in the laboratory because the finite size of laboratory apparati commonly introduces unwanted viscous and friction effects. Magnetized electron columns, however, behave like twodimensional fl...
متن کاملInviscid Compressible Flow in Meridional Plane of an Axial Flow Compressor
In this paper it is attempted to investigate the behavior of an inviscid flow in the meridional plane of an axial flow compressor. For this purpose the 3-D unsteady Euler equations in cylindrical coordinate are averaged in tangential direction. Therefore, the equations are reduced to a 2-D system. By averaging the tangential component of momentum equation, a blade force will result. Axial and r...
متن کاملA Composite Finite Difference Scheme for Subsonic Transonic Flows (RESEARCH NOTE).
This paper presents a simple and computationally-efficient algorithm for solving steady two-dimensional subsonic and transonic compressible flow over an airfoil. This work uses an interactive viscous-inviscid solution by incorporating the viscous effects in a thin shear-layer. Boundary-layer approximation reduces the Navier-Stokes equations to a parabolic set of coupled, non-linear partial diff...
متن کاملInviscid Compressible Flow in Meridional Plane of an Axial Flow Compressor
In this paper it is attempted to investigate the behavior of an inviscid flow in the meridional plane of an axial flow compressor. For this purpose the 3-D unsteady Euler equations in cylindrical coordinate are averaged in tangential direction. Therefore, the equations are reduced to a 2-D system. By averaging the tangential component of momentum equation, a blade force will result. Axial and r...
متن کاملTransport and Instability for Incompressible and Inviscid Fluids
Incompressible perfect fluids are described by the Euler equations. We provide a new simple proof for well-posedness for velocities in C1;α and linear and nonlinear instability results using transport techniques. The results have an important consequence: the topology of C1;α is too fine for interesting questions about large time behavior.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004