Class information for:
Level 1: QUASILINEAR HYPERBOLIC SYSTEM//LINEAR DEGENERACY//QUASILINEAR HYPERBOLIC SYSTEM OF CONSERVATION LAWS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7290 1385 20.8 43%


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
7290 1                   QUASILINEAR HYPERBOLIC SYSTEM//LINEAR DEGENERACY//QUASILINEAR HYPERBOLIC SYSTEM OF CONSERVATION LAWS 1385

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 QUASILINEAR HYPERBOLIC SYSTEM authKW 468967 3% 48% 44
2 LINEAR DEGENERACY authKW 357134 1% 90% 18
3 QUASILINEAR HYPERBOLIC SYSTEM OF CONSERVATION LAWS authKW 288060 1% 93% 14
4 COMPENSATED COMPACTNESS authKW 288004 3% 31% 42
5 CONSERVATION LAWS authKW 277691 12% 8% 163
6 KINETIC RELATION authKW 233504 2% 42% 25
7 WEAK LINEAR DEGENERACY authKW 232851 1% 81% 13
8 JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS journal 214978 4% 16% 60
9 RIEMANN PROBLEM authKW 213212 5% 14% 69
10 RIEMANN SOLUTION authKW 193029 1% 49% 18

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 35415 63% 0% 871
2 Mathematics 18760 50% 0% 696
3 Mechanics 1653 13% 0% 177
4 Physics, Mathematical 1198 9% 0% 122
5 Engineering, General 58 2% 0% 29
6 Mathematics, Interdisciplinary Applications 7 1% 0% 14
7 Computer Science, Interdisciplinary Applications 6 1% 0% 17
8 Engineering, Petroleum 5 0% 0% 4
9 Computer Science, Software Engineering 0 1% 0% 8
10 Multidisciplinary Sciences 0 0% 0% 4

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 UA 756 154319 1% 100% 7
2 UMR 7641 50338 2% 8% 28
3 KK CHEN ADV STUDIES 49601 0% 75% 3
4 CNRS UA 756 22046 0% 100% 1
5 CNRS UMR 128 UNITE MATH PU PL 22046 0% 100% 1
6 D MATEMAT ESTATIST 22046 0% 100% 1
7 DCA IST 22046 0% 100% 1
8 DMATECT 22046 0% 100% 1
9 HEFEI UNIV COLOMBIA 22046 0% 100% 1
10 JAC LOUIS 22046 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 HYPERBOLIC DIFFERENTIAL EQUATIONS 214978 4% 16% 60
2 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 65423 6% 3% 87
3 JOURNAL OF DIFFERENTIAL EQUATIONS 47026 9% 2% 124
4 QUARTERLY OF APPLIED MATHEMATICS 19649 3% 2% 38
5 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 18702 4% 2% 56
6 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 15252 3% 2% 41
7 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 13214 2% 2% 31
8 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 10394 3% 1% 35
9 ACTA MATHEMATICA SCIENTIA 8888 2% 1% 32
10 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 7644 5% 1% 65

