Class information for:
Level 1: SMOLUCHOWSKIS COAGULATION EQUATION//COAGULATION EQUATION//SUBSTOCHASTIC SEMIGROUPS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10333 1072 23.0 54%


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
12 4 POLYMER SCIENCE//MATERIALS SCIENCE, PAPER & WOOD//CHEMISTRY, PHYSICAL 1084170
240 3       PHYSICS, MATHEMATICAL//JOURNAL OF STATISTICAL PHYSICS//PHYSICAL REVIEW E 47494
2193 2             DIFFUSION LIMITED AGGREGATION//FRACTAL AGGREGATES//COLLOIDAL AGGREGATION 4894
10333 1                   SMOLUCHOWSKIS COAGULATION EQUATION//COAGULATION EQUATION//SUBSTOCHASTIC SEMIGROUPS 1072

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 SMOLUCHOWSKIS COAGULATION EQUATION authKW 348912 1% 88% 14
2 COAGULATION EQUATION authKW 317017 1% 70% 16
3 SUBSTOCHASTIC SEMIGROUPS authKW 240672 1% 65% 13
4 COAGULATION FRAGMENTATION EQUATIONS authKW 209735 1% 82% 9
5 KINETIC BEHAVIOR authKW 203424 2% 36% 20
6 BECKER DORING EQUATIONS authKW 177465 1% 69% 9
7 MARCUS LUSHNIKOV PROCESS authKW 170897 1% 100% 6
8 MULTIPLE FRAGMENTATION authKW 170897 1% 100% 6
9 SEMILINEAR CAUCHY PROBLEM authKW 155071 1% 78% 7
10 SMOLUCHOWSKI COAGULATION EQUATION authKW 140217 1% 62% 8

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 Physics, Mathematical 15132 33% 0% 357
2 Mathematics, Applied 4183 25% 0% 273
3 Physics, Multidisciplinary 1569 19% 0% 201
4 Physics, Fluids & Plasmas 1074 8% 0% 88
5 Mathematics 678 12% 0% 131
6 Statistics & Probability 297 5% 0% 49
7 Physics, Atomic, Molecular & Chemical 85 5% 0% 52
8 Mathematical & Computational Biology 44 1% 0% 16
9 Meteorology & Atmospheric Sciences 23 2% 0% 22
10 Chemistry, Physical 18 6% 0% 67

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 ICT CELL 56966 0% 100% 2
2 UMR 5640 39250 2% 7% 20
3 UMR MATH IND PHYS 5640 37976 0% 67% 2
4 DARIUSZ WRZOSEK PL MATH MECH 28483 0% 100% 1
5 FIS PHYS 28483 0% 100% 1
6 FIS QUIM FIS 28483 0% 100% 1
7 GENIL PROGRAM 28483 0% 100% 1
8 GONDA GOLD MITED 28483 0% 100% 1
9 INRIA SOPHIA ANTIPOLISTEAM COFFEE 28483 0% 100% 1
10 J A DIEUDONNE UMR 6621 28483 0% 100% 1

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 PHYSICS A-MATHEMATICAL AND GENERAL 19075 10% 1% 103
2 JOURNAL OF STATISTICAL PHYSICS 14315 6% 1% 63
3 PHYSICAL REVIEW E 3872 8% 0% 86
4 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 3455 2% 1% 21
5 KINETIC AND RELATED MODELS 2837 1% 2% 6
6 COMMUNICATIONS IN THEORETICAL PHYSICS 2581 3% 0% 27
7 PHYSICA D-NONLINEAR PHENOMENA 2547 2% 0% 24
8 JOURNAL OF NONLINEAR SCIENCE 2202 1% 1% 7
9 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 1985 1% 1% 11
10 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 1952 1% 0% 16

