Class information for:
Level 1: BLOW UP//BLOW UP RATE//NONLOCAL SOURCE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2307 2287 18.9 55%


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

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 1806908 22% 27% 493
2 BLOW UP RATE authKW 933995 5% 59% 118
3 NONLOCAL SOURCE authKW 680846 2% 100% 51
4 BLOW UP SET authKW 575414 2% 86% 50
5 NONLINEAR BOUNDARY FLUX authKW 533997 2% 100% 40
6 GLOBAL EXISTENCE authKW 445486 9% 15% 216
7 SEMILINEAR HEAT EQUATION authKW 439497 2% 65% 51
8 NON SIMULTANEOUS BLOW UP authKW 373798 1% 100% 28
9 SIMULTANEOUS BLOW UP authKW 347098 1% 100% 26
10 LOCALIZED SOURCE authKW 235486 1% 84% 21

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 79565 73% 0% 1672
2 Mathematics 56412 67% 0% 1537
3 Physics, Mathematical 45 2% 0% 45
4 Mechanics 1 1% 0% 32
5 Mathematics, Interdisciplinary Applications 0 1% 0% 12
6 Automation & Control Systems 0 0% 0% 10
7 Computer Science, Software Engineering 0 1% 0% 12
8 Computer Science, Interdisciplinary Applications 0 1% 0% 16
9 Multidisciplinary Sciences -0 0% 0% 5
10 Statistics & Probability -1 0% 0% 9

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 INSSET 78765 1% 27% 22
2 FUNCT THEORY 48055 0% 60% 6
3 MATEMAT MATEMAT LICADA 30036 0% 75% 3
4 MATH 27086 41% 0% 931
5 UMR CNRS 7641 21091 0% 23% 7
6 UFR SFA 20215 1% 13% 12
7 MATH PHYS GEOL 18679 0% 20% 7
8 CNRS UMR LAGA 7539 17799 0% 67% 2
9 AREA PROBABILIDAD ESTADIST 17161 0% 43% 3
10 EQUAT DERIVEES PARTIELLES LR03ES04 15015 0% 38% 3

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 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 54471 10% 2% 222
2 JOURNAL OF DIFFERENTIAL EQUATIONS 30727 6% 2% 129
3 BOUNDARY VALUE PROBLEMS 29768 3% 4% 58
4 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 29197 9% 1% 215
5 APPLICABLE ANALYSIS 20066 2% 3% 47
6 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 17560 3% 2% 69
7 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 15089 2% 2% 54
8 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 11334 2% 2% 47
9 DYNAMIC SYSTEMS AND APPLICATIONS 11183 1% 4% 23
10 APPLIED MATHEMATICS LETTERS 9634 3% 1% 62

