Class information for:
Level 1: VORTEX SHEET//MUSKAT PROBLEM//CURVATURE SINGULARITY

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
16738 1                   VORTEX SHEET//MUSKAT PROBLEM//CURVATURE SINGULARITY 663

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 VORTEX SHEET authKW 715076 6% 41% 37
2 MUSKAT PROBLEM authKW 380275 2% 67% 12
3 CURVATURE SINGULARITY authKW 190137 1% 67% 6
4 INHOMOGENEOUS MUSKAT PROBLEM authKW 142606 0% 100% 3
5 WATER WAVES authKW 129197 6% 7% 38
6 CONVEX INTEGRATION authKW 116999 1% 31% 8
7 INCOMPRESSIBLE EULER authKW 106953 0% 75% 3
8 ONSAGER CONJECTURE authKW 106953 0% 75% 3
9 WEIGHTED HOLDER SPACES authKW 100655 1% 35% 6
10 3 D AXISYMMETRIC EULER EQUATIONS authKW 95071 0% 100% 2

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 11004 51% 0% 338
2 Mathematics 6552 43% 0% 287
3 Physics, Mathematical 2392 17% 0% 114
4 Mechanics 1357 16% 0% 109
5 Physics, Fluids & Plasmas 1069 10% 0% 68
6 Computer Science, Interdisciplinary Applications 148 5% 0% 31
7 Mathematics, Interdisciplinary Applications 65 3% 0% 18
8 Physics, Multidisciplinary 12 4% 0% 25
9 Engineering, Aerospace 8 1% 0% 5
10 Engineering, General 5 1% 0% 8

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ANAL DYNAM MODELLIERUNG 84487 2% 15% 12
2 IADM 58500 1% 31% 4
3 ARTS SCI TECHNOL UNIV LEBANON AUL 47535 0% 100% 1
4 CNRS LAN URA 0740 47535 0% 100% 1
5 ENGN CCSE 47535 0% 100% 1
6 JOINT UNIT EDF RDECOLE PONTS 47535 0% 100% 1
7 MATEMAT LICADA ESTADIST INV OPERAT 47535 0% 100% 1
8 MATH 77 47535 0% 100% 1
9 UC3MICMAT CIENCIAS MATEMAT 47535 0% 100% 1
10 UNITE MIXTE RECH 6242 47535 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 26123 5% 2% 30
2 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 16245 5% 1% 30
3 COMMUNICATIONS IN MATHEMATICAL PHYSICS 6974 5% 0% 35
4 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 6233 3% 1% 18
5 NONLINEARITY 6227 3% 1% 21
6 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 6051 3% 1% 22
7 JOURNAL OF DIFFERENTIAL EQUATIONS 3968 4% 0% 25
8 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 3717 2% 1% 10
9 JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS 3109 1% 1% 5
10 COMMUNICATIONS IN MATHEMATICAL SCIENCES 2969 1% 1% 7

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 VORTEX SHEET 715076 6% 41% 37 Search VORTEX+SHEET Search VORTEX+SHEET
2 MUSKAT PROBLEM 380275 2% 67% 12 Search MUSKAT+PROBLEM Search MUSKAT+PROBLEM
3 CURVATURE SINGULARITY 190137 1% 67% 6 Search CURVATURE+SINGULARITY Search CURVATURE+SINGULARITY
4 INHOMOGENEOUS MUSKAT PROBLEM 142606 0% 100% 3 Search INHOMOGENEOUS+MUSKAT+PROBLEM Search INHOMOGENEOUS+MUSKAT+PROBLEM
5 WATER WAVES 129197 6% 7% 38 Search WATER+WAVES Search WATER+WAVES
6 CONVEX INTEGRATION 116999 1% 31% 8 Search CONVEX+INTEGRATION Search CONVEX+INTEGRATION
7 INCOMPRESSIBLE EULER 106953 0% 75% 3 Search INCOMPRESSIBLE+EULER Search INCOMPRESSIBLE+EULER
8 ONSAGER CONJECTURE 106953 0% 75% 3 Search ONSAGER+CONJECTURE Search ONSAGER+CONJECTURE
9 WEIGHTED HOLDER SPACES 100655 1% 35% 6 Search WEIGHTED+HOLDER+SPACES Search WEIGHTED+HOLDER+SPACES
10 3 D AXISYMMETRIC EULER EQUATIONS 95071 0% 100% 2 Search 3+D+AXISYMMETRIC+EULER+EQUATIONS Search 3+D+AXISYMMETRIC+EULER+EQUATIONS

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 27089 MAXIMAL L P L Q REGULARITY//TWO PHASE NAVIER STOKES EQUATIONS//COMPRESSIBLE VISCOUS BAROTROPIC FLUIDS
2 17673 NONLINEAR GEOMETRIC OPTICS//IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS//PLASMA VACUUM INTERFACE
3 14477 VORTEX METHOD//VORTEX IN CELL METHOD//FLUID IMPULSE
4 7315 WATER WAVES//CONSTANT VORTICITY//TAINAN HYDRAUL
5 18031 BOUSSINESQ SYSTEM//KORTEWEG DE VRIES EQUATION//DISSIPATIVE NONLINEAR EVOLUTION EQUATION
6 851 REGULARITY CRITERION//REGULARITY CRITERIA//GLOBAL REGULARITY
7 20035 QUADRATURE DOMAIN//HELE SHAW FLOW//MOTHER BODY
8 20895 STOCHASTIC FLOWS//ISOTROPIC BROWNIAN FLOW//REGULAR LAGRANGIAN FLOWS
9 25733 SOBOLEV TRACE EMBEDDING//TWO PHASE CONDUCTORS//REARRANGEMENTS OF A FUNCTION
10 23035 APPROXIMATE DECONVOLUTION//NS ALPHA//DECONVOLUTION MODELS

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