Class information for:
Level 1: NONLINEAR GEOMETRIC OPTICS//IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS//PLASMA VACUUM INTERFACE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
17690 587 16.5 38%


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
704 2             NAVIER STOKES EQUATIONS//GLOBAL ATTRACTOR//CAHN HILLIARD EQUATION 12952
17690 1                   NONLINEAR GEOMETRIC OPTICS//IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS//PLASMA VACUUM INTERFACE 587

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 NONLINEAR GEOMETRIC OPTICS authKW 731503 3% 94% 15
2 IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS authKW 312109 1% 100% 6
3 PLASMA VACUUM INTERFACE authKW 283207 1% 78% 7
4 CHARACTERISTIC BOUNDARY authKW 247843 2% 53% 9
5 SYMMETRIC HYPERBOLIC SYSTEMS authKW 166448 1% 40% 8
6 CHARACTERISTIC FREE BOUNDARY authKW 156054 1% 100% 3
7 CONORMAL WAVES authKW 156054 1% 100% 3
8 ELLIPTIC SYSTEM OF VON KARMAN TYPE authKW 156054 1% 100% 3
9 LOSS OF DERIVATIVES authKW 144044 1% 46% 6
10 BURGER AND EULER EQUATIONS authKW 104036 0% 100% 2

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 12621 63% 0% 369
2 Mathematics, Applied 8071 47% 0% 273
3 Mechanics 244 8% 0% 47
4 Physics, Mathematical 212 6% 0% 35
5 Acoustics 58 2% 0% 13
6 Engineering, Aerospace 44 2% 0% 9
7 Physics, Fluids & Plasmas 13 2% 0% 10
8 Physics, Multidisciplinary 12 4% 0% 23
9 Materials Science, Characterization, Testing 5 1% 0% 3
10 Audiology & Speech-Language Pathology 1 0% 0% 2

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 MAB 103202 3% 12% 16
2 CHERCHEUR QUAL FNRS 52018 0% 100% 1
3 CNRS TALENCE 52018 0% 100% 1
4 DEFT PROJECT 52018 0% 100% 1
5 INSA LYONUMR5208 CAMILLE JORDAN 52018 0% 100% 1
6 MATH OPER 52018 0% 100% 1
7 TEAM PROJECT SIMPAF INRIA FUTU 52018 0% 100% 1
8 UNITE MATH PU PLIQUEE 52018 0% 100% 1
9 URA 0305 52018 0% 100% 1
10 UMR 5466 32901 2% 7% 9

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 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 39709 7% 2% 43
2 JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS 27603 2% 4% 14
3 STUDIES IN APPLIED MATHEMATICS 22721 4% 2% 22
4 ASYMPTOTIC ANALYSIS 8605 2% 1% 14
5 JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 8421 3% 1% 15
6 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 5868 5% 0% 31
7 CHINESE ANNALS OF MATHEMATICS SERIES B 5226 2% 1% 13
8 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 3980 2% 1% 14
9 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 3592 3% 0% 16
10 ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE 3591 1% 1% 8

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 NONLINEAR GEOMETRIC OPTICS 731503 3% 94% 15 Search NONLINEAR+GEOMETRIC+OPTICS Search NONLINEAR+GEOMETRIC+OPTICS
2 IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS 312109 1% 100% 6 Search IDEAL+COMPRESSIBLE+MAGNETOHYDRODYNAMICS Search IDEAL+COMPRESSIBLE+MAGNETOHYDRODYNAMICS
3 PLASMA VACUUM INTERFACE 283207 1% 78% 7 Search PLASMA+VACUUM+INTERFACE Search PLASMA+VACUUM+INTERFACE
4 CHARACTERISTIC BOUNDARY 247843 2% 53% 9 Search CHARACTERISTIC+BOUNDARY Search CHARACTERISTIC+BOUNDARY
5 SYMMETRIC HYPERBOLIC SYSTEMS 166448 1% 40% 8 Search SYMMETRIC+HYPERBOLIC+SYSTEMS Search SYMMETRIC+HYPERBOLIC+SYSTEMS
6 CHARACTERISTIC FREE BOUNDARY 156054 1% 100% 3 Search CHARACTERISTIC+FREE+BOUNDARY Search CHARACTERISTIC+FREE+BOUNDARY
7 CONORMAL WAVES 156054 1% 100% 3 Search CONORMAL+WAVES Search CONORMAL+WAVES
8 ELLIPTIC SYSTEM OF VON KARMAN TYPE 156054 1% 100% 3 Search ELLIPTIC+SYSTEM+OF+VON+KARMAN+TYPE Search ELLIPTIC+SYSTEM+OF+VON+KARMAN+TYPE
9 LOSS OF DERIVATIVES 144044 1% 46% 6 Search LOSS+OF+DERIVATIVES Search LOSS+OF+DERIVATIVES
10 BURGER AND EULER EQUATIONS 104036 0% 100% 2 Search BURGER+AND+EULER+EQUATIONS Search BURGER+AND+EULER+EQUATIONS

