Class information for:
Level 1: COMPRESSIBLE NAVIER STOKES EQUATIONS//DENSITY DEPENDENT VISCOSITY//INCOMPRESSIBLE LIMIT

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
5435 1624 22.6 51%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
244 3       MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP 46988
704 2             NAVIER STOKES EQUATIONS//GLOBAL ATTRACTOR//CAHN HILLIARD EQUATION 12952
5435 1                   COMPRESSIBLE NAVIER STOKES EQUATIONS//DENSITY DEPENDENT VISCOSITY//INCOMPRESSIBLE LIMIT 1624

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 COMPRESSIBLE NAVIER STOKES EQUATIONS authKW 1529347 9% 54% 152
2 DENSITY DEPENDENT VISCOSITY authKW 674261 3% 78% 46
3 INCOMPRESSIBLE LIMIT authKW 501661 2% 68% 39
4 NAVIER STOKES FOURIER SYSTEM authKW 397158 2% 81% 26
5 COMPRESSIBLE NAVIER STOKES SYSTEM authKW 341830 1% 91% 20
6 LOW MACH NUMBER LIMIT authKW 302584 2% 62% 26
7 COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS authKW 300814 1% 100% 16
8 COMPRESSIBLE FLUIDS authKW 274138 2% 42% 35
9 NAVIER STOKES POISSON EQUATIONS authKW 248831 1% 88% 15
10 STRONG SOLUTION authKW 227826 5% 16% 77

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 Mathematics, Applied 42338 63% 0% 1031
2 Mathematics 23873 52% 0% 849
3 Physics, Mathematical 1044 8% 0% 125
4 Mechanics 855 9% 0% 144
5 Mathematics, Interdisciplinary Applications 248 3% 0% 53
6 Physics, Fluids & Plasmas 201 3% 0% 53
7 Multidisciplinary Sciences 7 1% 0% 10
8 Computer Science, Interdisciplinary Applications 2 1% 0% 16
9 Engineering, Petroleum 1 0% 0% 3
10 Engineering, General 0 1% 0% 11

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 IMATH 109780 2% 23% 25
2 HUBEI MATH PHYS 100258 1% 44% 12
3 FUJIAN PROV MATH MODELING SCI COMP 95171 1% 56% 9
4 EA 2134 93342 1% 41% 12
5 EA2134 60161 0% 80% 4
6 LAVRYENTYEV HYDRODYNAM 58749 0% 63% 5
7 PL COMPLEX SYST 56403 0% 100% 3
8 HUA LOO KENG MATH 35482 1% 11% 17
9 SCI ENGN COMP MOE 33419 0% 44% 4
10 NONLINEAR ANAL 28700 1% 8% 18

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF MATHEMATICAL FLUID MECHANICS 84372 3% 10% 44
2 JOURNAL OF DIFFERENTIAL EQUATIONS 51113 9% 2% 140
3 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 30181 5% 2% 77
4 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 24748 4% 2% 58
5 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 22670 4% 2% 66
6 COMMUNICATIONS IN MATHEMATICAL SCIENCES 16317 2% 3% 25
7 ACTA MATHEMATICA SCIENTIA 14346 3% 2% 44
8 JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 12985 2% 2% 31
9 NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 11543 2% 2% 39
10 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 11102 2% 2% 29

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 COMPRESSIBLE NAVIER STOKES EQUATIONS 1529347 9% 54% 152 Search COMPRESSIBLE+NAVIER+STOKES+EQUATIONS Search COMPRESSIBLE+NAVIER+STOKES+EQUATIONS
2 DENSITY DEPENDENT VISCOSITY 674261 3% 78% 46 Search DENSITY+DEPENDENT+VISCOSITY Search DENSITY+DEPENDENT+VISCOSITY
3 INCOMPRESSIBLE LIMIT 501661 2% 68% 39 Search INCOMPRESSIBLE+LIMIT Search INCOMPRESSIBLE+LIMIT
4 NAVIER STOKES FOURIER SYSTEM 397158 2% 81% 26 Search NAVIER+STOKES+FOURIER+SYSTEM Search NAVIER+STOKES+FOURIER+SYSTEM
5 COMPRESSIBLE NAVIER STOKES SYSTEM 341830 1% 91% 20 Search COMPRESSIBLE+NAVIER+STOKES+SYSTEM Search COMPRESSIBLE+NAVIER+STOKES+SYSTEM
6 LOW MACH NUMBER LIMIT 302584 2% 62% 26 Search LOW+MACH+NUMBER+LIMIT Search LOW+MACH+NUMBER+LIMIT
7 COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS 300814 1% 100% 16 Search COMPRESSIBLE+MAGNETOHYDRODYNAMIC+EQUATIONS Search COMPRESSIBLE+MAGNETOHYDRODYNAMIC+EQUATIONS
8 COMPRESSIBLE FLUIDS 274138 2% 42% 35 Search COMPRESSIBLE+FLUIDS Search COMPRESSIBLE+FLUIDS
9 NAVIER STOKES POISSON EQUATIONS 248831 1% 88% 15 Search NAVIER+STOKES+POISSON+EQUATIONS Search NAVIER+STOKES+POISSON+EQUATIONS
10 STRONG SOLUTION 227826 5% 16% 77 Search STRONG+SOLUTION Search STRONG+SOLUTION