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 QUASILINEAR HYPERBOLIC SYSTEM 468967 3% 48% 44 Search QUASILINEAR+HYPERBOLIC+SYSTEM Search QUASILINEAR+HYPERBOLIC+SYSTEM
2 LINEAR DEGENERACY 357134 1% 90% 18 Search LINEAR+DEGENERACY Search LINEAR+DEGENERACY
3 QUASILINEAR HYPERBOLIC SYSTEM OF CONSERVATION LAWS 288060 1% 93% 14 Search QUASILINEAR+HYPERBOLIC+SYSTEM+OF+CONSERVATION+LAWS Search QUASILINEAR+HYPERBOLIC+SYSTEM+OF+CONSERVATION+LAWS
4 COMPENSATED COMPACTNESS 288004 3% 31% 42 Search COMPENSATED+COMPACTNESS Search COMPENSATED+COMPACTNESS
5 CONSERVATION LAWS 277691 12% 8% 163 Search CONSERVATION+LAWS Search CONSERVATION+LAWS
6 KINETIC RELATION 233504 2% 42% 25 Search KINETIC+RELATION Search KINETIC+RELATION
7 WEAK LINEAR DEGENERACY 232851 1% 81% 13 Search WEAK+LINEAR+DEGENERACY Search WEAK+LINEAR+DEGENERACY
8 RIEMANN PROBLEM 213212 5% 14% 69 Search RIEMANN+PROBLEM Search RIEMANN+PROBLEM
9 RIEMANN SOLUTION 193029 1% 49% 18 Search RIEMANN+SOLUTION Search RIEMANN+SOLUTION
10 GLOBAL CLASSICAL SOLUTION 190604 2% 41% 21 Search GLOBAL+CLASSICAL+SOLUTION Search GLOBAL+CLASSICAL+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 LEFLOCH, PG , MISHRA, S , (2014) NUMERICAL METHODS WITH CONTROLLED DISSIPATION FOR SMALL-SCALE DEPENDENT SHOCKS.ACTA NUMERICA. VOL. 23. ISSUE . P. 743 -816 88 54% 3
2 MATOS, V , AZEVEDO, AV , DA MOTA, JC , MARCHESIN, D , (2015) BIFURCATION UNDER PARAMETER CHANGE OF RIEMANN SOLUTIONS FOR NONSTRICTLY HYPERBOLIC SYSTEMS.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. VOL. 66. ISSUE 4. P. 1413 -1452 24 96% 0
3 BRESSAN, A , (2013) HYPERBOLIC CONSERVATION LAWS: AN ILLUSTRATED TUTORIAL.MODELLING AND OPTIMISATION OF FLOWS ON NETWORKS, CETRARO, ITALY 2009. VOL. 2062. ISSUE . P. 157 -245 26 87% 5
4 BIANCHINI, S , BRESSAN, A , (2005) VANISHING VISCOSITY SOLUTIONS OF NONLINEAR HYPERBOLIC SYSTEMS.ANNALS OF MATHEMATICS. VOL. 161. ISSUE 1. P. 223-342 26 84% 159
5 CASTANEDA, P , ABREU, E , FURTADO, F , MARCHESIN, D , (2016) ON A UNIVERSAL STRUCTURE FOR IMMISCIBLE THREE-PHASE FLOW IN VIRGIN RESERVOIRS.COMPUTATIONAL GEOSCIENCES. VOL. 20. ISSUE 1. P. 171 -185 22 92% 0
6 SHAO, ZQ , (2015) LIFESPAN OF CLASSICAL DISCONTINUOUS SOLUTIONS TO THE GENERALIZED NONLINEAR INITIAL-BOUNDARY RIEMANN PROBLEM FOR HYPERBOLIC CONSERVATION LAWS WITH SMALL BV DATA: SHOCKS AND CONTACT DISCONTINUITIES.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 14. ISSUE 3. P. 759 -792 28 72% 0
7 BOUTIN, B , CHALONS, C , LAGOUTIERE, F , LEFLOCH, PG , (2008) CONVERGENT AND CONSERVATIVE SCHEMES FOR NONCLASSICAL SOLUTIONS BASED ON KINETIC RELATIONS. I.INTERFACES AND FREE BOUNDARIES. VOL. 10. ISSUE 3. P. 399-421 25 93% 8
8 SHAO, ZQ , LI, YC , KONG, DX , (2008) GLOBAL WEAKLY DISCONTINUOUS SOLUTIONS TO QUASILINEAR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS WITH DAMPING WITH A KIND OF NON-SMOOTH INITIAL DATA.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. VOL. 59. ISSUE 6. P. 935 -968 24 96% 0
9 SHAO, ZQ , (2013) ASYMPTOTIC BEHAVIOUR OF GLOBAL CLASSICAL SOLUTIONS TO THE MIXED INITIAL-BOUNDARY VALUE PROBLEM FOR DIAGONALIZABLE QUASILINEAR HYPERBOLIC SYSTEMS.IMA JOURNAL OF APPLIED MATHEMATICS. VOL. 78. ISSUE 1. P. 1 -31 21 95% 1
10 AGUILLON, N , (2016) CAPTURING NONCLASSICAL SHOCKS IN NONLINEAR ELASTODYNAMIC WITH A CONSERVATIVE FINITE VOLUME SCHEME.INTERFACES AND FREE BOUNDARIES. VOL. 18. ISSUE 2. P. 137 -159 18 95% 1

Classes with closest relation at Level 1


Rank Class id link
1 7764 EVANS FUNCTION//VISCOUS CONSERVATION LAWS//RAREFACTION WAVE
2 15951 DISCONTINUOUS FLUX//ENTROPY SOLUTION//CONSERVATION LAWS
3 17300 EULER POISSON EQUATIONS//EULER POISSON SYSTEM//QUASI NEUTRAL LIMIT
4 13205 DELTA SHOCK WAVE//TRANSONIC SHOCK//DELTA SHOCKS
5 37186 CONSERVATION LAW WITH NONLINEAR DIVERGENT VISCOSITY//CONVERGENCE IN FORM//INNOVATION WAVES
6 21425 COMPLEMENTING CONDITION//JOURNAL OF ELASTICITY//CHEMICAL AFFINITY TENSOR
7 18777 DIFFERENTIAL ALGEBRAIC SOLVER//MCI//M2NET
8 17690 NONLINEAR GEOMETRIC OPTICS//IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS//PLASMA VACUUM INTERFACE
9 12473 COMPRESSIBLE MULTIPHASE FLOW//GHOST FLUID METHOD//MODIFIED GHOST FLUID METHOD
10 12431 NULL CONDITION//SEMILINEAR WAVE EQUATION//QUASILINEAR WAVE EQUATIONS

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