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On weak (measure-valued)-strong uniqueness for compressible Navier-Stokes system with non-monotone pressure law
- Publication Year :
- 2019
-
Abstract
- In this paper our goal is to define a renormalized dissipative measure-valued (rDMV) solution of compressible Navier–Stokes system for fluids with non-monotone pressure–density relation. We prove existence of rDMV solutions and establish a suitable relative energy inequality. Moreover we obtain the weak (measure-valued)–strong uniqueness property of this rDMV solution with the help of relative energy inequality.
- Subjects :
- Technology
Property (philosophy)
General Mathematics
Mathematics, Applied
Compressible Navier-Stokes system
Non-monotone pressure
Mechanics
01 natural sciences
Measure (mathematics)
09 Engineering
Mathematics - Analysis of PDEs
Physics, Fluids & Plasmas
FOS: Mathematics
Applied mathematics
Uniqueness
Navier stokes
0101 mathematics
ddc:510
Non monotone
EQUATIONS
math.AP
01 Mathematical Sciences
Mathematical Physics
Mathematics
Science & Technology
02 Physical Sciences
Physics
Applied Mathematics
010102 general mathematics
Measure-valued solution
Condensed Matter Physics
010101 applied mathematics
Computational Mathematics
MEASURE-VALUED SOLUTIONS
Weak-strong uniqueness
Primary: 35Q30, Secondary: 35B30, 76N10
Physical Sciences
Dissipative system
Compressibility
Relative energy
Analysis of PDEs (math.AP)
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....2d0a431a68e0499466bbfd4cb0f604a5