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 SMOLUCHOWSKIS COAGULATION EQUATION 348912 1% 88% 14 Search SMOLUCHOWSKIS+COAGULATION+EQUATION Search SMOLUCHOWSKIS+COAGULATION+EQUATION
2 COAGULATION EQUATION 317017 1% 70% 16 Search COAGULATION+EQUATION Search COAGULATION+EQUATION
3 SUBSTOCHASTIC SEMIGROUPS 240672 1% 65% 13 Search SUBSTOCHASTIC+SEMIGROUPS Search SUBSTOCHASTIC+SEMIGROUPS
4 COAGULATION FRAGMENTATION EQUATIONS 209735 1% 82% 9 Search COAGULATION+FRAGMENTATION+EQUATIONS Search COAGULATION+FRAGMENTATION+EQUATIONS
5 KINETIC BEHAVIOR 203424 2% 36% 20 Search KINETIC+BEHAVIOR Search KINETIC+BEHAVIOR
6 BECKER DORING EQUATIONS 177465 1% 69% 9 Search BECKER+DORING+EQUATIONS Search BECKER+DORING+EQUATIONS
7 MARCUS LUSHNIKOV PROCESS 170897 1% 100% 6 Search MARCUS+LUSHNIKOV+PROCESS Search MARCUS+LUSHNIKOV+PROCESS
8 MULTIPLE FRAGMENTATION 170897 1% 100% 6 Search MULTIPLE+FRAGMENTATION Search MULTIPLE+FRAGMENTATION
9 SEMILINEAR CAUCHY PROBLEM 155071 1% 78% 7 Search SEMILINEAR+CAUCHY+PROBLEM Search SEMILINEAR+CAUCHY+PROBLEM
10 SMOLUCHOWSKI COAGULATION EQUATION 140217 1% 62% 8 Search SMOLUCHOWSKI+COAGULATION+EQUATION Search SMOLUCHOWSKI+COAGULATION+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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 LAURENCOT, P , (2015) WEAK COMPACTNESS TECHNIQUES AND COAGULATION EQUATIONS.EVOLUTIONARY EQUATIONS WITH APPLICATIONS IN NATURAL SCIENCES. VOL. 2126. ISSUE . P. 199 -253 55 96% 0
2 LEYVRAZ, F , (2003) SCALING THEORY AND EXACTLY SOLVED MODELS IN THE KINETICS OF IRREVERSIBLE AGGREGATION.PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS. VOL. 383. ISSUE 2-3. P. 95 -212 64 78% 189
3 WATTIS, JAD , (2006) AN INTRODUCTION TO MATHEMATICAL MODELS OF COAGULATION-FRAGMENTATION PROCESSES: A DISCRETE DETERMINISTIC MEAN-FIELD APPROACH.PHYSICA D-NONLINEAR PHENOMENA. VOL. 222. ISSUE 1-2. P. 1-20 48 77% 54
4 WANG, HF , LIN, ZQ , GAO, Y , (2008) KINETICS OF AGGREGATION GROWTH WITH COMPETITION BETWEEN CATALYZED BIRTH AND CATALYZED DEATH.CHINESE PHYSICS B. VOL. 17. ISSUE 4. P. 1490 -1500 32 97% 5
5 LAURENCOT, P , VAN ROESSEL, H , (2015) ABSENCE OF GELATION AND SELF-SIMILAR BEHAVIOR FOR A COAGULATION-FRAGMENTATION EQUATION.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 47. ISSUE 3. P. 2355 -2374 28 93% 0
6 HAN, D , (2003) A NECESSARY AND SUFFICIENT CONDITION FOR GELATION OF A REVERSIBLE MARKOV PROCESS OF POLYMERIZATION.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. VOL. 36. ISSUE 4. P. 893 -909 36 95% 3
7 KE, JH , LIN, ZQ , CHEN, XS , (2008) AN ANALYTICAL SOLUTION OF COAGULATION PROCESSES WITH COLLISION-INDUCED FRAGMENTATION.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 41. ISSUE 28. P. - 33 83% 1
8 GOUDON, T , LAGOUTIERE, F , TINE, LM , (2013) SIMULATIONS OF THE LIFSHITZ-SLYOZOV EQUATIONS: THE ROLE OF COAGULATION TERMS IN THE ASYMPTOTIC BEHAVIOR.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. VOL. 23. ISSUE 7. P. 1177-1215 26 87% 3
9 FILBET, F , LAURENCOT, P , (2004) NUMERICAL SIMULATION OF THE SMOLUCHOWSKI COAGULATION EQUATION.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 25. ISSUE 6. P. 2004-2028 27 90% 53
10 ESCOBEDO, M , MISCHLER, S , PERTHAME, B , (2002) GELATION IN COAGULATION AND FRAGMENTATION MODELS.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 231. ISSUE 1. P. 157 -188 26 100% 44

Classes with closest relation at Level 1


Rank Class id link
1 27452 RANDOM STOPPING//BILINEAR EXPONENTIAL DISTRIBUTION//BIMODAL EXPONENTIAL DISTRIBUTION
2 11784 DIFFUSION LIMITED REACTION//CLARKSON STAT PHYS//AB 0
3 7558 COLLOIDAL AGGREGATION//QUIM FIS MATEMAT//FISICOQUIM COLOIDES
4 4902 BROWNIAN COAGULATION//POPULATION BALANCE//FLAME SYNTHESIS
5 21954 GROWTH FRAGMENTATION EQUATIONS//STEADY SIZE DISTRIBUTIONS//CELL DIVISION EQUATION
6 16950 TRANSPORT OPERATOR//FREDHOLM PERTURBATION//ANOMALOUS DIFFUSION LIMIT
7 36769 PT ELECTRODE BZ REACTION SYSTEM//CHEMICAL REACTION DIFFUSION HEAT CONDUCTION COUPLINGS//ENTROPY PRODUCTION OF FLUCTUATIONS
8 10737 MACROMOLECULAR THEORY AND SIMULATIONS//ALLYL POLYMERIZATION//BRANCHING DENSITY DISTRIBUTION
9 8803 MICROSCOPIC PHASE FIELD//NI3V//ORDERED DOMAIN INTERFACE
10 5487 BOLTZMANN EQUATION//SOFT POTENTIALS//LANDAU EQUATION

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