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 QIN, YM , ZHANG, JL , SU, X , CAO, J , (2016) GLOBAL EXISTENCE AND EXPONENTIAL STABILITY OF SPHERICALLY SYMMETRIC SOLUTIONS TO A COMPRESSIBLE COMBUSTION RADIATIVE AND REACTIVE GAS.JOURNAL OF MATHEMATICAL FLUID MECHANICS. VOL. 18. ISSUE 3. P. 415 -461 41 95% 1
2 JIANG, S , JU, QC , LI, FC , XIN, ZP , (2014) LOW MACH NUMBER LIMIT FOR THE FULL COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH GENERAL INITIAL DATA.ADVANCES IN MATHEMATICS. VOL. 259. ISSUE . P. 384-420 39 98% 10
3 DUAN, Q , LI, HL , (2015) GLOBAL EXISTENCE OF WEAK SOLUTION FOR THE COMPRESSIBLE NAVIER-STOKES-POISSON SYSTEM FOR GASEOUS STARS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 259. ISSUE 10. P. 5302 -5330 39 98% 1
4 GUO, ZH , LI, HL , XIN, ZP , (2012) LAGRANGE STRUCTURE AND DYNAMICS FOR SOLUTIONS TO THE SPHERICALLY SYMMETRIC COMPRESSIBLE NAVIER-STOKES EQUATIONS.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 309. ISSUE 2. P. 371-412 37 95% 28
5 LI, HL , LI, J , XIN, ZP , (2008) VANISHING OF VACUUM STATES AND BLOW-UP PHENOMENA OF THE COMPRESSIBLE NAVIER-STOKES EQUATIONS.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 281. ISSUE 2. P. 401 -444 35 100% 81
6 YE, YL , DOU, CS , JIU, QS , (2014) LOCAL WELL-POSEDNESS TO THE CAUCHY PROBLEM OF THE 3-D COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY.ACTA MATHEMATICA SCIENTIA. VOL. 34. ISSUE 3. P. 851 -871 35 100% 1
7 JIU, QS , WANG, Y , XIN, ZP , (2014) GLOBAL WELL-POSEDNESS OF 2D COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH LARGE DATA AND VACUUM.JOURNAL OF MATHEMATICAL FLUID MECHANICS. VOL. 16. ISSUE 3. P. 483 -521 35 95% 5
8 JIU, QS , WANG, YX , XIN, ZP , (2015) REMARKS ON BLOW-UP OF SMOOTH SOLUTIONS TO THE COMPRESSIBLE FLUID WITH CONSTANT AND DEGENERATE VISCOSITIES.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 259. ISSUE 7. P. 2981 -3003 33 97% 0
9 ZHANG, YH , ZHU, CJ , (2015) GLOBAL EXISTENCE AND OPTIMAL CONVERGENCE RATES FOR THE STRONG SOLUTIONS IN H-2 TO THE 3D VISCOUS LIQUID GAS TWO-PHASE FLOW MODEL.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 258. ISSUE 7. P. 2315 -2338 35 90% 1
10 JIANG, S , OU, YB , (2011) INCOMPRESSIBLE LIMIT OF THE NON-ISENTROPIC NAVIER-STOKES EQUATIONS WITH WELL-PREPARED INITIAL DATA IN THREE-DIMENSIONAL BOUNDED DOMAINS.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES. VOL. 96. ISSUE 1. P. 1-28 34 100% 7

Classes with closest relation at Level 1


Rank Class id link
1 17300 EULER POISSON EQUATIONS//EULER POISSON SYSTEM//QUASI NEUTRAL LIMIT
2 15111 PRIMITIVE EQUATIONS//SCI COMP PL MATH//PL MATH SCI COMP
3 24033 KINETIC POLYMER MODELS//POLYMERIC FLOW MODELS//OLDROYD MODEL
4 18777 DIFFERENTIAL ALGEBRAIC SOLVER//MCI//M2NET
5 7764 EVANS FUNCTION//VISCOUS CONSERVATION LAWS//RAREFACTION WAVE
6 986 REGULARITY CRITERION//REGULARITY CRITERIA//NAVIER STOKES EQUATIONS
7 20585 MAXIMAL L P L Q REGULARITY//DEGENERATE BOUNDARY CONDITION//BABUSKAS PARADOX
8 31142 QUASI GASDYNAMIC SYSTEM OF EQUATIONS//QUASI GASDYNAMIC EQUATIONS//STABILITY OF SMALL PERTURBATIONS
9 17690 NONLINEAR GEOMETRIC OPTICS//IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS//PLASMA VACUUM INTERFACE
10 20111 STOCHASTIC FLOWS//ISOTROPIC BROWNIAN FLOW//REGULAR LAGRANGIAN FLOWS

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