Vector Potentials with Mixed Boundary Conditions. Application to the Stokes Problem with Pressure and Navier-type Boundary Conditions

2021 ◽  
Vol 53 (2) ◽  
pp. 1745-1784
Author(s):  
Chérif Amrouche ◽  
Imane Boussetouan
Keyword(s):  
Boundary Conditions ◽  
Mixed Boundary ◽  
Stokes Problem ◽  
Mixed Boundary Conditions ◽  
Vector Potentials ◽  
Type Boundary

scholarly journals Error analysis of an augmented mixed method for the Navier–Stokes problem with mixed boundary conditions

2017 ◽  
Vol 38 (3) ◽  
pp. 1452-1484 ◽  
Author(s):  
Jessika Camaño ◽  
Ricardo Oyarzúa ◽  
Ricardo Ruiz-Baier ◽  
Giordano Tierra
Keyword(s):  
Error Analysis ◽  
Boundary Conditions ◽  
Mixed Method ◽  
Mixed Boundary ◽  
Stokes Problem ◽  
Mixed Boundary Conditions ◽  
Navier Stokes

scholarly journals General solutions in Chern-Simons gravity and $$ T\overline{T} $$-deformations

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Eva Llabrés
Keyword(s):  
Variational Principle ◽  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Dirichlet Boundary Conditions ◽  
Spin Connection ◽  
Departure Point ◽  
Boundary Stress ◽  
Chern Simons

Abstract We find the most general solution to Chern-Simons AdS3 gravity in Fefferman-Graham gauge. The connections are equivalent to geometries that have a non-trivial curved boundary, characterized by a 2-dimensional vielbein and a spin connection. We define a variational principle for Dirichlet boundary conditions and find the boundary stress tensor in the Chern-Simons formalism. Using this variational principle as the departure point, we show how to treat other choices of boundary conditions in this formalism, such as, including the mixed boundary conditions corresponding to a $$ T\overline{T} $$ T T ¯ -deformation.

Sign in / Sign up

Export Citation Format

Share Document