Class information for:
Level 1: DISCONTINUOUS FLUX//ENTROPY SOLUTION//CONSERVATION LAWS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15951 682 22.9 47%


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
15951 1                   DISCONTINUOUS FLUX//ENTROPY SOLUTION//CONSERVATION LAWS 682

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 DISCONTINUOUS FLUX authKW 1309560 6% 75% 39
2 ENTROPY SOLUTION authKW 858129 11% 26% 73
3 CONSERVATION LAWS authKW 428203 21% 7% 142
4 DEGENERATE PARABOLIC HYPERBOLIC EQUATION authKW 402947 1% 100% 9
5 SCALAR CONSERVATION LAWS authKW 352625 5% 25% 31
6 KINETIC SOLUTION authKW 313404 1% 100% 7
7 KINETIC FORMULATION authKW 298453 3% 33% 20
8 RENORMALIZED ENTROPY SOLUTIONS authKW 268632 1% 100% 6
9 GENERALIZED ENTROPY SOLUTIONS authKW 223860 1% 100% 5
10 MEASURE VALUED SOLUTION authKW 213189 1% 48% 10

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 16221 61% 0% 414
2 Mathematics 4470 35% 0% 242
3 Mathematics, Interdisciplinary Applications 663 7% 0% 51
4 Physics, Mathematical 359 7% 0% 48
5 Computer Science, Interdisciplinary Applications 192 5% 0% 35
6 Engineering, General 106 4% 0% 24
7 Mechanics 103 5% 0% 36
8 Engineering, Petroleum 16 1% 0% 4
9 Automation & Control Systems 13 1% 0% 9
10 Operations Research & Management Science 13 1% 0% 10

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 GRP NFAM2 124362 1% 56% 5
2 UNITA INDAM 119389 1% 67% 4
3 EDP ANAL NUMER 100735 0% 75% 3
4 CMAF IO 89544 0% 100% 2
5 JACQUES LOUIS LOUIS 89544 0% 100% 2
6 SCI ENGN COMP MOE 79590 1% 44% 4
7 INVEST INGN MATEMAT 59695 0% 67% 2
8 ARBEITSGRP OPTIMIERUNG 44772 0% 100% 1
9 CNRS UMR6623 44772 0% 100% 1
10 CO RI SA 44772 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 NETWORKS AND HETEROGENEOUS MEDIA 57304 3% 6% 23
2 JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS 48495 3% 5% 20
3 SIAM JOURNAL ON NUMERICAL ANALYSIS 18352 6% 1% 41
4 ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 11114 3% 1% 18
5 COMMUNICATIONS IN MATHEMATICAL SCIENCES 10513 2% 2% 13
6 COMPUTATIONAL GEOSCIENCES 9416 2% 2% 12
7 JOURNAL OF DIFFERENTIAL EQUATIONS 6734 5% 0% 33
8 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 5853 3% 1% 22
9 JOURNAL OF EVOLUTION EQUATIONS 5421 1% 2% 8
10 NUMERISCHE MATHEMATIK 4839 3% 1% 18

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 DISCONTINUOUS FLUX 1309560 6% 75% 39 Search DISCONTINUOUS+FLUX Search DISCONTINUOUS+FLUX
2 ENTROPY SOLUTION 858129 11% 26% 73 Search ENTROPY+SOLUTION Search ENTROPY+SOLUTION
3 CONSERVATION LAWS 428203 21% 7% 142 Search CONSERVATION+LAWS Search CONSERVATION+LAWS
4 DEGENERATE PARABOLIC HYPERBOLIC EQUATION 402947 1% 100% 9 Search DEGENERATE+PARABOLIC+HYPERBOLIC+EQUATION Search DEGENERATE+PARABOLIC+HYPERBOLIC+EQUATION
5 SCALAR CONSERVATION LAWS 352625 5% 25% 31 Search SCALAR+CONSERVATION+LAWS Search SCALAR+CONSERVATION+LAWS
6 KINETIC SOLUTION 313404 1% 100% 7 Search KINETIC+SOLUTION Search KINETIC+SOLUTION
7 KINETIC FORMULATION 298453 3% 33% 20 Search KINETIC+FORMULATION Search KINETIC+FORMULATION
8 RENORMALIZED ENTROPY SOLUTIONS 268632 1% 100% 6 Search RENORMALIZED+ENTROPY+SOLUTIONS Search RENORMALIZED+ENTROPY+SOLUTIONS
9 GENERALIZED ENTROPY SOLUTIONS 223860 1% 100% 5 Search GENERALIZED+ENTROPY+SOLUTIONS Search GENERALIZED+ENTROPY+SOLUTIONS
10 MEASURE VALUED SOLUTION 213189 1% 48% 10 Search MEASURE+VALUED+SOLUTION Search MEASURE+VALUED+SOLUTION