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 1806908 22% 27% 493 Search BLOW+UP Search BLOW+UP
2 BLOW UP RATE 933995 5% 59% 118 Search BLOW+UP+RATE Search BLOW+UP+RATE
3 NONLOCAL SOURCE 680846 2% 100% 51 Search NONLOCAL+SOURCE Search NONLOCAL+SOURCE
4 BLOW UP SET 575414 2% 86% 50 Search BLOW+UP+SET Search BLOW+UP+SET
5 NONLINEAR BOUNDARY FLUX 533997 2% 100% 40 Search NONLINEAR+BOUNDARY+FLUX Search NONLINEAR+BOUNDARY+FLUX
6 GLOBAL EXISTENCE 445486 9% 15% 216 Search GLOBAL+EXISTENCE Search GLOBAL+EXISTENCE
7 SEMILINEAR HEAT EQUATION 439497 2% 65% 51 Search SEMILINEAR+HEAT+EQUATION Search SEMILINEAR+HEAT+EQUATION
8 NON SIMULTANEOUS BLOW UP 373798 1% 100% 28 Search NON+SIMULTANEOUS+BLOW+UP Search NON+SIMULTANEOUS+BLOW+UP
9 SIMULTANEOUS BLOW UP 347098 1% 100% 26 Search SIMULTANEOUS+BLOW+UP Search SIMULTANEOUS+BLOW+UP
10 LOCALIZED SOURCE 235486 1% 84% 21 Search LOCALIZED+SOURCE Search LOCALIZED+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 HU, B , (2011) BLOW UP THEORIES FOR SEMILINEAR PARABOLIC EQUATIONS.BLOW UP THEORIES FOR SEMILINEAR PARABOLIC EQUATIONS. VOL. 2018. ISSUE . P. 1 -+ 72 89% 17
2 DENG, K , LEVINE, HA , (2000) THE ROLE OF CRITICAL EXPONENTS IN BLOW-UP THEOREMS: THE SEQUEL.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 243. ISSUE 1. P. 85-126 43 86% 310
3 MI, YS , MU, CL , (2012) A DEGENERATE PARABOLIC SYSTEM WITH LOCALIZED SOURCES AND NONLOCAL BOUNDARY CONDITION.FRONTIERS OF MATHEMATICS IN CHINA. VOL. 7. ISSUE 1. P. 97 -116 39 95% 1
4 NGUYEN, VT , (2017) NUMERICAL ANALYSIS OF THE RESCALING METHOD FOR PARABOLIC PROBLEMS WITH BLOW-UP IN FINITE TIME.PHYSICA D-NONLINEAR PHENOMENA. VOL. 339. ISSUE . P. 49 -65 34 92% 0
5 DE PABLO, A , (2009) CRITICAL COEFFICIENTS IN BLOW-UP PROBLEMS.DYNAMIC SYSTEMS AND APPLICATIONS. VOL. 18. ISSUE 1. P. 81 -102 45 83% 0
6 CHEN, BT , MI, YS , MU, CL , (2011) A QUASILINEAR PARABOLIC SYSTEM WITH NONLOCAL BOUNDARY CONDITION.BOUNDARY VALUE PROBLEMS. VOL. . ISSUE . P. - 37 95% 0
7 LI, LL , SUN, HR , ZHANG, QG , (2017) EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTIONS FOR A SEMILINEAR REACTION-DIFFUSION SYSTEM.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 445. ISSUE 1. P. 97 -124 30 100% 0
8 ISHIGE, K , FUJISHIMA, Y , (2014) BLOW-UP SET FOR TYPE I BLOWING UP SOLUTIONS FOR A SEMILINEAR HEAT EQUATION.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE. VOL. 31. ISSUE 2. P. 231 -247 30 100% 1
9 MI, YS , MU, CL , CHEN, BT , (2011) A DEGENERATE PARABOLIC SYSTEM WITH NONLOCAL BOUNDARY CONDITION.APPLICABLE ANALYSIS. VOL. 90. ISSUE 2. P. 305 -316 34 94% 1
10 ZHENG, P , MU, CL , AHMED, I , (2015) CAUCHY PROBLEM FOR THE NON-NEWTONIAN POLYTROPIC FILTRATION EQUATION WITH A LOCALIZED REACTION.APPLICABLE ANALYSIS. VOL. 94. ISSUE 1. P. 153 -168 30 94% 0

Classes with closest relation at Level 1


Rank Class id link
1 7592 VERY SINGULAR SOLUTION//FAST DIFFUSION//POROUS MEDIUM EQUATION
2 26599 THE EXISTENCE AND UNIQUENESS OF SOLUTIONS TO INTEGRAL VOLTERRA EQUATIONS//NONLINEAR VOLTERRA INTEGRAL EQUATIONS//GENERALIZED OSGOOD CONDITION
3 9763 METHOD OF MOVING PLANES IN INTEGRAL FORMS//WEIGHTED HARDY LITTLEWOOD SOBOLEV INEQUALITY//LIOUVILLE THEOREM
4 20760 DISSIPATIVE WAVE EQUATION//DAMPED WAVE EQUATION//KIRCHHOFF EQUATION
5 8797 CROSS DIFFUSION//COEXISTENCE STATES//CROSS DIFFUSION SYSTEM
6 29279 FLUX LIMITED DIFFUSION EQUATIONS//RELATIVISTIC HEAT EQUATION//TELEGRAPH REACTION DIFFUSION EQUATION
7 18001 BOUSSINESQ SYSTEM//DISSIPATIVE NONLINEAR EVOLUTION EQUATION//KORTEWEG DE VRIES EQUATION
8 31268 CRITICAL INCOME//DIFFERENTIAL ENTHROPY//ENGN ENGN DESIGN
9 16906 FAST AUTOMATIC DIFFERENTIATION//IMMISCIBLE COMPRESSIBLE//WATER HYDROGEN
10 25451 SPREADING VANISHING DICHOTOMY//GLOBAL FAST SOLUTION//SPREADING AND VANISHING

Go to start page