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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7899 1316 22.4 55%


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
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
291 2             MATHEMATICS//ANNALS OF GLOBAL ANALYSIS AND GEOMETRY//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 18882
7899 1                   MEAN CURVATURE FLOW//CURVATURE FLOW//SELF SHRINKER 1316

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 MEAN CURVATURE FLOW authKW 1969791 10% 66% 129
2 CURVATURE FLOW authKW 354569 2% 48% 32
3 SELF SHRINKER authKW 341688 1% 82% 18
4 CURVE SHORTENING FLOW authKW 304776 1% 77% 17
5 CRYSTALLINE CURVATURE authKW 303165 1% 93% 14
6 VOLUME PRESERVING MEAN CURVATURE FLOW authKW 255217 1% 100% 11
7 INVERSE MEAN CURVATURE FLOW authKW 230644 1% 76% 13
8 MEAN CURVATURE MOTION authKW 200770 1% 58% 15
9 TRANSLATING SOLITON authKW 200523 1% 79% 11
10 ANISOTROPIC MEAN CURVATURE FLOW authKW 185612 1% 100% 8

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 35275 70% 0% 921
2 Mathematics, Applied 19650 48% 0% 637
3 Physics, Mathematical 275 5% 0% 62
4 Computer Science, Artificial Intelligence 86 3% 0% 36
5 Computer Science, Cybernetics 54 1% 0% 9
6 Mechanics 45 3% 0% 41
7 Computer Science, Software Engineering 43 2% 0% 24
8 Computer Science, Interdisciplinary Applications 18 2% 0% 22
9 Computer Science, Theory & Methods 6 1% 0% 17
10 Imaging Science & Photographic Technology 1 0% 0% 4

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 DIFFERENTIALGEOMETRIE 59476 1% 26% 10
2 MATH PHYS NUMER ANAL OPTIMIZAT 46403 0% 100% 2
3 PL MATH HUBEI PROV 26098 0% 38% 3
4 ANAL MAT SCI ITS PLICAT 23202 0% 100% 1
5 ANALISE 23202 0% 100% 1
6 ANGEW MATH MUNSTER 23202 0% 100% 1
7 ARBEITSBEREICH ANAL 23202 0% 100% 1
8 BIOMED ENG ELECT COMP ENG 23202 0% 100% 1
9 CNRSSORBONNE PARIS CITEUMR 7598 23202 0% 100% 1
10 COMP CC IN2P3 23202 0% 100% 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 INTERFACES AND FREE BOUNDARIES 114153 3% 12% 40
2 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 93121 6% 5% 80
3 JOURNAL OF DIFFERENTIAL GEOMETRY 29933 4% 3% 47
4 COMMUNICATIONS IN ANALYSIS AND GEOMETRY 27317 2% 4% 27
5 JOURNAL OF GEOMETRIC ANALYSIS 8271 1% 2% 18
6 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 7095 2% 1% 28
7 INDIANA UNIVERSITY MATHEMATICS JOURNAL 6550 2% 1% 26
8 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 6402 2% 1% 32
9 ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE 5605 1% 2% 11
10 JOURNAL OF EVOLUTION EQUATIONS 5306 1% 2% 11

