Class information for:
Level 2: VISCOSITY SOLUTIONS//HAMILTON JACOBI EQUATION//MEAN 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
6236 1                   VISCOSITY SOLUTIONS//HAMILTON JACOBI EQUATION//VISCOSITY SOLUTION 1537
9105 1                   OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM 1217
11391 1                   MONGE AMPERE EQUATION//FULLY NONLINEAR EQUATIONS//HESSIAN EQUATIONS 1012
14774 1                   WEAK KAM THEORY//ERGODIC PROBLEM//HAMILTON JACOBI EQUATION 779
18761 1                   FAST SWEEPING METHOD//EIKONAL EQUATION//HAMILTON JACOBI EQUATION 561
22094 1                   INFINITY LAPLACIAN//SUPREMAL FUNCTIONALS//TUG OF WAR GAMES 417
24500 1                   FULLY NONLINEAR PDES//VANISHING MOMENT METHOD//ALEKSANDROV SOLUTION 333
27438 1                   MEAN FIELD GAMES//MEAN FIELD TYPE CONTROL//DYNAMIC BLOCKING PROBLEM 249
27485 1                   1 LAPLACIAN//RELATIVISTIC HEAT EQUATION//FLUX LIMITED DIFFUSION EQUATIONS 248
30958 1                   CLOSEST POINT METHOD//EVOLVING SURFACES//SURFACE PARTIAL DIFFERENTIAL EQUATIONS 175
34463 1                   BODY OF MINIMAL RESISTANCE//NEWTONS PROBLEM//PROBLEMS OF MINIMAL RESISTANCE 125

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 VISCOSITY SOLUTIONS authKW 995260 6% 55% 474
2 HAMILTON JACOBI EQUATION authKW 736517 5% 50% 387
3 MEAN CURVATURE FLOW authKW 406020 2% 71% 148
4 VISCOSITY SOLUTION authKW 384652 3% 45% 221
5 MEAN FIELD GAMES authKW 343240 1% 84% 107
6 OPTIMAL TRANSPORT authKW 334735 2% 64% 136
7 MONGE AMPERE EQUATION authKW 245510 2% 50% 127
8 OPTIMAL TRANSPORTATION authKW 174036 1% 60% 75
9 INFINITY LAPLACIAN authKW 168458 1% 73% 60
10 MATHEMATICS, APPLIED WoSSC 154329 54% 1% 4446

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 154329 54% 1% 4446
2 Mathematics 138758 56% 1% 4603
3 Automation & Control Systems 6661 6% 0% 518
4 Physics, Mathematical 1906 5% 0% 404
5 Operations Research & Management Science 549 2% 0% 191
6 Mechanics 309 3% 0% 264
7 Statistics & Probability 298 2% 0% 166
8 Computer Science, Software Engineering 276 2% 0% 151
9 Mathematics, Interdisciplinary Applications 266 2% 0% 146
10 Computer Science, Interdisciplinary Applications 150 2% 0% 151

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CEREMADE 67007 2% 12% 152
2 MATH 63217 33% 1% 2735
3 DIPARTIMENTO MATEMAT 42432 5% 3% 399
4 CSMSE 31085 0% 90% 9
5 PROJET COMMANDS 28257 0% 82% 9
6 UMR 7534 28034 1% 14% 52
7 DIPARTIMENTO MATEMAT PURA PLICATA 21999 1% 6% 93
8 MATH ITS PLICAT 21469 1% 11% 51
9 RECH VIABIL 20892 0% 78% 7
10 RECH VIABIL JEUX CONTROLE 17091 0% 64% 7

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 148693 3% 15% 258
2 INTERFACES AND FREE BOUNDARIES 77138 1% 25% 82
3 APPLIED MATHEMATICS AND OPTIMIZATION 49203 1% 11% 121
4 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 47457 3% 6% 216
5 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 40188 2% 7% 161
6 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 39269 1% 11% 91
7 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 28508 1% 9% 79
8 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 25620 2% 5% 133
9 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 25210 1% 6% 104
10 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 23674 2% 4% 148

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 VISCOSITY SOLUTIONS 995260 6% 55% 474 Search VISCOSITY+SOLUTIONS Search VISCOSITY+SOLUTIONS
2 HAMILTON JACOBI EQUATION 736517 5% 50% 387 Search HAMILTON+JACOBI+EQUATION Search HAMILTON+JACOBI+EQUATION
3 MEAN CURVATURE FLOW 406020 2% 71% 148 Search MEAN+CURVATURE+FLOW Search MEAN+CURVATURE+FLOW
4 VISCOSITY SOLUTION 384652 3% 45% 221 Search VISCOSITY+SOLUTION Search VISCOSITY+SOLUTION
5 MEAN FIELD GAMES 343240 1% 84% 107 Search MEAN+FIELD+GAMES Search MEAN+FIELD+GAMES
6 OPTIMAL TRANSPORT 334735 2% 64% 136 Search OPTIMAL+TRANSPORT Search OPTIMAL+TRANSPORT
7 MONGE AMPERE EQUATION 245510 2% 50% 127 Search MONGE+AMPERE+EQUATION Search MONGE+AMPERE+EQUATION
8 OPTIMAL TRANSPORTATION 174036 1% 60% 75 Search OPTIMAL+TRANSPORTATION Search OPTIMAL+TRANSPORTATION
9 INFINITY LAPLACIAN 168458 1% 73% 60 Search INFINITY+LAPLACIAN Search INFINITY+LAPLACIAN
10 EIKONAL EQUATION 141257 1% 39% 95 Search EIKONAL+EQUATION Search EIKONAL+EQUATION

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 2


rank cluster_id2 link
1 2237 CAHN HILLIARD EQUATION//FREE DISCONTINUITY PROBLEMS//YOUNG MEASURES
2 2773 CONTROL SETS//OPTIMAL CONTROL//OCCUPATIONAL MEASURES
3 1402 HOMOGENIZATION//TWO SCALE CONVERGENCE//MATHEMATICS
4 368 MATHEMATICS//ANNALS OF GLOBAL ANALYSIS AND GEOMETRY//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
5 3703 FARTHEST POINT//CHEBYSHEV SET//GENERIC PROPERTY
6 272 VARIATIONAL METHODS//MATHEMATICS//MOUNTAIN PASS THEOREM
7 3776 BRACHISTOCHRONE//PLATEAUS PROBLEM//SYSTOLIC INEQUALITY
8 1974 BLOW UP//BLOW UP RATE//NONLOCAL SOURCE
9 653 OPTION PRICING//BACKWARD STOCHASTIC DIFFERENTIAL EQUATION//REAL OPTIONS
10 1719 CONSERVATION LAWS//RIEMANN PROBLEM//DELTA SHOCK WAVE

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