On Gibbs stability in the classical theory of fluid mixtures

1981 ◽  
Vol 32 (3) ◽  
pp. 286-295 ◽  
Author(s):  
Scott J. Spector
1971 ◽  
Vol 43 (3) ◽  
pp. 179-197 ◽  
Author(s):  
Morton E. Gurtin ◽  
Antonio S. Vargas

1998 ◽  
Vol 94 (5) ◽  
pp. 809-814 ◽  
Author(s):  
C. BARRIO ◽  
J.R. SOLANA

2013 ◽  
Author(s):  
Liu-Qin Yang ◽  
Robert R. Wright ◽  
Liu-Qin Yang ◽  
Lisa M. Kath ◽  
Michael T. Ford ◽  
...  

2017 ◽  
Author(s):  
A. Fenghour
Keyword(s):  

Author(s):  
Brian Street

This chapter discusses a case for single-parameter singular integral operators, where ρ‎ is the usual distance on ℝn. There, we obtain the most classical theory of singular integrals, which is useful for studying elliptic partial differential operators. The chapter defines singular integral operators in three equivalent ways. This trichotomy can be seen three times, in increasing generality: Theorems 1.1.23, 1.1.26, and 1.2.10. This trichotomy is developed even when the operators are not translation invariant (many authors discuss such ideas only for translation invariant, or nearly translation invariant operators). It also presents these ideas in a slightly different way than is usual, which helps to motivate later results and definitions.


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