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 MEAN CURVATURE FLOW 1969791 10% 66% 129 Search MEAN+CURVATURE+FLOW Search MEAN+CURVATURE+FLOW
2 CURVATURE FLOW 354569 2% 48% 32 Search CURVATURE+FLOW Search CURVATURE+FLOW
3 SELF SHRINKER 341688 1% 82% 18 Search SELF+SHRINKER Search SELF+SHRINKER
4 CURVE SHORTENING FLOW 304776 1% 77% 17 Search CURVE+SHORTENING+FLOW Search CURVE+SHORTENING+FLOW
5 CRYSTALLINE CURVATURE 303165 1% 93% 14 Search CRYSTALLINE+CURVATURE Search CRYSTALLINE+CURVATURE
6 VOLUME PRESERVING MEAN CURVATURE FLOW 255217 1% 100% 11 Search VOLUME+PRESERVING+MEAN+CURVATURE+FLOW Search VOLUME+PRESERVING+MEAN+CURVATURE+FLOW
7 INVERSE MEAN CURVATURE FLOW 230644 1% 76% 13 Search INVERSE+MEAN+CURVATURE+FLOW Search INVERSE+MEAN+CURVATURE+FLOW
8 MEAN CURVATURE MOTION 200770 1% 58% 15 Search MEAN+CURVATURE+MOTION Search MEAN+CURVATURE+MOTION
9 TRANSLATING SOLITON 200523 1% 79% 11 Search TRANSLATING+SOLITON Search TRANSLATING+SOLITON
10 ANISOTROPIC MEAN CURVATURE FLOW 185612 1% 100% 8 Search ANISOTROPIC+MEAN+CURVATURE+FLOW Search ANISOTROPIC+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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 MCCOY, J , MOFARREH, F , WILLIAMS, G , (2014) FULLY NONLINEAR CURVATURE FLOW OF AXIALLY SYMMETRIC HYPERSURFACES WITH BOUNDARY CONDITIONS.ANNALI DI MATEMATICA PURA ED APPLICATA. VOL. 193. ISSUE 5. P. 1443 -1455 29 100% 0
2 KIM, L , TONEGAWA, Y , (2017) ON THE MEAN CURVATURE FLOW OF GRAIN BOUNDARIES.ANNALES DE L INSTITUT FOURIER. VOL. 67. ISSUE 1. P. 43 -142 25 93% 0
3 LEE, DS , KIM, JS , (2015) MEAN CURVATURE FLOW BY THE ALLEN-CAHN EQUATION.EUROPEAN JOURNAL OF APPLIED MATHEMATICS. VOL. 26. ISSUE . P. 535 -559 34 69% 0
4 TSAI, DH , WANG, XL , (2015) ON LENGTH-PRESERVING AND AREA-PRESERVING NONLOCAL FLOW OF CONVEX CLOSED PLANE CURVES.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. VOL. 54. ISSUE 4. P. 3603 -3622 23 100% 0
5 ANDREWS, B , MCCOY, J , ZHENG, Y , (2013) CONTRACTING CONVEX HYPERSURFACES BY CURVATURE.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. VOL. 47. ISSUE 3-4. P. 611-665 27 82% 8
6 ANDREWS, B , (2001) VOLUME-PRESERVING ANISOTROPIC MEAN CURVATURE FLOW.INDIANA UNIVERSITY MATHEMATICS JOURNAL. VOL. 50. ISSUE 2. P. 783-827 34 89% 32
7 COLDING, TH , MINICOZZI, WP , PEDERSEN, EK , (2015) MEAN CURVATURE FLOW.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 52. ISSUE 2. P. 297 -333 24 86% 2
8 GIGA, MH , GIGA, Y , (2013) ON THE ROLE OF KINETIC AND INTERFACIAL ANISOTROPY IN THE CRYSTAL GROWTH THEORY.INTERFACES AND FREE BOUNDARIES. VOL. 15. ISSUE 4. P. 429 -450 29 74% 2
9 COLDING, TH , MINICOZZI, WP , (2012) GENERIC MEAN CURVATURE FLOW I; GENERIC SINGULARITIES.ANNALS OF MATHEMATICS. VOL. 175. ISSUE 2. P. 755-833 23 72% 75
10 ETO, T , GIGA, Y , ISHII, K , (2012) AN AREA-MINIMIZING SCHEME FOR ANISOTROPIC MEAN-CURVATURE FLOW.ADVANCES IN DIFFERENTIAL EQUATIONS. VOL. 17. ISSUE 11-12. P. 1031-1084 24 89% 1

Classes with closest relation at Level 1


Rank Class id link
1 19052 WILLMORE FUNCTIONAL//ELASTIC CURVES//WILLMORE SURFACES
2 14755 RENORMALIZED FUNCTIONAL//EQUAL AREA CONDITION//ALLEN CAHN EQUATION
3 17113 MONGE AMPERE EQUATION//HESSIAN EQUATION//BERNSTEIN PROPERTY
4 13801 INFINITY LAPLACIAN//VISCOSITY SOLUTIONS//FULLY NONLINEAR EQUATIONS
5 7270 RICCI FLOW//RICCI SOLITON//GRADIENT ESTIMATE
6 30584 CLOSEST POINT METHOD//EVOLVING SURFACES//EVOLVING SURFACE FINITE ELEMENT METHOD
7 20218 POLYA SZEGO INEQUALITY//MANIFOLDS WITH DENSITY//STEINER SYMMETRIZATION
8 14055 SOLID STATE DEWETTING//MATH DESIGN MAT//SURFACE ENERGY ANISOTROPY
9 33278 Q VALUED FUNCTIONS//FINITE SUBSET SPACE//MULTIPLE VALUED FUNCTIONS
10 6982 CAHN HILLIARD EQUATION//CAHN HILLIARD//EXPONENTIAL ATTRACTOR

Go to start page