Class information for:
Level 2: NAVIER STOKES EQUATIONS//REGULARITY CRITERION//JOURNAL OF MATHEMATICAL FLUID MECHANICS

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
72 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 87385
1319 2             NAVIER STOKES EQUATIONS//REGULARITY CRITERION//JOURNAL OF MATHEMATICAL FLUID MECHANICS 8796
851 1                   REGULARITY CRITERION//REGULARITY CRITERIA//GLOBAL REGULARITY 3049
4567 1                   COMPRESSIBLE NAVIER STOKES EQUATIONS//DENSITY DEPENDENT VISCOSITY//INCOMPRESSIBLE LIMIT 1792
15455 1                   SCI COMP PL MATH//PRIMITIVE EQUATIONS//PRANDTL EQUATIONS 739
16738 1                   VORTEX SHEET//MUSKAT PROBLEM//CURVATURE SINGULARITY 663
17642 1                   PRESSURE DEPENDENT VISCOSITY//SHEAR DEPENDENT VISCOSITY//IMPLICIT CONSTITUTIVE THEORY 617
18707 1                   FLUID RIGID BODY INTERACTION//GENERAL OUTFLOW CONDITION//HASEGAWA WAKATANI EQUATIONS 563
23035 1                   APPROXIMATE DECONVOLUTION//NS ALPHA//DECONVOLUTION MODELS 382
25021 1                   KINETIC POLYMER MODELS//POLYMERIC FLOW MODELS//OLDROYD MODEL 317
26292 1                   NEMATIC LIQUID CRYSTAL FLOW//LIQUID CRYSTAL FLOW//ERICKSEN LESLIE SYSTEM 280
27089 1                   MAXIMAL L P L Q REGULARITY//TWO PHASE NAVIER STOKES EQUATIONS//COMPRESSIBLE VISCOUS BAROTROPIC FLUIDS 258
33623 1                   NON FREDHOLM OPERATORS//DIV CURL GRAD OPERATORS//SOLVABILITY CONDITIONS 136

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NAVIER STOKES EQUATIONS authKW 844104 10% 26% 916
2 REGULARITY CRITERION authKW 603174 2% 95% 177
3 JOURNAL OF MATHEMATICAL FLUID MECHANICS journal 554767 3% 58% 267
4 STRONG SOLUTION authKW 416164 3% 48% 244
5 COMPRESSIBLE NAVIER STOKES EQUATIONS authKW 349503 2% 57% 172
6 REGULARITY CRITERIA authKW 337181 1% 96% 98
7 GLOBAL REGULARITY authKW 323836 1% 73% 124
8 BLOW UP CRITERION authKW 308691 1% 86% 100
9 WEAK SOLUTION authKW 273489 4% 23% 334
10 MATHEMATICS, APPLIED WoSSC 197302 59% 1% 5192

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 197302 59% 1% 5192
2 Mathematics 111714 49% 1% 4296
3 Mechanics 11102 13% 0% 1157
4 Physics, Mathematical 9063 10% 0% 839
5 Physics, Fluids & Plasmas 3980 6% 0% 502
6 Mathematics, Interdisciplinary Applications 2783 4% 0% 395
7 Engineering, General 61 1% 0% 105
8 Computer Science, Interdisciplinary Applications 36 1% 0% 109
9 Multidisciplinary Sciences 22 1% 0% 49
10 Physics, Multidisciplinary 1 2% 0% 182

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SCI COMP PL MATH 175649 1% 63% 78
2 MATH 113669 43% 1% 3762
3 HUA LOO KENG MATH 57913 1% 31% 52
4 PL MATH SCI COMP 37682 0% 29% 36
5 MATH SCI 34229 11% 1% 927
6 MATH CRYPTOL 33801 0% 33% 29
7 FUJIAN PROV MATH MODELING SCI COMP 30252 0% 65% 13
8 IMATH 22272 0% 23% 27
9 PL MATH U DINI 21933 0% 88% 7
10 HUBEI MATH PHYS 21601 0% 46% 13

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF MATHEMATICAL FLUID MECHANICS 554767 3% 58% 267
2 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 121482 3% 11% 299
3 JOURNAL OF DIFFERENTIAL EQUATIONS 96800 5% 6% 449
4 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 69628 3% 7% 279
5 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 64632 3% 7% 262
6 COMMUNICATIONS IN MATHEMATICAL SCIENCES 39495 1% 12% 93
7 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 38421 2% 7% 163
8 NONLINEARITY 34743 2% 5% 181
9 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 31148 4% 3% 328
10 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 29689 1% 8% 111

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 NAVIER STOKES EQUATIONS 844104 10% 26% 916 Search NAVIER+STOKES+EQUATIONS Search NAVIER+STOKES+EQUATIONS
2 REGULARITY CRITERION 603174 2% 95% 177 Search REGULARITY+CRITERION Search REGULARITY+CRITERION
3 STRONG SOLUTION 416164 3% 48% 244 Search STRONG+SOLUTION Search STRONG+SOLUTION
4 COMPRESSIBLE NAVIER STOKES EQUATIONS 349503 2% 57% 172 Search COMPRESSIBLE+NAVIER+STOKES+EQUATIONS Search COMPRESSIBLE+NAVIER+STOKES+EQUATIONS
5 REGULARITY CRITERIA 337181 1% 96% 98 Search REGULARITY+CRITERIA Search REGULARITY+CRITERIA
6 GLOBAL REGULARITY 323836 1% 73% 124 Search GLOBAL+REGULARITY Search GLOBAL+REGULARITY
7 BLOW UP CRITERION 308691 1% 86% 100 Search BLOW+UP+CRITERION Search BLOW+UP+CRITERION
8 WEAK SOLUTION 273489 4% 23% 334 Search WEAK+SOLUTION Search WEAK+SOLUTION
9 MHD EQUATIONS 194135 1% 66% 82 Search MHD+EQUATIONS Search MHD+EQUATIONS
10 DENSITY DEPENDENT VISCOSITY 184674 1% 90% 57 Search DENSITY+DEPENDENT+VISCOSITY Search DENSITY+DEPENDENT+VISCOSITY

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.

Classes with closest relation at Level 2


rank cluster_id2 link
1 1719 CONSERVATION LAWS//RIEMANN PROBLEM//DELTA SHOCK WAVE
2 1222 GLOBAL ATTRACTOR//PULLBACK ATTRACTOR//RANDOM ATTRACTOR
3 2237 CAHN HILLIARD EQUATION//FREE DISCONTINUITY PROBLEMS//YOUNG MEASURES
4 1712 CARLEMAN ESTIMATES//NULL CONTROLLABILITY//GENERAL DECAY
5 1974 BLOW UP//BLOW UP RATE//NONLOCAL SOURCE
6 1290 PHYSICS, FLUIDS & PLASMAS//JOURNAL OF THE ATMOSPHERIC SCIENCES//JOURNAL OF FLUID MECHANICS
7 3948 BURGERS TURBULENCE//RANDOM INITIAL VELOCITY//GABINETE REITORIA
8 543 DISCONTINUOUS GALERKIN METHOD//SIAM JOURNAL ON NUMERICAL ANALYSIS//DOMAIN DECOMPOSITION
9 1866 BOLTZMANN EQUATION//RAREFIED GAS//DSMC
10 1402 HOMOGENIZATION//TWO SCALE CONVERGENCE//MATHEMATICS

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