Class information for:
Level 2: BLOW UP//GLOBAL EXISTENCE//MATHEMATICS, APPLIED

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
810 12005 21.8 48%


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
810 2             BLOW UP//GLOBAL EXISTENCE//MATHEMATICS, APPLIED 12005
2307 1                   BLOW UP//BLOW UP RATE//NONLOCAL SOURCE 2287
7290 1                   QUASILINEAR HYPERBOLIC SYSTEM//LINEAR DEGENERACY//QUASILINEAR HYPERBOLIC SYSTEM OF CONSERVATION LAWS 1385
7592 1                   VERY SINGULAR SOLUTION//FAST DIFFUSION//POROUS MEDIUM EQUATION 1349
7764 1                   EVANS FUNCTION//VISCOUS CONSERVATION LAWS//RAREFACTION WAVE 1331
8973 1                   KELLER SEGEL MODEL//LOGISTIC SOURCE//CHEMOTAXIS 1200
13205 1                   DELTA SHOCK WAVE//TRANSONIC SHOCK//DELTA SHOCKS 854
15104 1                   THIN FILM EQUATION//QUANTUM DRIFT DIFFUSION MODEL//QUANTUM HYDRODYNAMICS 731
15686 1                   THERMISTOR PROBLEM//SEMICONDUCTOR DESIGN//CAPACITY SOLUTIONS 698
15951 1                   DISCONTINUOUS FLUX//ENTROPY SOLUTION//CONSERVATION LAWS 682
16906 1                   FAST AUTOMATIC DIFFERENTIATION//IMMISCIBLE COMPRESSIBLE//WATER HYDROGEN 628
17300 1                   EULER POISSON EQUATIONS//EULER POISSON SYSTEM//QUASI NEUTRAL LIMIT 607
29279 1                   FLUX LIMITED DIFFUSION EQUATIONS//RELATIVISTIC HEAT EQUATION//TELEGRAPH REACTION DIFFUSION EQUATION 189
37186 1                   CONSERVATION LAW WITH NONLINEAR DIVERGENT VISCOSITY//CONVERGENCE IN FORM//INNOVATION WAVES 64

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 BLOW UP authKW 623441 6% 37% 664
2 GLOBAL EXISTENCE authKW 364537 4% 32% 448
3 MATHEMATICS, APPLIED WoSSC 328514 65% 2% 7804
4 CONSERVATION LAWS authKW 238169 4% 21% 445
5 ENTROPY SOLUTION authKW 228095 1% 57% 158
6 JOURNAL OF DIFFERENTIAL EQUATIONS journal 227114 7% 11% 803
7 BLOW UP RATE authKW 202673 1% 63% 126
8 RIEMANN PROBLEM authKW 190200 2% 39% 192
9 DELTA SHOCK WAVE authKW 175370 1% 100% 69
10 DEGENERATE PARABOLIC EQUATION authKW 173463 1% 63% 109

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 328514 65% 2% 7804
2 Mathematics 171909 52% 1% 6197
3 Physics, Mathematical 6543 7% 0% 858
4 Mechanics 2363 6% 0% 704
5 Mathematics, Interdisciplinary Applications 447 2% 0% 224
6 Computer Science, Interdisciplinary Applications 207 2% 0% 216
7 Mathematical & Computational Biology 176 1% 0% 123
8 Engineering, General 35 1% 0% 116
9 Physics, Fluids & Plasmas 7 1% 0% 92
10 Computer Science, Software Engineering 1 1% 0% 70

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 111564 36% 1% 4347
2 INSSET 37929 0% 43% 35
3 UMR 5640 28383 0% 20% 57
4 MATH SCI 23930 8% 1% 903
5 UMR 7641 23144 0% 16% 56
6 SEZ MATEMAT INGN 21467 0% 65% 13
7 NONLINEAR ANAL 21081 0% 20% 42
8 DIPARTIMENTO MATEMAT G CASTELNUOVO 20495 0% 15% 54
9 PL MATH 18877 5% 1% 551
10 UMR 6620 17983 0% 13% 53

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 227114 7% 11% 803
2 JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS 121668 1% 36% 133
3 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 101293 3% 10% 384
4 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 98580 3% 12% 315
5 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 97659 6% 6% 683
6 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 53300 2% 9% 226
7 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 49047 5% 3% 642
8 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 46058 1% 10% 177
9 QUARTERLY OF APPLIED MATHEMATICS 44674 1% 10% 169
10 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 39972 2% 7% 239

