Class information for:
Level 1: FLUX LIMITED DIFFUSION EQUATIONS//RELATIVISTIC HEAT EQUATION//TELEGRAPH REACTION DIFFUSION EQUATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
29279 189 21.0 41%


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
29279 1                   FLUX LIMITED DIFFUSION EQUATIONS//RELATIVISTIC HEAT EQUATION//TELEGRAPH REACTION DIFFUSION EQUATION 189

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 FLUX LIMITED DIFFUSION EQUATIONS authKW 969379 3% 100% 6
2 RELATIVISTIC HEAT EQUATION authKW 673178 3% 83% 5
3 TELEGRAPH REACTION DIFFUSION EQUATION authKW 517001 2% 80% 4
4 NAGUMO TELEGRAPH EQUATION authKW 484690 2% 100% 3
5 DIFFUSION AGGREGATION MODELS authKW 323126 1% 100% 2
6 FAST HETEROCLINIC authKW 323126 1% 100% 2
7 FLUX LIMITED EQUATIONS authKW 323126 1% 100% 2
8 RUNGE KUTTA FEHLBERG 45 METHOD authKW 323126 1% 100% 2
9 SHARP PROFILES authKW 323126 1% 100% 2
10 SHARP SOLUTIONS authKW 290811 2% 60% 3

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 2728 48% 0% 90
2 Mathematics 2618 51% 0% 96
3 Physics, Mathematical 270 11% 0% 21
4 Mathematical & Computational Biology 246 7% 0% 13
5 BIOLOGY, MISCELLANEOUS 103 1% 0% 1
6 MEDICINE, MISCELLANEOUS 100 1% 0% 1
7 Mathematics, Interdisciplinary Applications 87 5% 0% 10
8 Biology 63 6% 0% 11
9 Mechanics 45 6% 0% 12
10 Physics, Multidisciplinary 35 8% 0% 15

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 TECNOL INFORMACIO COMUNICACIO 215416 1% 67% 2
2 EDIFICIO DEPARTAMENTAL 2 161563 1% 100% 1
3 NEUROTRANSPORTER GRP ANAT 161563 1% 100% 1
4 PMMIK 161563 1% 100% 1
5 UMR 5149CC051 161563 1% 100% 1
6 ENGN SCI METHODS 99409 4% 8% 8
7 MA SIM FOCUS AREA 80781 1% 50% 1
8 NWL 80781 1% 50% 1
9 TECNOL INFORMACIO 80781 1% 50% 1
10 PERDO 40389 1% 25% 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 ADVANCED NONLINEAR STUDIES 4351 2% 1% 4
2 SIBERIAN MATHEMATICAL JOURNAL 4328 5% 0% 9
3 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 3385 3% 0% 6
4 JOURNAL OF DIFFERENTIAL EQUATIONS 2704 6% 0% 11
5 JOURNAL OF MATHEMATICAL BIOLOGY 1734 3% 0% 5
6 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 1661 3% 0% 5
7 ADVANCES IN NONLINEAR ANALYSIS 1567 1% 1% 1
8 PUBLICACIONS MATEMATIQUES 1565 1% 0% 2
9 ADVANCES IN DIFFERENTIAL EQUATIONS 1561 1% 0% 2
10 VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA 1402 2% 0% 3

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 FLUX LIMITED DIFFUSION EQUATIONS 969379 3% 100% 6 Search FLUX+LIMITED+DIFFUSION+EQUATIONS Search FLUX+LIMITED+DIFFUSION+EQUATIONS
2 RELATIVISTIC HEAT EQUATION 673178 3% 83% 5 Search RELATIVISTIC+HEAT+EQUATION Search RELATIVISTIC+HEAT+EQUATION
3 TELEGRAPH REACTION DIFFUSION EQUATION 517001 2% 80% 4 Search TELEGRAPH+REACTION+DIFFUSION+EQUATION Search TELEGRAPH+REACTION+DIFFUSION+EQUATION
4 NAGUMO TELEGRAPH EQUATION 484690 2% 100% 3 Search NAGUMO+TELEGRAPH+EQUATION Search NAGUMO+TELEGRAPH+EQUATION
5 DIFFUSION AGGREGATION MODELS 323126 1% 100% 2 Search DIFFUSION+AGGREGATION+MODELS Search DIFFUSION+AGGREGATION+MODELS
6 FAST HETEROCLINIC 323126 1% 100% 2 Search FAST+HETEROCLINIC Search FAST+HETEROCLINIC
7 FLUX LIMITED EQUATIONS 323126 1% 100% 2 Search FLUX+LIMITED+EQUATIONS Search FLUX+LIMITED+EQUATIONS
8 RUNGE KUTTA FEHLBERG 45 METHOD 323126 1% 100% 2 Search RUNGE+KUTTA+FEHLBERG+45+METHOD Search RUNGE+KUTTA+FEHLBERG+45+METHOD
9 SHARP PROFILES 323126 1% 100% 2 Search SHARP+PROFILES Search SHARP+PROFILES
10 SHARP SOLUTIONS 290811 2% 60% 3 Search SHARP+SOLUTIONS Search SHARP+SOLUTIONS

