Class information for:
Level 2: CAHN HILLIARD EQUATION//MEAN CURVATURE FLOW//LOJASIEWICZ SIMON INEQUALITY

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
2160 4518 25.7 55%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)


ID, lev.
above		 Publications Label for level above
89 75682 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS//NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS//JOURNAL OF DIFFERENTIAL EQUATIONS

Classes in level below (level 1)


ID, lev. below Publications Label for level below
5050 1614 CAHN HILLIARD EQUATION//LOJASIEWICZ SIMON INEQUALITY//CAHN HILLIARD
7844 1244 MEAN CURVATURE FLOW//CRYSTALLINE CURVATURE//WILLMORE FLOW
15668 629 GRAIN BOUNDARY WETTING//LIQUID GROOVING//MAT INTER E
16067 608 MATH DESIGN MAT//SOLID STATE DEWETTING//SURFACE ENERGY ANISOTROPY
19852 423 ADSORBED LAYER INSTABILITY//ASARO TILLER GRINFELD INSTABILITY//STRETCHABLE SUBSTRATE

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 CAHN HILLIARD EQUATION Author keyword 184 62% 4% 189
2 MEAN CURVATURE FLOW Author keyword 129 66% 3% 119
3 LOJASIEWICZ SIMON INEQUALITY Author keyword 51 83% 1% 29
4 CAHN HILLIARD Author keyword 49 63% 1% 50
5 THIN FILM EQUATION Author keyword 37 67% 1% 33
6 MICROSCOPIC MOVEMENTS Author keyword 34 93% 0% 13
7 PENROSE FIFE MODEL Author keyword 33 100% 0% 13
8 PHASE FIELD SYSTEMS Author keyword 31 92% 0% 12
9 CRYSTALLINE CURVATURE Author keyword 29 88% 0% 14
10 MOTION BY MEAN CURVATURE Author keyword 28 68% 1% 25

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 CAHN HILLIARD EQUATION 184 62% 4% 189 Search CAHN+HILLIARD+EQUATION Search CAHN+HILLIARD+EQUATION
2 MEAN CURVATURE FLOW 129 66% 3% 119 Search MEAN+CURVATURE+FLOW Search MEAN+CURVATURE+FLOW
3 LOJASIEWICZ SIMON INEQUALITY 51 83% 1% 29 Search LOJASIEWICZ+SIMON+INEQUALITY Search LOJASIEWICZ+SIMON+INEQUALITY
4 CAHN HILLIARD 49 63% 1% 50 Search CAHN+HILLIARD Search CAHN+HILLIARD
5 THIN FILM EQUATION 37 67% 1% 33 Search THIN+FILM+EQUATION Search THIN+FILM+EQUATION
6 MICROSCOPIC MOVEMENTS 34 93% 0% 13 Search MICROSCOPIC+MOVEMENTS Search MICROSCOPIC+MOVEMENTS
7 PENROSE FIFE MODEL 33 100% 0% 13 Search PENROSE+FIFE+MODEL Search PENROSE+FIFE+MODEL
8 PHASE FIELD SYSTEMS 31 92% 0% 12 Search PHASE+FIELD+SYSTEMS Search PHASE+FIELD+SYSTEMS
9 CRYSTALLINE CURVATURE 29 88% 0% 14 Search CRYSTALLINE+CURVATURE Search CRYSTALLINE+CURVATURE
10 MOTION BY MEAN CURVATURE 28 68% 1% 25 Search MOTION+BY+MEAN+CURVATURE Search MOTION+BY+MEAN+CURVATURE

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 CAHN HILLIARD EQUATION 125 42% 5% 226
2 LOGARITHMIC FREE ENERGY 77 96% 1% 24
3 WEIGHTED CURVATURE 72 91% 1% 30
4 MEAN CURVATURE 70 27% 5% 226
5 SHORTENING FLOW 65 93% 1% 25
6 MEAN CURVATURE FLOW 62 48% 2% 96
7 PLANE CURVES 54 31% 3% 147
8 MICROFORCE BALANCE 52 87% 1% 26
9 LUBRICATION APPROXIMATION 51 67% 1% 46
10 DEGENERATE PARABOLIC EQUATION 50 53% 1% 66

Journals


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 INTERFACES AND FREE BOUNDARIES 20 25% 2% 71

Reviews


Title Publ. year Cit. Active references % act. ref.
to same field
Solid-State Dewetting of Thin Films 2012 113 87 53%
Numerical Methods for Solving the Cahn-Hilliard Equation and Its Applicability to Related Energy-Based Models 2015 2 48 67%
Phase-Field Models for Multi-Component Fluid Flows 2012 48 83 54%
A review of wetting versus adsorption, complexions, and related phenomena: the rosetta stone of wetting 2013 40 141 26%
Diffuse-interface methods in fluid mechanics 1998 675 48 17%
Wetting and prewetting on ceramic surfaces 2008 44 70 36%
Liquid-like interface complexion: From activated sintering to grain boundary diagrams 2008 24 54 50%
Surface roughening of heteroepitaxial thin films 1999 158 35 37%
MEAN-CURVATURE AND WEIGHTED MEAN-CURVATURE .2. 1992 159 10 90%
Developing Interfacial Phase Diagrams for Applications in Activated Sintering and Beyond: Current Status and Future Directions 2012 10 122 43%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 MATH DESIGN MAT 20 100% 0.2% 9
2 DIPARTIMENTO MATEMAT F CASORATI 14 23% 1.2% 53
3 UMR CNRS 7348 10 63% 0.2% 10
4 UMR CNRS SP2MI 7348 9 83% 0.1% 5
5 MAT INTER E 9 36% 0.4% 20
6 DIPARTIMENTO MATEMAT F BRIO I 8 15% 1.1% 49
7 AA BAIKOV MET MAT 7 57% 0.2% 8
8 THEORET COMPUTAT STUDIES 6 80% 0.1% 4
9 UMR 6086SP2MI 6 71% 0.1% 5
10 INFORMAT ENVIRONM DESIGN INTEGRAT 6 100% 0.1% 4

Related classes at same level (level 2)


Rank Relatedness score Related classes
1 0.0000018584 P HARMONIC MAPS//GINZBURG LANDAU FUNCTIONAL//GINZBURG LANDAU EQUATIONS
2 0.0000018403 OPTIMAL TRANSPORT//MONGE AMPERE EQUATION//OPTIMAL TRANSPORTATION
3 0.0000016735 VISCOUS FINGERING//HEAT BALANCE INTEGRAL METHOD//STEFAN PROBLEM
4 0.0000015460 REGULARITY CRITERION//REGULARITY CRITERIA//GLOBAL ATTRACTOR
5 0.0000010690 TWO SCALE CONVERGENCE//FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES
6 0.0000010189 CRITICAL SOBOLEV EXPONENT//P LAPLACIAN//NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
7 0.0000009135 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS//GEOMETRIA TOPOL
8 0.0000008230 TEXTURES AND MICROSTRUCTURES//SECONDARY RECRYSTALLIZATION//RECRYSTALLIZATION
9 0.0000008071 DIFFUSION BARRIER//ELECTROMIGRATION//CU METALLIZATION
10 0.0000008035 SOLIDIFICATION//SEMI SOLID//UNDERCOOLING