Class information for:
Level 1: KINETIC POLYMER MODELS//POLYMERIC FLOW MODELS//OLDROYD MODEL

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
24033 325 24.3 49%


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
24033 1                   KINETIC POLYMER MODELS//POLYMERIC FLOW MODELS//OLDROYD MODEL 325

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 KINETIC POLYMER MODELS authKW 657681 2% 100% 7
2 POLYMERIC FLOW MODELS authKW 563726 2% 100% 6
3 OLDROYD MODEL authKW 497687 4% 38% 14
4 INCOMPRESSIBLE VISCOELASTIC FLUIDS authKW 469772 2% 100% 5
5 COMPRESSIBLE VISCOELASTIC FLOWS authKW 391475 2% 83% 5
6 MICRO MACRO DYNAMICS authKW 375818 1% 100% 4
7 NONHOMOGENEOUS DILUTE POLYMER authKW 375818 1% 100% 4
8 FENE CHAIN authKW 335549 2% 71% 5
9 COMPRESSIBLE NAVIER STOKES FOKKER PLANCK SYSTEM authKW 281863 1% 100% 3
10 FENE DUMBBELL CHAINS authKW 281863 1% 100% 3

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 6625 56% 0% 183
2 Mathematics 2872 41% 0% 133
3 Mechanics 1339 23% 0% 74
4 Physics, Mathematical 141 6% 0% 21
5 Mathematics, Interdisciplinary Applications 94 4% 0% 14
6 Physics, Fluids & Plasmas 9 2% 0% 6
7 Computer Science, Interdisciplinary Applications 6 2% 0% 6
8 Multidisciplinary Sciences 1 1% 0% 2
9 Engineering, General 0 1% 0% 2
10 Mathematical & Computational Biology -0 0% 0% 1

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 MICMAC TEAM 211396 1% 75% 3
2 EEMCS DIAM 93954 0% 100% 1
3 INSA LYON POLE MATH 93954 0% 100% 1
4 LMF ISE FSTI 93954 0% 100% 1
5 MECH ENGN IMMC 93954 0% 100% 1
6 OUCL 84555 1% 30% 3
7 POLE MATH 62634 1% 33% 2
8 CLERMONT FERRAND 2 46976 0% 50% 1
9 INRIA MICMAC PROJECT TEAM 46976 0% 50% 1
10 PL MATH INFORMAT MECH 46976 0% 50% 1

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 COMMUNICATIONS IN MATHEMATICAL SCIENCES 18820 4% 2% 12
2 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 12330 7% 1% 22
3 JOURNAL OF NON-NEWTONIAN FLUID MECHANICS 12105 6% 1% 21
4 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 10640 5% 1% 17
5 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 9222 4% 1% 13
6 JOURNAL OF MATHEMATICAL FLUID MECHANICS 7836 2% 1% 6
7 RHEOLOGICA ACTA 6841 4% 1% 14
8 JOURNAL OF DIFFERENTIAL EQUATIONS 3753 5% 0% 17
9 ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 3525 2% 1% 7
10 MULTISCALE MODELING & SIMULATION 2960 2% 1% 5

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 KINETIC POLYMER MODELS 657681 2% 100% 7 Search KINETIC+POLYMER+MODELS Search KINETIC+POLYMER+MODELS
2 POLYMERIC FLOW MODELS 563726 2% 100% 6 Search POLYMERIC+FLOW+MODELS Search POLYMERIC+FLOW+MODELS
3 OLDROYD MODEL 497687 4% 38% 14 Search OLDROYD+MODEL Search OLDROYD+MODEL
4 INCOMPRESSIBLE VISCOELASTIC FLUIDS 469772 2% 100% 5 Search INCOMPRESSIBLE+VISCOELASTIC+FLUIDS Search INCOMPRESSIBLE+VISCOELASTIC+FLUIDS
5 COMPRESSIBLE VISCOELASTIC FLOWS 391475 2% 83% 5 Search COMPRESSIBLE+VISCOELASTIC+FLOWS Search COMPRESSIBLE+VISCOELASTIC+FLOWS
6 MICRO MACRO DYNAMICS 375818 1% 100% 4 Search MICRO+MACRO+DYNAMICS Search MICRO+MACRO+DYNAMICS
7 NONHOMOGENEOUS DILUTE POLYMER 375818 1% 100% 4 Search NONHOMOGENEOUS+DILUTE+POLYMER Search NONHOMOGENEOUS+DILUTE+POLYMER
8 FENE CHAIN 335549 2% 71% 5 Search FENE+CHAIN Search FENE+CHAIN
9 COMPRESSIBLE NAVIER STOKES FOKKER PLANCK SYSTEM 281863 1% 100% 3 Search COMPRESSIBLE+NAVIER+STOKES+FOKKER+PLANCK+SYSTEM Search COMPRESSIBLE+NAVIER+STOKES+FOKKER+PLANCK+SYSTEM
10 FENE DUMBBELL CHAINS 281863 1% 100% 3 Search FENE+DUMBBELL+CHAINS Search FENE+DUMBBELL+CHAINS