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 CAMPOS, J , SOLER, J , (2016) QUALITATIVE BEHAVIOR AND TRAVELING WAVES FOR FLUX-SATURATED POROUS MEDIA EQUATIONS ARISING IN OPTIMAL MASS TRANSPORTATION.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 137. ISSUE . P. 266 -290 23 72% 0
2 CASELLES, V , (2015) CONVERGENCE OF FLUX-LIMITED POROUS MEDIA DIFFUSION EQUATIONS TO THEIR CLASSICAL COUNTERPART.ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE. VOL. 14. ISSUE 2. P. 481 -505 18 82% 3
3 CALVO, J , CAMPOS, J , CASELLES, V , SANCHEZ, O , SOLER, J , (2016) PATTERN FORMATION IN A FLUX LIMITED REACTION-DIFFUSION EQUATION OF POROUS MEDIA TYPE.INVENTIONES MATHEMATICAE. VOL. 206. ISSUE 1. P. 57 -108 25 60% 0
4 CALVO, J , CASELLES, V , (2013) LOCAL-IN-TIME REGULARITY RESULTS FOR SOME FLUX-LIMITED DIFFUSION EQUATIONS OF POROUS MEDIA TYPE.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 93. ISSUE . P. 236-272 19 76% 3
5 CALVO, J , (2015) ANALYSIS OF A CLASS OF DEGENERATE PARABOLIC EQUATIONS WITH SATURATION MECHANISMS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 47. ISSUE 4. P. 2917 -2951 18 67% 2
6 CASELLES, V , (2011) AN EXISTENCE AND UNIQUENESS RESULT FOR FLUX LIMITED DIFFUSION EQUATIONS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 31. ISSUE 4. P. 1151-1195 16 80% 4
7 CASELLES, V , (2013) FLUX LIMITED GENERALIZED POROUS MEDIA DIFFUSION EQUATIONS.PUBLICACIONS MATEMATIQUES. VOL. 57. ISSUE 1. P. 155-217 18 62% 3
8 CASELLES, V , (2011) ON THE ENTROPY CONDITIONS FOR SOME FLUX LIMITED DIFFUSION EQUATIONS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 250. ISSUE 8. P. 3311 -3348 15 75% 15
9 CARRILLO, JA , CASELLES, V , MOLL, S , (2013) ON THE RELATIVISTIC HEAT EQUATION IN ONE SPACE DIMENSION.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 107. ISSUE . P. 1395-1423 17 61% 3
10 MALAGUTI, L , MARCELLI, C , MATUCCI, S , (2011) CONTINUOUS DEPENDENCE IN FRONT PROPAGATION FOR CONVECTIVE REACTION-DIFFUSION MODELS WITH AGGREGATIVE MOVEMENTS.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 10 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 7592 VERY SINGULAR SOLUTION//FAST DIFFUSION//POROUS MEDIUM EQUATION
2 37186 CONSERVATION LAW WITH NONLINEAR DIVERGENT VISCOSITY//CONVERGENCE IN FORM//INNOVATION WAVES
3 22156 NONSTANDARD FINITE DIFFERENCE SCHEMES//NONSTANDARD FINITE DIFFERENCE METHOD//BURGERS HUXLEY EQUATION
4 3912 TRAVELING WAVE FRONTS//SPREADING SPEED//NONLOCAL DISPERSAL
5 17607 CNRS URA 765//DEPARTURE FROM PARTIAL EQUILIBRIUM//FINITE MEMORY EFFECT
6 14798 PROTEUS MIRABILIS//BACTERIAL COLONY//MORGANELLA MORGANII
7 4000 CELLULAR POTTS MODEL//HARVARD MIT HST ATHINOULA A MARTINOS BIOMED I//COMPLEX BIOSYST MODELING
8 8973 KELLER SEGEL MODEL//LOGISTIC SOURCE//CHEMOTAXIS
9 8449 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM
10 9530 FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES//QUASISTATIC EVOLUTION

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