scholarly journals The Entropy Principle from Continuum Mechanics to Hyperbolic Systems of Balance Laws: The Modern Theory of Extended Thermodynamics

Entropy ◽  
2008 ◽  
Vol 10 (3) ◽  
pp. 319-333 ◽  
Author(s):  
Tommaso Ruggeri
Keyword(s):  
Continuum Mechanics ◽  
Hyperbolic Systems ◽  
Extended Thermodynamics ◽  
Modern Theory ◽  
Balance Laws ◽  
Systems Of Balance Laws ◽  
Entropy Principle

ONE-SIDED ESTIMATES AND UNIQUENESS FOR HYPERBOLIC SYSTEMS OF BALANCE LAWS

2003 ◽  
Vol 13 (04) ◽  
pp. 527-543 ◽  
Author(s):  
PAOLA GOATIN
Keyword(s):  
Hyperbolic Systems ◽  
Decay Estimates ◽  
Balance Laws ◽  
Uniqueness Of Solutions ◽  
Local Oscillation ◽  
Systems Of Balance Laws

Uniqueness of solutions of genuinely nonlinear n × n strictly hyperbolic systems of balance laws is established moving from Oleïnik-type decay estimates. As middle step, the result relies on the fulfillment of a condition which controls the local oscillation of the solution in a forward neighborhood of each point in the t–x plane.

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