scholarly journals Characteristic Boundary Layers for Mixed Hyperbolic‐Parabolic Systems in One Space Dimension and Applications to the Navier‐Stokes and MHD Equations

2020 ◽  
Vol 73 (10) ◽  
pp. 2180-2247
Author(s):  
Stefano Bianchini ◽  
Laura V. Spinolo
Keyword(s):  
Boundary Layers ◽  
Space Dimension ◽  
Parabolic Systems ◽  
Mhd Equations ◽  
Navier Stokes ◽  
Characteristic Boundary ◽  
One Space Dimension

Convergence of diffusive BGK approximations for nonlinear strongly parabolic systems

2002 ◽  
Vol 132 (2) ◽  
pp. 341-358 ◽  
Author(s):  
Corrado Lattanzio ◽  
Roberto Natalini
Keyword(s):  
Space Dimension ◽  
Global Solutions ◽  
Parabolic Systems ◽  
Compensated Compactness ◽  
Rigorous Result ◽  
Formal Limit ◽  
One Space Dimension

We study a class of BGK approximations of parabolic systems in one space dimension. We prove stability and existence of global solutions for this model. Moreover, under certain conditions, we prove a rigorous result of convergence toward the formal limit, by using compensated compactness techniques.

scholarly journals Self-Similar Solutions of the Compressible Flow in One-Space Dimension

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Tailong Li ◽  
Ping Chen ◽  
Jian Xie
Keyword(s):  
Gas Flow ◽  
Space Dimension ◽  
Stokes Equations ◽  
Strong Solutions ◽  
Compressible Fluids ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Self Similar ◽  
Similar Solutions ◽  
One Space Dimension

For the isentropic compressible fluids in one-space dimension, we prove that the Navier-Stokes equations with density-dependent viscosity have neither forward nor backward self-similar strong solutions with finite kinetic energy. Moreover, we obtain the same result for the nonisentropic compressible gas flow, that is, for the fluid dynamics of the Navier-Stokes equations coupled with a transport equation of entropy. These results generalize those in Guo and Jiang's work (2006) where the one-dimensional compressible fluids with constant viscosity are considered.

Essential Ingredients for the Computation of Steady and Unsteady Blade Boundary Layers

1991 ◽  
Vol 113 (4) ◽  
pp. 608-616 ◽  
Author(s):  
H. M. Jang ◽  
J. A. Ekaterinaris ◽  
M. F. Platzer ◽  
T. Cebeci
Keyword(s):  
Boundary Layer ◽  
Boundary Layers ◽  
Stokes Equations ◽  
Inviscid Flow ◽  
Reynolds Numbers ◽  
Navier Stokes ◽  
Transitional Region ◽  
Low Reynolds Numbers ◽  
Flow Equations ◽  
Low Reynolds

Two methods are described for calculating pressure distributions and boundary layers on blades subjected to low Reynolds numbers and ramp-type motion. The first is based on an interactive scheme in which the inviscid flow is computed by a panel method and the boundary layer flow by an inverse method that makes use of the Hilbert integral to couple the solutions of the inviscid and viscous flow equations. The second method is based on the solution of the compressible Navier–Stokes equations with an embedded grid technique that permits accurate calculation of boundary layer flows. Studies for the Eppler-387 and NACA-0012 airfoils indicate that both methods can be used to calculate the behavior of unsteady blade boundary layers at low Reynolds numbers provided that the location of transition is computed with the en method and the transitional region is modeled properly.

scholarly journals Self-adjoint Dirac type Hamiltonians in one space dimension with a mass jump

2015 ◽  
Vol 48 (4) ◽  
pp. 045207 ◽  
Author(s):  
L A González-Díaz ◽  
Alberto A Díaz ◽  
S Díaz-Solórzano ◽  
J R Darias
Keyword(s):  
Space Dimension ◽  
Dirac Type ◽  
One Space Dimension
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