Class information for:
Level 3: MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
244 46988 21.7 46%


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
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


Rank Class id link
1 579 BOLTZMANN EQUATION//JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS//MAGNETOGASDYNAMICS
2 94 MATHEMATICS//MATHEMATICS, APPLIED//MATH
3 549 MATHEMATICS//STURM LIOUVILLE OPERATOR//ANNALES HENRI POINCARE
4 145 MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS
5 355 PERMANENCE//GLOBAL STABILITY//HOPF BIFURCATION
6 460 POSITIVE SOLUTION//MATHEMATICS, APPLIED//DIFFERENCE EQUATIONS
7 437 ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//ELECTRICAL IMPEDANCE TOMOGRAPHY//INVERSE PROBLEMS
8 299 PHYSICS, MATHEMATICAL//JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS//BACKLUND TRANSFORMATION
9 383 STATISTICS & PROBABILITY//ANNALS OF PROBABILITY//STOCHASTIC PROCESSES AND THEIR APPLICATIONS
10 473 GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS//PHYSICS, FLUIDS & PLASMAS//JOURNAL OF FLUID MECHANICS

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