Class information for:
Level 1: QUADRATURE DOMAIN//HELE SHAW FLOW//MOTHER BODY

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
15 4 METALLURGY & METALLURGICAL ENGINEERING//MATERIALS SCIENCE, MULTIDISCIPLINARY//MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING 827627
465 3       SOLIDIFICATION//DIRECTIONAL SOLIDIFICATION//JOURNAL OF CRYSTAL GROWTH 25928
2485 2             VISCOUS FINGERING//HELE SHAW FLOW//HELE SHAW CELL 4175
20035 1                   QUADRATURE DOMAIN//HELE SHAW FLOW//MOTHER BODY 500

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 QUADRATURE DOMAIN authKW 877461 5% 61% 23
2 HELE SHAW FLOW authKW 426490 6% 23% 30
3 MOTHER BODY authKW 252130 1% 100% 4
4 SCHWARZ POTENTIAL authKW 201703 1% 80% 4
5 ELLIPTIC GROWTH authKW 189098 1% 100% 3
6 POLUBARINOVA GALIN EQUATION authKW 189098 1% 100% 3
7 SCHWARZ FUNCTION authKW 171580 1% 39% 7
8 LOWNER KUFAREV EQUATION authKW 168084 1% 67% 4
9 HELE SHAW authKW 165012 2% 22% 12
10 ALPHA CONVEX FUNCTION authKW 126065 0% 100% 2

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 8781 52% 0% 262
2 Mathematics 4779 43% 0% 213
3 Mechanics 1100 17% 0% 85
4 Physics, Mathematical 701 11% 0% 55
5 Physics, Fluids & Plasmas 554 9% 0% 43
6 Multidisciplinary Sciences 128 3% 0% 15
7 Mathematics, Interdisciplinary Applications 29 2% 0% 11
8 Engineering, General 13 2% 0% 9
9 Thermodynamics 1 1% 0% 5
10 Computer Science, Interdisciplinary Applications 1 1% 0% 5

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 AUSTRALIA COUNCIL EXCELLENCE MATH STAT 63033 0% 100% 1
2 CENT PONTS CHAUSSEES CNRS UMR 113 63033 0% 100% 1
3 CNRS UPR 4501 63033 0% 100% 1
4 GEN PROBLEMS CONTROL 63033 0% 100% 1
5 KUNGLIGA TEK HOGSKOLAN 63033 0% 100% 1
6 MATH 2 335 63033 0% 100% 1
7 PL MATH MECH NASU 63033 0% 100% 1
8 SEDIMENTOL CNRS GEOSCI UPR 4661 63033 0% 100% 1
9 SGN UPR RNG 63033 0% 100% 1
10 ST PERERBURG 63033 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 EUROPEAN JOURNAL OF APPLIED MATHEMATICS 84236 6% 4% 30
2 DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI 33140 5% 2% 24
3 IMA JOURNAL OF APPLIED MATHEMATICS 8354 3% 1% 14
4 QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS 7761 2% 1% 12
5 INTERFACES AND FREE BOUNDARIES 6782 1% 2% 6
6 COMPLEX ANALYSIS AND OPERATOR THEORY 4569 1% 1% 7
7 POTENTIAL ANALYSIS 3878 2% 1% 8
8 ANALYSIS AND MATHEMATICAL PHYSICS 3148 0% 3% 2
9 ARKIV FOR MATEMATIK 2990 1% 1% 6
10 JOURNAL D ANALYSE MATHEMATIQUE 2566 1% 1% 7

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 QUADRATURE DOMAIN 877461 5% 61% 23 Search QUADRATURE+DOMAIN Search QUADRATURE+DOMAIN
2 HELE SHAW FLOW 426490 6% 23% 30 Search HELE+SHAW+FLOW Search HELE+SHAW+FLOW
3 MOTHER BODY 252130 1% 100% 4 Search MOTHER+BODY Search MOTHER+BODY
4 SCHWARZ POTENTIAL 201703 1% 80% 4 Search SCHWARZ+POTENTIAL Search SCHWARZ+POTENTIAL
5 ELLIPTIC GROWTH 189098 1% 100% 3 Search ELLIPTIC+GROWTH Search ELLIPTIC+GROWTH
6 POLUBARINOVA GALIN EQUATION 189098 1% 100% 3 Search POLUBARINOVA+GALIN+EQUATION Search POLUBARINOVA+GALIN+EQUATION
7 SCHWARZ FUNCTION 171580 1% 39% 7 Search SCHWARZ+FUNCTION Search SCHWARZ+FUNCTION
8 LOWNER KUFAREV EQUATION 168084 1% 67% 4 Search LOWNER+KUFAREV+EQUATION Search LOWNER+KUFAREV+EQUATION
9 HELE SHAW 165012 2% 22% 12 Search HELE+SHAW Search HELE+SHAW
10 ALPHA CONVEX FUNCTION 126065 0% 100% 2 Search ALPHA+CONVEX+FUNCTION Search ALPHA+CONVEX+FUNCTION

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 1



rank cluster_id2 link
1 8398 VISCOUS FINGERING//HELE SHAW CELL//SAFFMAN TAYLOR INSTABILITY
2 26289 FAST AUTOMATIC DIFFERENTIATION//STEFAN PROBLEM//METAL SOLIDIFICATION
3 27089 MAXIMAL L P L Q REGULARITY//TWO PHASE NAVIER STOKES EQUATIONS//COMPRESSIBLE VISCOUS BAROTROPIC FLUIDS
4 13647 OVERDETERMINED PROBLEMS//OVERDETERMINED BOUNDARY VALUE PROBLEMS//CONSTANT RANK THEOREM
5 24902 2 VARIABLE WEIGHTED SHIFTS//SUBNORMAL PAIRS//HYPONORMAL
6 20493 NUMERICAL CONFORMAL MAPPING//GENERALIZED NEUMANN KERNEL//SCHWARZ CHRISTOFFEL TRANSFORMATION
7 16738 VORTEX SHEET//MUSKAT PROBLEM//CURVATURE SINGULARITY
8 32006 PWB SOLUTION//EDPNL HIST MATH//NON REGULAR DOMAINS
9 34994 HUMAN BODY THERMAL STABILITY//MED CLIMATOL//AIR RESISTANCE PARAMETERS
10 34477 CONFLUENT HEUN EQUATION//ANTIQUANTIZATION//INTEGRABLE POTENTIALS

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