Class information for:
Level 1: VERY SINGULAR SOLUTION//FAST DIFFUSION//POROUS MEDIUM EQUATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7592 1349 19.3 42%


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
7592 1                   VERY SINGULAR SOLUTION//FAST DIFFUSION//POROUS MEDIUM EQUATION 1349

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 VERY SINGULAR SOLUTION authKW 271607 1% 100% 12
2 FAST DIFFUSION authKW 227464 2% 36% 28
3 POROUS MEDIUM EQUATION authKW 227380 3% 23% 43
4 GRADIENT BLOWUP authKW 188612 1% 83% 10
5 INITIAL TRACE authKW 182574 1% 73% 11
6 FAST DIFFUSION EQUATION authKW 174082 1% 38% 20
7 MEASURES AS INITIAL DATA authKW 158437 1% 100% 7
8 VISCOUS HAMILTON JACOBI EQUATION authKW 152142 1% 61% 11
9 SINGULAR PARABOLIC EQUATIONS authKW 141454 1% 63% 10
10 GRADIENT ABSORPTION authKW 138631 1% 88% 7

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 42368 76% 0% 1020
2 Mathematics, Applied 29883 59% 0% 791
3 Mechanics 88 4% 0% 52
4 Physics, Mathematical 82 3% 0% 39
5 Multidisciplinary Sciences 3 1% 0% 7
6 Mathematics, Interdisciplinary Applications 0 1% 0% 8
7 Education, Scientific Disciplines -0 0% 0% 3
8 Limnology -0 0% 0% 1
9 Mathematical & Computational Biology -0 0% 0% 3
10 Engineering, General -1 0% 0% 5

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 DIPARTIMENTO MATEMAT G CASTELNUOVO 49240 2% 8% 28
2 LAMA LIBAN 46201 1% 29% 7
3 DIPARTIMENTO MATEMAT FELICE CASORATT 45268 0% 100% 2
4 DIPARTIMENTO MATEMAT F CASORATI 33745 1% 7% 20
5 COMPUTAT AEROACOUST 30177 0% 67% 2
6 MATH ANAL COMPUTAT 30177 0% 67% 2
7 ACH PL MATH 22634 0% 100% 1
8 CERMICS ECOLE PONTS 22634 0% 100% 1
9 CNRS URA 741 22634 0% 100% 1
10 CNRSURA 756 22634 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 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 38883 11% 1% 144
2 JOURNAL OF EVOLUTION EQUATIONS 24693 2% 5% 24
3 JOURNAL OF DIFFERENTIAL EQUATIONS 21061 6% 1% 82
4 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 14905 3% 2% 40
5 SBORNIK MATHEMATICS 9852 2% 2% 26
6 ASYMPTOTIC ANALYSIS 9233 2% 2% 22
7 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 8489 2% 1% 31
8 ADVANCES IN DIFFERENTIAL EQUATIONS 7868 1% 3% 12
9 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 7475 3% 1% 35
10 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 7318 2% 1% 29

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 VERY SINGULAR SOLUTION 271607 1% 100% 12 Search VERY+SINGULAR+SOLUTION Search VERY+SINGULAR+SOLUTION
2 FAST DIFFUSION 227464 2% 36% 28 Search FAST+DIFFUSION Search FAST+DIFFUSION
3 POROUS MEDIUM EQUATION 227380 3% 23% 43 Search POROUS+MEDIUM+EQUATION Search POROUS+MEDIUM+EQUATION
4 GRADIENT BLOWUP 188612 1% 83% 10 Search GRADIENT+BLOWUP Search GRADIENT+BLOWUP
5 INITIAL TRACE 182574 1% 73% 11 Search INITIAL+TRACE Search INITIAL+TRACE
6 FAST DIFFUSION EQUATION 174082 1% 38% 20 Search FAST+DIFFUSION+EQUATION Search FAST+DIFFUSION+EQUATION
7 MEASURES AS INITIAL DATA 158437 1% 100% 7 Search MEASURES+AS+INITIAL+DATA Search MEASURES+AS+INITIAL+DATA
8 VISCOUS HAMILTON JACOBI EQUATION 152142 1% 61% 11 Search VISCOUS+HAMILTON+JACOBI+EQUATION Search VISCOUS+HAMILTON+JACOBI+EQUATION
9 SINGULAR PARABOLIC EQUATIONS 141454 1% 63% 10 Search SINGULAR+PARABOLIC+EQUATIONS Search SINGULAR+PARABOLIC+EQUATIONS
10 GRADIENT ABSORPTION 138631 1% 88% 7 Search GRADIENT+ABSORPTION Search GRADIENT+ABSORPTION

