Class information for:
Level 1: DELTA SHOCK WAVE//TRANSONIC SHOCK//DELTA SHOCKS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13205 854 21.7 44%


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
13205 1                   DELTA SHOCK WAVE//TRANSONIC SHOCK//DELTA SHOCKS 854

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 DELTA SHOCK WAVE authKW 2467042 8% 100% 69
2 TRANSONIC SHOCK authKW 975110 4% 91% 30
3 DELTA SHOCKS authKW 840794 3% 87% 27
4 TWO DIMENSIONAL RIEMANN PROBLEM authKW 710145 3% 83% 24
5 RIEMANN PROBLEM authKW 601642 11% 18% 91
6 RELATIVISTIC EULER EQUATIONS authKW 583977 2% 78% 21
7 2 D RIEMANN PROBLEM authKW 538415 2% 94% 16
8 GENERALIZED RANKINE HUGONIOT RELATION authKW 500559 2% 100% 14
9 NONLINEAR WAVE SYSTEM authKW 464805 2% 100% 13
10 CHARACTERISTIC DECOMPOSITION authKW 457648 2% 80% 16

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 18170 57% 0% 491
2 Mathematics 14960 57% 0% 486
3 Physics, Mathematical 915 10% 0% 83
4 Mechanics 510 9% 0% 80
5 Physics, Fluids & Plasmas 25 2% 0% 16
6 Mathematics, Interdisciplinary Applications 11 1% 0% 11
7 Multidisciplinary Sciences 3 1% 0% 5
8 Statistics & Probability 1 1% 0% 7
9 Engineering, General 0 1% 0% 6
10 Computer Science, Interdisciplinary Applications 0 1% 0% 7

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 SFB611 80446 0% 75% 3
2 SCI ENGN COMPMINIST EDUC 71508 0% 100% 2
3 MATH IMS 57202 0% 40% 4
4 DIANCHI 47671 0% 67% 2
5 YOUNG SCIENTISTS MATH PHYS 47671 0% 67% 2
6 DS UMPA 35754 0% 100% 1
7 ENS LYONUMR 5669 35754 0% 100% 1
8 FR 2222 35754 0% 100% 1
9 MATH ITD 35754 0% 100% 1
10 MATH PGH622 35754 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 38720 2% 5% 20
2 JOURNAL OF DIFFERENTIAL EQUATIONS 26426 9% 1% 73
3 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 16180 4% 1% 34
4 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 14155 4% 1% 31
5 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 8673 3% 1% 25
6 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 7039 3% 1% 27
7 ACTA MATHEMATICA SCIENTIA 6818 3% 1% 22
8 QUARTERLY OF APPLIED MATHEMATICS 6368 2% 1% 17
9 CHINESE ANNALS OF MATHEMATICS SERIES B 6139 2% 1% 17
10 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 5082 6% 0% 55

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 DELTA SHOCK WAVE 2467042 8% 100% 69 Search DELTA+SHOCK+WAVE Search DELTA+SHOCK+WAVE
2 TRANSONIC SHOCK 975110 4% 91% 30 Search TRANSONIC+SHOCK Search TRANSONIC+SHOCK
3 DELTA SHOCKS 840794 3% 87% 27 Search DELTA+SHOCKS Search DELTA+SHOCKS
4 TWO DIMENSIONAL RIEMANN PROBLEM 710145 3% 83% 24 Search TWO+DIMENSIONAL+RIEMANN+PROBLEM Search TWO+DIMENSIONAL+RIEMANN+PROBLEM
5 RIEMANN PROBLEM 601642 11% 18% 91 Search RIEMANN+PROBLEM Search RIEMANN+PROBLEM
6 RELATIVISTIC EULER EQUATIONS 583977 2% 78% 21 Search RELATIVISTIC+EULER+EQUATIONS Search RELATIVISTIC+EULER+EQUATIONS
7 2 D RIEMANN PROBLEM 538415 2% 94% 16 Search 2+D+RIEMANN+PROBLEM Search 2+D+RIEMANN+PROBLEM
8 GENERALIZED RANKINE HUGONIOT RELATION 500559 2% 100% 14 Search GENERALIZED+RANKINE+HUGONIOT+RELATION Search GENERALIZED+RANKINE+HUGONIOT+RELATION
9 NONLINEAR WAVE SYSTEM 464805 2% 100% 13 Search NONLINEAR+WAVE+SYSTEM Search NONLINEAR+WAVE+SYSTEM
10 CHARACTERISTIC DECOMPOSITION 457648 2% 80% 16 Search CHARACTERISTIC+DECOMPOSITION Search CHARACTERISTIC+DECOMPOSITION