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 COULOMBEL, JF , GUES, O , WILLIAMS, M , (2014) SEMILINEAR GEOMETRIC OPTICS WITH BOUNDARY AMPLIFICATION.ANALYSIS & PDE. VOL. 7. ISSUE 3. P. 551 -625 16 100% 1
2 MORANDO, A , SECCHI, P , TREBESCHI, P , (2014) ON A PRIORI ENERGY ESTIMATES FOR CHARACTERISTIC BOUNDARY VALUE PROBLEMS.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. VOL. 20. ISSUE 4. P. 816 -864 16 100% 0
3 COULOMBEL, JF , WILLIAMS, M , (2014) AMPLIFICATION OF PULSES IN NONLINEAR GEOMETRIC OPTICS.JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS. VOL. 11. ISSUE 4. P. 749 -793 16 100% 0
4 CATANIA, D , D'ABBICCO, M , SECCHI, P , (2014) STABILITY OF THE LINEARIZED MHD-MAXWELL FREE INTERFACE PROBLEM.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 13. ISSUE 6. P. 2407 -2443 18 86% 1
5 SECCHI, P , (2015) NONLINEAR SURFACE WAVES ON THE PLASMA-VACUUM INTERFACE.QUARTERLY OF APPLIED MATHEMATICS. VOL. 73. ISSUE 4. P. 711 -737 16 94% 0
6 MORANDO, A , TRAKHININ, Y , TREBESCHI, P , (2016) ON LOCAL EXISTENCE OF MHD CONTACT DISCONTINUITIES.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S. VOL. 9. ISSUE 1. P. 289 -313 18 78% 0
7 MORANDO, A , SECCHI, P , TREBESCHI, P , (2009) REGULARITY OF SOLUTIONS TO CHARACTERISTIC INITIAL-BOUNDARY VALUE PROBLEMS FOR SYMMETRIZABLE SYSTEMS.JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS. VOL. 6. ISSUE 4. P. 753-808 20 77% 2
8 COULOMBEL, JF , WILLIAMS, M , (2013) NONLINEAR GEOMETRIC OPTICS FOR REFLECTING UNIFORMLY STABLE PULSES.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 255. ISSUE 7. P. 1939-1987 14 100% 0
9 CATANIA, D , D'ABBICCO, M , SECCHI, P , (2016) WEAK STABILITY OF THE PLASMA-VACUUM INTERFACE PROBLEM.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 261. ISSUE 6. P. 3169 -3219 13 100% 0
10 TRAKHININ, Y , (2005) EXISTENCE OF COMPRESSIBLE CURRENT-VORTEX SHEETS: VARIABLE COEFFICIENTS LINEAR ANALYSIS.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 177. ISSUE 3. P. 331-366 19 86% 22

Classes with closest relation at Level 1


Rank Class id link
1 16726 VORTEX SHEET//MUSKAT PROBLEM//CURVATURE SINGULARITY
2 13205 DELTA SHOCK WAVE//TRANSONIC SHOCK//DELTA SHOCKS
3 14226 P EVOLUTION EQUATIONS//JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY//GEVREY WELL POSEDNESS
4 26692 PROJET ANAL FONCTIONNELLE//FUNCTIONS OF BOUNDED P VARIATION//FACTORISATION INEQUALITY
5 7290 QUASILINEAR HYPERBOLIC SYSTEM//LINEAR DEGENERACY//QUASILINEAR HYPERBOLIC SYSTEM OF CONSERVATION LAWS
6 23929 NONLINEAR SURFACE ACOUSTIC WAVES//LIGHT DIFFRACTION METHOD//SURFACE ACOUSTIC SOLITON
7 15111 PRIMITIVE EQUATIONS//SCI COMP PL MATH//PL MATH SCI COMP
8 7764 EVANS FUNCTION//VISCOUS CONSERVATION LAWS//RAREFACTION WAVE
9 17138 MAGNETOGASDYNAMICS//NON IDEAL GAS//DUSTY GAS
10 17300 EULER POISSON EQUATIONS//EULER POISSON SYSTEM//QUASI NEUTRAL LIMIT

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