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 IAGAR, RG , SANCHEZ, A , (2016) ASYMPTOTIC BEHAVIOR FOR THE CRITICAL NONHOMOGENEOUS POROUS MEDIUM EQUATION IN LOW DIMENSIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 439. ISSUE 2. P. 843 -863 30 91% 0
2 SHANG, HF , SUN, JL , DENG, LH , (2015) CAUCHY PROBLEM FOR DOUBLY SINGULAR PARABOLIC EQUATION WITH GRADIENT SOURCE.MATHEMATISCHE NACHRICHTEN. VOL. 288. ISSUE 17-18. P. 2109 -2128 24 100% 0
3 KIM, YJ , MCCANN, RJ , (2006) POTENTIAL THEORY AND OPTIMAL CONVERGENCE RATES IN FAST NONLINEAR DIFFUSION.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES. VOL. 86. ISSUE 1. P. 42-67 33 87% 11
4 BONFORTE, M , DOLBEAULT, J , MURATORI, M , NAZARET, B , (2017) WEIGHTED FAST DIFFUSION EQUATIONS (PART II): SHARP ASYMPTOTIC RATES OF CONVERGENCE IN RELATIVE ERROR BY ENTROPY METHODS.KINETIC AND RELATED MODELS. VOL. 10. ISSUE 1. P. 61 -91 24 92% 0
5 IAGAR, RG , LAURENCOT, P , (2014) ASYMPTOTIC BEHAVIOR FOR A SINGULAR DIFFUSION EQUATION WITH GRADIENT ABSORPTION.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 256. ISSUE 8. P. 2739-2777 26 87% 1
6 KALASHNIKOV, AS , (1987) SOME PROBLEMS OF THE QUALITATIVE THEORY OF NON-LINEAR DEGENERATE 2ND-ORDER PARABOLIC EQUATIONS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 42. ISSUE 2. P. 169-222 59 66% 257
7 SHMAREV, S , VDOVIN, V , VLASOV, A , (2015) INTERFACES IN DIFFUSION-ABSORPTION PROCESSES IN NONHOMOGENEOUS MEDIA.MATHEMATICS AND COMPUTERS IN SIMULATION. VOL. 118. ISSUE . P. 360 -378 21 95% 0
8 GRILLO, G , MURATORI, M , (2014) RADIAL FAST DIFFUSION ON THE HYPERBOLIC SPACE.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 109. ISSUE . P. 283 -317 23 85% 3
9 IAGAR, RG , SANCHEZ, A , (2014) LARGE TIME BEHAVIOR FOR A POROUS MEDIUM EQUATION IN A NONHOMOGENEOUS MEDIUM WITH CRITICAL DENSITY.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 102. ISSUE . P. 226 -241 20 95% 3
10 GILDING, BH , KERSNER, R , (1996) THE CHARACTERIZATION OF REACTION-CONVECTION-DIFFUSION PROCESSES BY TRAVELLING WAVES.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 124. ISSUE 1. P. 27 -79 37 84% 26

Classes with closest relation at Level 1


Rank Class id link
1 2307 BLOW UP//BLOW UP RATE//NONLOCAL SOURCE
2 29279 FLUX LIMITED DIFFUSION EQUATIONS//RELATIVISTIC HEAT EQUATION//TELEGRAPH REACTION DIFFUSION EQUATION
3 16906 FAST AUTOMATIC DIFFERENTIATION//IMMISCIBLE COMPRESSIBLE//WATER HYDROGEN
4 15104 THIN FILM EQUATION//QUANTUM DRIFT DIFFUSION MODEL//QUANTUM HYDRODYNAMICS
5 15989 BERNOULLI PROBLEM//FREE BOUNDARY PROBLEM//FREE BOUNDARY
6 10729 RENORMALIZED SOLUTIONS//L 1 DATA//RELATIVE REARRANGEMENT
7 18001 BOUSSINESQ SYSTEM//DISSIPATIVE NONLINEAR EVOLUTION EQUATION//KORTEWEG DE VRIES EQUATION
8 30085 NON NEWTONIAN COMPRESSIBLE FLUID//VORTEX SHALLOW WATER//GENERALIZED BURGERS EQUATION
9 15951 DISCONTINUOUS FLUX//ENTROPY SOLUTION//CONSERVATION LAWS
10 6655 REIFENBERG DOMAIN//PARTIAL REGULARITY//CALDERON ZYGMUND ESTIMATES

Go to start page