Class information for: |
Basic class information |
Class id | #P | Avg. number of references |
Database coverage of references |
---|---|---|---|
244 | 46988 | 21.7 | 46% |
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 |
244 | 3 | MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP | 46988 |
704 | 2 | NAVIER STOKES EQUATIONS//GLOBAL ATTRACTOR//CAHN HILLIARD EQUATION | 12952 |
810 | 2 | BLOW UP//GLOBAL EXISTENCE//MATHEMATICS, APPLIED | 12005 |
1160 | 2 | STRICHARTZ ESTIMATES//GLOBAL EXISTENCE//BLOW UP | 9464 |
2139 | 2 | DISTRIBUTED PARAMETER SYSTEMS//CARLEMAN ESTIMATES//NULL CONTROLLABILITY | 5047 |
2434 | 2 | HAMILTON JACOBI EQUATION//MEAN FIELD GAMES//VISCOSITY SOLUTIONS | 4110 |
3169 | 2 | OPTIMAL CONTROL//STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM | 2169 |
4006 | 2 | POTENTIAL TYPE OPERATORS//QUASINORMAL FORM//ANISOTROPIC SINGULAR PERTURBATIONS | 684 |
4124 | 2 | P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR | 557 |
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 | MATHEMATICS, APPLIED | WoSSC | 1009970 | 58% | 6% | 27150 |
2 | MATHEMATICS | WoSSC | 570186 | 48% | 4% | 22393 |
3 | BLOW UP | authKW | 507734 | 3% | 66% | 1187 |
4 | GLOBAL EXISTENCE | authKW | 477218 | 2% | 73% | 1015 |
5 | JOURNAL OF DIFFERENTIAL EQUATIONS | journal | 393950 | 4% | 29% | 2096 |
6 | MATH | address | 391041 | 34% | 4% | 16134 |
7 | GLOBAL ATTRACTOR | authKW | 272546 | 1% | 66% | 634 |
8 | NAVIER STOKES EQUATIONS | authKW | 269554 | 3% | 35% | 1197 |
9 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | journal | 219880 | 4% | 17% | 2032 |
10 | SIAM JOURNAL ON CONTROL AND OPTIMIZATION | journal | 185838 | 2% | 28% | 1025 |
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, Applied | 1009970 | 58% | 6% | 27150 |
2 | Mathematics | 570186 | 48% | 4% | 22393 |
3 | Automation & Control Systems | 49640 | 7% | 3% | 3319 |
4 | Physics, Mathematical | 35174 | 8% | 2% | 3875 |
5 | Mechanics | 9063 | 6% | 1% | 2733 |
6 | Mathematics, Interdisciplinary Applications | 4250 | 3% | 1% | 1235 |
7 | Operations Research & Management Science | 3051 | 2% | 1% | 1081 |
8 | Computer Science, Cybernetics | 1207 | 1% | 1% | 263 |
9 | Physics, Fluids & Plasmas | 1121 | 2% | 0% | 826 |
10 | Computer Science, Interdisciplinary Applications | 670 | 2% | 0% | 798 |
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 | MATH | 391041 | 34% | 4% | 16134 |
2 | MATH SCI | 72186 | 7% | 4% | 3118 |
3 | JACQUES LOUIS LIONS | 44024 | 1% | 21% | 326 |
4 | UMR 7598 | 41430 | 0% | 30% | 217 |
5 | SCI COMP PL MATH | 40560 | 0% | 73% | 86 |
6 | MATEMAT | 38650 | 3% | 5% | 1359 |
7 | PL MATH | 38484 | 3% | 4% | 1573 |
8 | DIPARTIMENTO MATEMAT | 37173 | 2% | 7% | 907 |
9 | MATH STAT | 35751 | 4% | 3% | 2043 |
10 | ECUAC DIFERENCIALES ANAL NUMER | 34555 | 0% | 50% | 108 |
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 | JOURNAL OF DIFFERENTIAL EQUATIONS | 393950 | 4% | 29% | 2096 |
2 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 219880 | 4% | 17% | 2032 |
3 | SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 185838 | 2% | 28% | 1025 |
4 | COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 159531 | 2% | 32% | 774 |
5 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 138922 | 2% | 24% | 892 |
6 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 138443 | 2% | 25% | 847 |
7 | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 135788 | 2% | 29% | 733 |
