Class information for:
Level 1: MEAN CURVATURE FLOW//SELF SHRINKER//CURVATURE FLOW

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
1416 2             VISCOSITY SOLUTIONS//HAMILTON JACOBI EQUATION//MEAN CURVATURE FLOW 8208
6127 1                   MEAN CURVATURE FLOW//SELF SHRINKER//CURVATURE FLOW 1555

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MEAN CURVATURE FLOW authKW 2144428 10% 71% 148
2 SELF SHRINKER authKW 412337 1% 88% 23
3 CURVATURE FLOW authKW 396317 2% 53% 37
4 CURVE SHORTENING FLOW authKW 388581 1% 91% 21
5 WILLMORE FLOW authKW 350309 1% 79% 22
6 CRYSTALLINE CURVATURE authKW 284994 1% 94% 15
7 PARAMETRIC FINITE ELEMENTS authKW 278897 1% 81% 17
8 TRANSLATING SOLITON authKW 248259 1% 88% 14
9 MEAN CURVATURE MOTION authKW 225256 1% 65% 17
10 VOLUME PRESERVING MEAN CURVATURE FLOW authKW 222930 1% 100% 11

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 34283 64% 0% 992
2 Mathematics, Applied 24763 50% 0% 777
3 Physics, Mathematical 916 7% 0% 115
4 Mechanics 78 4% 0% 55
5 Computer Science, Cybernetics 68 1% 0% 11
6 Computer Science, Interdisciplinary Applications 62 2% 0% 37
7 Computer Science, Artificial Intelligence 58 2% 0% 35
8 Computer Science, Software Engineering 44 2% 0% 27
9 Computer Science, Theory & Methods 4 1% 0% 18
10 Mathematics, Interdisciplinary Applications 2 1% 0% 12

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CRYSTAL GROWTH GRP 49732 1% 27% 9
2 DIFFERENTIALGEOMETRIE 41025 1% 23% 9
3 MATH PHYS NUMER ANAL OPTIMIZAT 40533 0% 100% 2
4 PL MATH HUBEI PROV 22796 0% 38% 3
5 ANAL MAT SCI ITS PLICAT 20266 0% 100% 1
6 ANGEW MATH MUNSTER 20266 0% 100% 1
7 ARBEITSBEREICH ANAL 20266 0% 100% 1
8 BIOMED ENG ELECT COMP ENG 20266 0% 100% 1
9 CEREMADE UMR CNRS 20266 0% 100% 1
10 CNRSSORBONNE PARIS CITEUMR 7598 20266 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INTERFACES AND FREE BOUNDARIES 197047 4% 17% 57
2 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 73686 5% 5% 79
3 COMMUNICATIONS IN ANALYSIS AND GEOMETRY 30660 2% 5% 31
4 JOURNAL OF DIFFERENTIAL GEOMETRY 24742 3% 3% 46
5 JOURNAL OF GEOMETRIC ANALYSIS 11545 2% 2% 24
6 ADVANCES IN DIFFERENTIAL EQUATIONS 11524 1% 4% 16
7 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 9939 2% 1% 36
8 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 6507 2% 1% 35
9 INDIANA UNIVERSITY MATHEMATICS JOURNAL 4862 2% 1% 24
10 JOURNAL OF DIFFERENTIAL EQUATIONS 4752 3% 1% 42

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MEAN CURVATURE FLOW 2144428 10% 71% 148 Search MEAN+CURVATURE+FLOW Search MEAN+CURVATURE+FLOW
2 SELF SHRINKER 412337 1% 88% 23 Search SELF+SHRINKER Search SELF+SHRINKER
3 CURVATURE FLOW 396317 2% 53% 37 Search CURVATURE+FLOW Search CURVATURE+FLOW
4 CURVE SHORTENING FLOW 388581 1% 91% 21 Search CURVE+SHORTENING+FLOW Search CURVE+SHORTENING+FLOW
5 WILLMORE FLOW 350309 1% 79% 22 Search WILLMORE+FLOW Search WILLMORE+FLOW
6 CRYSTALLINE CURVATURE 284994 1% 94% 15 Search CRYSTALLINE+CURVATURE Search CRYSTALLINE+CURVATURE
7 PARAMETRIC FINITE ELEMENTS 278897 1% 81% 17 Search PARAMETRIC+FINITE+ELEMENTS Search PARAMETRIC+FINITE+ELEMENTS
8 TRANSLATING SOLITON 248259 1% 88% 14 Search TRANSLATING+SOLITON Search TRANSLATING+SOLITON
9 MEAN CURVATURE MOTION 225256 1% 65% 17 Search MEAN+CURVATURE+MOTION Search MEAN+CURVATURE+MOTION
10 VOLUME PRESERVING MEAN CURVATURE FLOW 222930 1% 100% 11 Search VOLUME+PRESERVING+MEAN+CURVATURE+FLOW Search VOLUME+PRESERVING+MEAN+CURVATURE+FLOW

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 30958 CLOSEST POINT METHOD//EVOLVING SURFACES//SURFACE PARTIAL DIFFERENTIAL EQUATIONS
2 13287 RENORMALIZED FUNCTIONAL//DE GIORGI CONJECTURE//ALLEN CAHN EQUATION
3 15516 WILLMORE SURFACES//MOBIUS METRIC//WILLMORE FUNCTIONAL
4 27485 1 LAPLACIAN//RELATIVISTIC HEAT EQUATION//FLUX LIMITED DIFFUSION EQUATIONS
5 11391 MONGE AMPERE EQUATION//FULLY NONLINEAR EQUATIONS//HESSIAN EQUATIONS
6 4986 CAHN HILLIARD EQUATION//CAHN HILLIARD//THIN FILM EQUATION
7 19790 STEINER SYMMETRIZATION//POLYA SZEGO INEQUALITY//ISOPERIMETRIC INEQUALITY
8 3107 RICCI FLOW//RICCI SOLITON//KAHLER RICCI FLOW
9 22094 INFINITY LAPLACIAN//SUPREMAL FUNCTIONALS//TUG OF WAR GAMES
10 7928 SPACELIKE HYPERSURFACE//MEAN CURVATURE//GENERALIZED ROBERTSON WALKER SPACETIME

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