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 LAI, G , SHENG, WC , (2016) ELEMENTARY WAVE INTERACTIONS TO THE COMPRESSIBLE EULER EQUATIONS FOR CHAPLYGIN GAS IN TWO DIMENSIONS.SIAM JOURNAL ON APPLIED MATHEMATICS. VOL. 76. ISSUE 6. P. 2218 -2242 28 100% 0
2 LI, JQ , SHENG, WC , ZHANG, T , ZHENG, YX , (2009) TWO-DIMENSIONAL RIEMANN PROBLEMS: FROM SCALAR CONSERVATION LAWS TO COMPRESSIBLE EULER EQUATIONS.ACTA MATHEMATICA SCIENTIA. VOL. 29. ISSUE 4. P. 777 -802 38 84% 10
3 DU, LL , DUAN, B , (2016) SUBSONIC EULER FLOWS WITH LARGE VORTICITY THROUGH AN INFINITELY LONG AXISYMMETRIC NOZZLE.JOURNAL OF MATHEMATICAL FLUID MECHANICS. VOL. 18. ISSUE 3. P. 511 -530 28 97% 0
4 WANG, Q , SONG, K , (2016) THE REGULARITY OF SONIC CURVES FOR THE TWO-DIMENSIONAL RIEMANN PROBLEMS OF THE NONLINEAR WAVE SYSTEM OF CHAPLYGIN GAS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 36. ISSUE 3. P. 1661 -1675 27 100% 0
5 CHEN, SX , HU, D , FANG, BX , (2013) STABILITY OF THE E-H TYPE REGULAR SHOCK REFRACTION.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 254. ISSUE 8. P. 3146-3199 28 100% 0
6 WEI, XF , SHEN, C , (2016) STRUCTURAL STABILITY OF RIEMANN SOLUTIONS FOR STRICTLY HYPERBOLIC SYSTEMS WITH THREE PIECEWISE CONSTANT STATES.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 27 96% 0
7 CHEN, C , DU, LL , XIE, CJ , XIN, ZP , (2016) TWO DIMENSIONAL SUBSONIC EULER FLOWS PAST A WALL OR A SYMMETRIC BODY.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 221. ISSUE 2. P. 559 -602 26 100% 0
8 CHEN, C , (2016) SUBSONIC NON-ISENTROPIC IDEAL GAS WITH LARGE VORTICITY IN NOZZLES.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 39. ISSUE 10. P. 2529 -2548 24 100% 1
9 SHEN, C , (2016) THE RIEMANN PROBLEM FOR THE PRESSURELESS EULER SYSTEM WITH THE COULOMB-LIKE FRICTION TERM.IMA JOURNAL OF APPLIED MATHEMATICS. VOL. 81. ISSUE 1. P. 76 -99 26 84% 2
10 SUN, MN , (2016) STRUCTURAL STABILITY OF SOLUTIONS TO THE RIEMANN PROBLEM FOR A NON-STRICTLY HYPERBOLIC SYSTEM WITH FLUX APPROXIMATION.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 25 96% 0

Classes with closest relation at Level 1


Rank Class id link
1 7290 QUASILINEAR HYPERBOLIC SYSTEM//LINEAR DEGENERACY//QUASILINEAR HYPERBOLIC SYSTEM OF CONSERVATION LAWS
2 34512 EDPNL HIST MATH//NON REGULAR DOMAINS//PROBLEMS WITHOUT INITIAL CONDITION
3 18389 MACH REFLECTION//REGULAR REFLECTION//SHOCK WAVE REFLECTION
4 17690 NONLINEAR GEOMETRIC OPTICS//IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS//PLASMA VACUUM INTERFACE
5 17300 EULER POISSON EQUATIONS//EULER POISSON SYSTEM//QUASI NEUTRAL LIMIT
6 16233 COLOMBEAU ALGEBRA//ALGEBRAS OF GENERALIZED FUNCTIONS//COLOMBEAU GENERALIZED FUNCTIONS
7 25100 TRICOMI PROBLEM//MIXED TYPE EQUATION//PARABOLIC DEGENERACY
8 19365 BURGERS TURBULENCE//STICKY PARTICLES//RANDOM INITIAL VELOCITY
9 22194 CAPILLARY SURFACE//CONCUS FINN CONJECTURE//CAPILLARY GRAPH
10 12431 NULL CONDITION//SEMILINEAR WAVE EQUATION//QUASILINEAR WAVE EQUATIONS

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