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Abstract
In this paper, we consider a compressible dissipative BaerNunziatoType system for a mixture of two compressible heat conducting gases. We prove that the set of weak solutions is stable, meaning that any sequence of weak solutions contains a (weakly) convergent subsequence whose limit is again a weak solution to the original system. Such type of results is usually considered as the most essential step to the proof of the existence of weak solutions. This is the first result of this type in the mathematical literature. Nevertheless, the construction of weak solutions to this system however remains still an (difficult) open problem.
Original language  English 

Pages (fromto)  15171553 
Number of pages  37 
Journal  Mathematical Models and Methods in Applied Sciences 
Volume  30 
Issue number  8 
DOIs  
State  Published  1 Jul 2020 
Keywords
 BaerNunziatoType system
 Bifluid system
 compressible NavierStokesFourier equations
 continuity equation
 large data weak solution
 transport equation
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 1 Finished

The Water Wave Equation and the Incompressible Limit Problems(2/2)
Cheng, C.H. (PI)
1/08/19 → 31/07/20
Project: Research