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 LIU, HL , SHIN, JM , (2012) THE CAUCHY-DIRICHLET PROBLEM FOR THE FINITELY EXTENSIBLE NONLINEAR ELASTIC DUMBBELL MODEL OF POLYMERIC FLUIDS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 44. ISSUE 5. P. 3617-3648 37 100% 1
2 MASMOUDI, N , (2013) GLOBAL EXISTENCE OF WEAK SOLUTIONS TO THE FENE DUMBBELL MODEL OF POLYMERIC FLOWS.INVENTIONES MATHEMATICAE. VOL. 191. ISSUE 2. P. 427 -500 35 73% 23
3 MASMOUDI, N , (2011) GLOBAL EXISTENCE OF WEAK SOLUTIONS TO MACROSCOPIC MODELS OF POLYMERIC FLOWS.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES. VOL. 96. ISSUE 5. P. 502 -520 29 83% 12
4 SUN, YZ , ZHANG, ZF , (2011) GLOBAL WELL-POSEDNESS FOR THE 2D MICRO-MACRO MODELS IN THE BOUNDED DOMAIN.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 303. ISSUE 2. P. 361-383 23 92% 10
5 LEI, Z , (2014) ROTATION-STRAIN DECOMPOSITION FOR THE INCOMPRESSIBLE VISCOELASTICITY IN TWO DIMENSIONS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 34. ISSUE 7. P. 2861 -2871 23 85% 2
6 LUKACOVA-MEDVID'OVA, M , MIZEROVA, H , NECASOVA, S , (2015) GLOBAL EXISTENCE AND UNIQUENESS RESULT FOR THE DIFFUSIVE PETERLIN VISCOELASTIC MODEL.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 120. ISSUE . P. 154 -170 22 88% 0
7 ZI, RZ , (2016) GLOBAL SOLUTION TO THE INCOMPRESSIBLE OLDROYD-B MODEL IN HYBRID BESOV SPACES.FILOMAT. VOL. 30. ISSUE 13. P. 3627 -3639 20 91% 0
8 QIU, H , FANG, SM , (2014) A BKM'S CRITERION OF SMOOTH SOLUTION TO THE INCOMPRESSIBLE VISCOELASTIC FLOW.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 13. ISSUE 2. P. 823 -833 21 88% 1
9 BARANOVSKII, ES , ARTEMOV, MA , (2017) GLOBAL EXISTENCE RESULTS FOR OLDROYD FLUIDS WITH WALL SLIP.ACTA APPLICANDAE MATHEMATICAE. VOL. 147. ISSUE 1. P. 197 -210 19 86% 0
10 SHAO, SG , QIU, H , (2015) LOCAL WELL-POSEDNESS FOR THE IDEAL INCOMPRESSIBLE DENSITY-DEPENDENT VISCOELASTIC FLOW.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 38. ISSUE 6. P. 1081 -1088 21 81% 0

Classes with closest relation at Level 1


Rank Class id link
1 1661 JOURNAL OF NON-NEWTONIAN FLUID MECHANICS//VISCOELASTIC FLOW//EXTRUDATE SWELL
2 5435 COMPRESSIBLE NAVIER STOKES EQUATIONS//DENSITY DEPENDENT VISCOSITY//INCOMPRESSIBLE LIMIT
3 986 REGULARITY CRITERION//REGULARITY CRITERIA//NAVIER STOKES EQUATIONS
4 12431 NULL CONDITION//SEMILINEAR WAVE EQUATION//QUASILINEAR WAVE EQUATIONS
5 20585 MAXIMAL L P L Q REGULARITY//DEGENERATE BOUNDARY CONDITION//BABUSKAS PARADOX
6 7103 MULTI PARTICLE COLLISION DYNAMICS//FENE DUMBBELLS//DILUTE POLYMER SOLUTIONS
7 20111 STOCHASTIC FLOWS//ISOTROPIC BROWNIAN FLOW//REGULAR LAGRANGIAN FLOWS
8 22480 APPROXIMATE DECONVOLUTION//NS ALPHA//SCOTT VOGELIUS ELEMENTS
9 7606 THIRD GRADE FLUID//SECOND GRADE FLUID//GENERALIZED SECOND GRADE FLUID
10 17250 PRESSURE DEPENDENT VISCOSITY//IMPLICIT CONSTITUTIVE THEORY//IMPLICIT CONSTITUTIVE RELATIONS

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