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 623441 6% 37% 664 Search BLOW+UP Search BLOW+UP
2 GLOBAL EXISTENCE 364537 4% 32% 448 Search GLOBAL+EXISTENCE Search GLOBAL+EXISTENCE
3 CONSERVATION LAWS 238169 4% 21% 445 Search CONSERVATION+LAWS Search CONSERVATION+LAWS
4 ENTROPY SOLUTION 228095 1% 57% 158 Search ENTROPY+SOLUTION Search ENTROPY+SOLUTION
5 BLOW UP RATE 202673 1% 63% 126 Search BLOW+UP+RATE Search BLOW+UP+RATE
6 RIEMANN PROBLEM 190200 2% 39% 192 Search RIEMANN+PROBLEM Search RIEMANN+PROBLEM
7 DELTA SHOCK WAVE 175370 1% 100% 69 Search DELTA+SHOCK+WAVE Search DELTA+SHOCK+WAVE
8 DEGENERATE PARABOLIC EQUATION 173463 1% 63% 109 Search DEGENERATE+PARABOLIC+EQUATION Search DEGENERATE+PARABOLIC+EQUATION
9 KELLER SEGEL MODEL 143283 1% 92% 61 Search KELLER+SEGEL+MODEL Search KELLER+SEGEL+MODEL
10 LOGISTIC SOURCE 134704 0% 100% 53 Search LOGISTIC+SOURCE Search LOGISTIC+SOURCE

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 134 78% 54
2 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
3 LEFLOCH, PG , MISHRA, S , (2014) NUMERICAL METHODS WITH CONTROLLED DISSIPATION FOR SMALL-SCALE DEPENDENT SHOCKS.ACTA NUMERICA. VOL. 23. ISSUE . P. 743 -816 104 64% 3
4 HU, B , (2011) BLOW UP THEORIES FOR SEMILINEAR PARABOLIC EQUATIONS.BLOW UP THEORIES FOR SEMILINEAR PARABOLIC EQUATIONS. VOL. 2018. ISSUE . P. 1 -+ 73 90% 17
5 WANG, YL , (2016) A QUASILINEAR ATTRACTION REPULSION CHEMOTAXIS SYSTEM OF PARABOLIC-ELLIPTIC TYPE WITH LOGISTIC SOURCE.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 441. ISSUE 1. P. 259 -292 43 98% 2
6 WANG, Y , TAN, Z , (2015) STABILITY OF STEADY STATES OF THE COMPRESSIBLE EULER-POISSON SYSTEM IN R-3.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 422. ISSUE 2. P. 1058 -1071 51 96% 0
7 ANDREIANOV, B , HVISTENDAHL, K , RISEBRO, NH , (2011) A THEORY OF L (1)-DISSIPATIVE SOLVERS FOR SCALAR CONSERVATION LAWS WITH DISCONTINUOUS FLUX.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 201. ISSUE 1. P. 27 -86 49 96% 32
8 LIN, K , MU, CL , GAO, Y , (2016) BOUNDEDNESS AND BLOW UP IN THE HIGHER-DIMENSIONAL ATTRACTION-REPULSION CHEMOTAXIS SYSTEM WITH NONLINEAR DIFFUSION.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 261. ISSUE 8. P. 4524 -4572 47 98% 0
9 WANG, YL , XIANG, ZY , (2016) GLOBAL EXISTENCE AND BOUNDEDNESS IN A KELLER-SEGEL-STOKES SYSTEM INVOLVING A TENSOR-VALUED SENSITIVITY WITH SATURATION: THE 3D CASE.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 261. ISSUE 9. P. 4944 -4973 41 98% 1
10 SHI, SJ , LIU, ZR , JIN, HY , (2017) BOUNDEDNESS AND LARGE TIME BEHAVIOR OF AN ATTRACTION-REPULSION CHEMOTAXIS MODEL WITH LOGISTIC SOURCE.KINETIC AND RELATED MODELS. VOL. 10. ISSUE 3. P. 855 -878 42 100% 0

Classes with closest relation at Level 2


Rank Class id link
1 1877 CROSS DIFFUSION//TRAVELING WAVE FRONTS//SPREADING SPEED
2 704 NAVIER STOKES EQUATIONS//GLOBAL ATTRACTOR//CAHN HILLIARD EQUATION
3 3487 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM
4 1867 BOLTZMANN EQUATION//RAREFIED GAS//RAREFIED GAS DYNAMICS
5 1160 STRICHARTZ ESTIMATES//GLOBAL EXISTENCE//BLOW UP
6 176 MATHEMATICS//VARIATIONAL METHODS//MATHEMATICS, APPLIED
7 762 JOURNAL OF COMPUTATIONAL PHYSICS//SMOOTHED PARTICLE HYDRODYNAMICS//SHALLOW WATER EQUATIONS
8 2260 ACTIVE PARTICLES//BRANCHING PROCESS//TUMOR GROWTH
9 2568 HOMOGENIZATION//TWO SCALE CONVERGENCE//PERFORATED DOMAINS
10 3236 MAGNETOGASDYNAMICS//NON IDEAL GAS//ACCELERATION WAVES

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