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 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 45 88% 32
2 ANDREIANOV, B , CANCES, C , (2015) ON INTERFACE TRANSMISSION CONDITIONS FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX OF GENERAL SHAPE.JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS. VOL. 12. ISSUE 2. P. 343 -384 38 81% 0
3 ANDREIANOV, B , MITROVIC, D , (2015) ENTROPY CONDITIONS FOR SCALAR CONSERVATION LAWS WITH DISCONTINUOUS FLUX REVISITED.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE. VOL. 32. ISSUE 6. P. 1307 -1335 26 93% 3
4 BULICEK, M , GWIAZDA, P , SWIERCZEWSKA-GWIAZDA, A , (2013) MULTI-DIMENSIONAL SCALAR CONSERVATION LAWS WITH FLUXES DISCONTINUOUS IN THE UNKNOWN AND THE SPATIAL VARIABLE.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. VOL. 23. ISSUE 3. P. 407 -439 26 96% 1
5 ANDREIANOV, B , CANCES, C , (2013) VANISHING CAPILLARITY SOLUTIONS OF BUCKLEY-LEVERETT EQUATION WITH GRAVITY IN TWO-ROCKS' MEDIUM.COMPUTATIONAL GEOSCIENCES. VOL. 17. ISSUE 3. P. 551-572 29 81% 7
6 ANDREIANOV, B , GAZIBO, MK , (2016) EXPLICIT FORMULATION FOR THE DIRICHLET PROBLEM FOR PARABOLIC-HYPERBOLIC CONSERVATION LAWS.NETWORKS AND HETEROGENEOUS MEDIA. VOL. 11. ISSUE 2. P. 203 -222 23 96% 0
7 BURGER, R , KARLSEN, KH , TOWERS, JD , (2009) AN ENGQUIST-OSHER-TYPE SCHEME FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX ADAPTED TO FLUX CONNECTIONS.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 47. ISSUE 3. P. 1684-1712 27 82% 37
8 LI, YC , WANG, Q , WANG, ZG , (2014) RENORMALIZED ENTROPY SOLUTIONS OF HOMOGENEOUS DIRICHLET PROBLEMS FOR QUASILINEAR ANISOTROPIC DEGENERATE PARABOLIC-HYPERBOLIC EQUATIONS.ADVANCES IN DIFFERENTIAL EQUATIONS. VOL. 19. ISSUE 3-4. P. 387-408 23 92% 0
9 ANDREIANOV, B , BRENNER, K , CANCES, C , (2014) APPROXIMATING THE VANISHING CAPILLARITY LIMIT OF TWO-PHASE FLOW IN MULTI-DIMENSIONAL HETEROGENEOUS POROUS MEDIUM.ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK. VOL. 94. ISSUE 7-8. P. 655 -667 20 100% 1
10 CANCES, C , (2010) ASYMPTOTIC BEHAVIOR OF TWO-PHASE FLOWS IN HETEROGENEOUS POROUS MEDIA FOR CAPILLARITY DEPENDING ONLY ON SPACE. I. CONVERGENCE TO THE OPTIMAL ENTROPY SOLUTION.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 42. ISSUE 2. P. 946 -971 24 89% 4

Classes with closest relation at Level 1


Rank Class id link
1 16906 FAST AUTOMATIC DIFFERENTIATION//IMMISCIBLE COMPRESSIBLE//WATER HYDROGEN
2 7290 QUASILINEAR HYPERBOLIC SYSTEM//LINEAR DEGENERACY//QUASILINEAR HYPERBOLIC SYSTEM OF CONSERVATION LAWS
3 7764 EVANS FUNCTION//VISCOUS CONSERVATION LAWS//RAREFACTION WAVE
4 16137 SECONDARY CLARIFIER//CLARIFIER//SEDIMENTATION TANK
5 36081 INGN ERVORIOS//ADAPTIVE IMPLICIT METHOD//CONVOLUTIONAL INTEGRAL
6 28289 STREAMLINE SIMULATION//VISCOUS DOMINANT REGIME//ADVECTION DISPERSION RATIO
7 20111 STOCHASTIC FLOWS//ISOTROPIC BROWNIAN FLOW//REGULAR LAGRANGIAN FLOWS
8 30584 CLOSEST POINT METHOD//EVOLVING SURFACES//EVOLVING SURFACE FINITE ELEMENT METHOD
9 4240 HYPERBOLIC CONSERVATION LAWS//HIGH ORDER ACCURACY//WENO SCHEME
10 10729 RENORMALIZED SOLUTIONS//L 1 DATA//RELATIVE REARRANGEMENT

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