8 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 128160 | 4% | 10% | 2059 |
9 | MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 127193 | 2% | 23% | 844 |
10 | JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 116714 | 1% | 70% | 258 |
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 | BLOW UP | 507734 | 3% | 66% | 1187 | Search BLOW+UP | Search BLOW+UP |
2 | GLOBAL EXISTENCE | 477218 | 2% | 73% | 1015 | Search GLOBAL+EXISTENCE | Search GLOBAL+EXISTENCE |
3 | GLOBAL ATTRACTOR | 272546 | 1% | 66% | 634 | Search GLOBAL+ATTRACTOR | Search GLOBAL+ATTRACTOR |
4 | NAVIER STOKES EQUATIONS | 269554 | 3% | 35% | 1197 | Search NAVIER+STOKES+EQUATIONS | Search NAVIER+STOKES+EQUATIONS |
5 | GLOBAL SOLUTION | 161297 | 1% | 60% | 417 | Search GLOBAL+SOLUTION | Search GLOBAL+SOLUTION |
6 | WAVE EQUATION | 135400 | 1% | 37% | 569 | Search WAVE+EQUATION | Search WAVE+EQUATION |
7 | BOUNDARY CONTROL | 132568 | 1% | 65% | 313 | Search BOUNDARY+CONTROL | Search BOUNDARY+CONTROL |
8 | HAMILTON JACOBI EQUATION | 126311 | 1% | 51% | 385 | Search HAMILTON+JACOBI+EQUATION | Search HAMILTON+JACOBI+EQUATION |
9 | WEAK SOLUTION | 123388 | 1% | 37% | 514 | Search WEAK+SOLUTION | Search WEAK+SOLUTION |
10 | GLOBAL WELL POSEDNESS | 120893 | 0% | 89% | 209 | Search GLOBAL+WELL+POSEDNESS | Search GLOBAL+WELL+POSEDNESS |
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 | BELLOMO, N , BELLOUQUID, A , TAO, Y , WINKLER, M , (2015) TOWARD A MATHEMATICAL THEORY OF KELLER-SEGEL MODELS OF PATTERN FORMATION IN BIOLOGICAL TISSUES.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. VOL. 25. ISSUE 9. P. 1663 -1763 | 136 | 79% | 54 |
2 | CHERFILS, L , MIRANVILLE, A , ZELIK, S , (2011) THE CAHN-HILLIARD EQUATION WITH LOGARITHMIC POTENTIALS.MILAN JOURNAL OF MATHEMATICS. VOL. 79. ISSUE 2. P. 561 -596 | 140 | 89% | 24 |
3 | KOMECH, A , (2016) ATTRACTORS OF HAMILTON NONLINEAR PDES.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 36. ISSUE 11. P. 6201 -6256 | 93 | 91% | 0 |
4 | CHAE, D , CONSTANTIN, P , WU, JH , (2012) DISSIPATIVE MODELS GENERALIZING THE 2D NAVIER-STOKES AND SURFACE QUASI-GEOSTROPHIC EQUATIONS.INDIANA UNIVERSITY MATHEMATICS JOURNAL. VOL. 61. ISSUE 5. P. 1997-2018 | 80 | 98% | 6 |
5 | CHAE, D , CONSTANTIN, P , WU, JH , (2011) INVISCID MODELS GENERALIZING THE TWO-DIMENSIONAL EULER AND THE SURFACE QUASI-GEOSTROPHIC EQUATIONS.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 202. ISSUE 1. P. 35-62 | 73 | 97% | 33 |
6 | CONSTANTIN, P , TARFULEA, A , VICOL, V , (2015) LONG TIME DYNAMICS OF FORCED CRITICAL SQG.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 335. ISSUE 1. P. 93 -141 | 70 | 92% | 6 |
7 | LEFLOCH, PG , MISHRA, S , (2014) NUMERICAL METHODS WITH CONTROLLED DISSIPATION FOR SMALL-SCALE DEPENDENT SHOCKS.ACTA NUMERICA. VOL. 23. ISSUE . P. 743 -816 | 107 | 66% | 3 |
8 | MASCIA, C , (2015) TWENTY-EIGHT YEARS WITH "HYPERBOLIC CONSERVATION LAWS WITH RELAXATION".ACTA MATHEMATICA SCIENTIA. VOL. 35. ISSUE 4. P. 807 -831 | 76 | 93% | 0 |
9 | HU, B , (2011) BLOW UP THEORIES FOR SEMILINEAR PARABOLIC EQUATIONS.BLOW UP THEORIES FOR SEMILINEAR PARABOLIC EQUATIONS. VOL. 2018. ISSUE . P. 1 -+ | 76 | 94% | 17 |
10 | CANNARSA, P , MARTINEZ, P , VANCOSTENOBLE, J , (2016) GLOBAL CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC OPERATORS WITH APPLICATIONS INTRODUCTION.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 239. ISSUE 1133. P. 1 -+ | 78 | 85% | 0 |
Classes with closest relation at Level 3 |