Obtain Lower-Dimensional Turbulence Systems from Higher-Dimensional Lax Integrable Models

2001 ◽  
Vol 36 (5) ◽  
pp. 550-552
Author(s):  
Lou Sen-Yue
Keyword(s):  
Integrable Models ◽  
Higher Dimensional ◽  
Lower Dimensional

ON FORMULATIONS AND SOLUTIONS OF SIMPLEX EQUATIONS

1996 ◽  
Vol 11 (24) ◽  
pp. 4453-4463 ◽  
Author(s):  
J. SCOTT CARTER ◽  
MASAHICO SAITO
Keyword(s):  
Higher Dimensional ◽  
Lower Dimensional

A version of the tetrahedral equation is formulated using a pictorial interpretation of the Frenkel-Moore equation. The picture gives a solution that is a product of quantum Yang-Baxter solutions. Higher-dimensional variants of the Frenkel-Moore equations are found from this pictorial interpretation, and the pictures reduce their solvability to the solvability of lower-dimensional equations.

Mixed Norm Type Hardy Inequalities

2011 ◽  
Vol 54 (4) ◽  
pp. 630-644 ◽  
Author(s):  
Alberto Fiorenza ◽  
Babita Gupta ◽  
Pankaj Jain
Keyword(s):  
Integral Operators ◽  
Mixed Norm ◽  
Hardy Inequalities ◽  
Higher Dimensional ◽  
Lower Dimensional

AbstractHigher dimensional mixed norm type inequalities involving certain integral operators are characterized in terms of the corresponding lower dimensional inequalities.

scholarly journals WARPED EMBEDDINGS BETWEEN EINSTEIN MANIFOLDS

2010 ◽  
Vol 25 (18) ◽  
pp. 1521-1530 ◽  
Author(s):  
HUAN-XIONG YANG ◽  
LIU ZHAO
Keyword(s):  
Einstein Manifold ◽  
Explicit Solutions ◽  
Einstein Manifolds ◽  
Higher Dimensional ◽  
Potential Applications ◽  
Lower Dimensional

Warped embeddings from a lower dimensional Einstein manifold into a higher dimensional one are analyzed. Explicit solutions for the embedding metrics are obtained for all cases of codimension 1 embeddings and some of the codimension n>1 cases. Some of the interesting features of the embedding metrics are pointed out and potential applications of the embeddings are discussed.

Sign in / Sign up

Export Citation Format

Share Document