Class information for:
Level 1: VORTEX SHEET//MUSKAT PROBLEM//CURVATURE SINGULARITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16726 639 23.4 51%


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
16726 1                   VORTEX SHEET//MUSKAT PROBLEM//CURVATURE SINGULARITY 639

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 VORTEX SHEET authKW 769576 6% 44% 37
2 MUSKAT PROBLEM authKW 203875 1% 53% 8
3 CURVATURE SINGULARITY authKW 191136 1% 67% 6
4 IDEAL FLOW authKW 180106 1% 54% 7
5 WATER WAVES authKW 170819 7% 8% 43
6 DIRICHLET NEUMANN OPERATOR authKW 152902 1% 40% 8
7 INCOMPRESSIBLE EULER authKW 107515 0% 75% 3
8 ONSAGER CONJECTURE authKW 107515 0% 75% 3
9 TWO DIMENSIONAL INCOMPRESSIBLE FLOW authKW 107515 0% 75% 3
10 3 D AXISYMMETRIC EULER EQUATIONS authKW 95570 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, Applied 10499 51% 0% 324
2 Mathematics 5852 42% 0% 266
3 Physics, Mathematical 2486 18% 0% 114
4 Mechanics 1343 17% 0% 106
5 Physics, Fluids & Plasmas 1046 10% 0% 66
6 Computer Science, Interdisciplinary Applications 195 5% 0% 34
7 Mathematics, Interdisciplinary Applications 51 3% 0% 16
8 Physics, Multidisciplinary 13 4% 0% 25
9 Engineering, Aerospace 9 1% 0% 5
10 Engineering, General 5 1% 0% 8

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 ANAL DYNAM MODELLIERUNG 90520 2% 16% 12
2 IADM 69500 1% 36% 4
3 ARTS SCI TECHNOL UNIV LEBANON AUL 47785 0% 100% 1
4 CNRSSORBONNE UNIVSORBONNE PARIS CITEUMR 7586 47785 0% 100% 1
5 ENGN CCSE 47785 0% 100% 1
6 JOINT UNIT EDF RDECOLE PONTS 47785 0% 100% 1
7 MATEMAT LICADA ESTADIST INV OPERAT 47785 0% 100% 1
8 MATH 77 47785 0% 100% 1
9 MATH JESSIEU PARIS RIVE GAUCHEUMR CNRS 7586 47785 0% 100% 1
10 SORBONNE PARIS CITE MATH JUSSIEU PARIS RIVE 47785 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 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 26888 5% 2% 30
2 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 12646 4% 1% 26
3 COMMUNICATIONS IN MATHEMATICAL PHYSICS 7158 5% 0% 35
4 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 7099 3% 1% 19
5 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 6833 4% 1% 23
6 JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS 6332 1% 2% 7
7 NONLINEARITY 5282 3% 1% 19
8 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 4683 2% 1% 11
9 COMMUNICATIONS IN MATHEMATICAL SCIENCES 3247 1% 1% 7
10 JOURNAL OF DIFFERENTIAL EQUATIONS 2897 3% 0% 21

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 VORTEX SHEET 769576 6% 44% 37 Search VORTEX+SHEET Search VORTEX+SHEET
2 MUSKAT PROBLEM 203875 1% 53% 8 Search MUSKAT+PROBLEM Search MUSKAT+PROBLEM
3 CURVATURE SINGULARITY 191136 1% 67% 6 Search CURVATURE+SINGULARITY Search CURVATURE+SINGULARITY
4 IDEAL FLOW 180106 1% 54% 7 Search IDEAL+FLOW Search IDEAL+FLOW
5 WATER WAVES 170819 7% 8% 43 Search WATER+WAVES Search WATER+WAVES
6 DIRICHLET NEUMANN OPERATOR 152902 1% 40% 8 Search DIRICHLET+NEUMANN+OPERATOR Search DIRICHLET+NEUMANN+OPERATOR
7 INCOMPRESSIBLE EULER 107515 0% 75% 3 Search INCOMPRESSIBLE+EULER Search INCOMPRESSIBLE+EULER
8 ONSAGER CONJECTURE 107515 0% 75% 3 Search ONSAGER+CONJECTURE Search ONSAGER+CONJECTURE
9 TWO DIMENSIONAL INCOMPRESSIBLE FLOW 107515 0% 75% 3 Search TWO+DIMENSIONAL+INCOMPRESSIBLE+FLOW Search TWO+DIMENSIONAL+INCOMPRESSIBLE+FLOW
10 3 D AXISYMMETRIC EULER EQUATIONS 95570 0% 100% 2 Search 3+D+AXISYMMETRIC+EULER+EQUATIONS Search 3+D+AXISYMMETRIC+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 LANNES, D , (2013) A STABILITY CRITERION FOR TWO-FLUID INTERFACES AND APPLICATIONS.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 208. ISSUE 2. P. 481 -567 39 75% 17
2 FEFFERMAN, C , IONESCU, AD , LIE, V , (2016) ON THE ABSENCE OF SPLASH SINGULARITIES IN THE CASE OF TWO-FLUID INTERFACES.DUKE MATHEMATICAL JOURNAL. VOL. 165. ISSUE 3. P. 417 -462 30 100% 0
3 CASTRO, A , CORDOBA, D , FEFFERMAN, C , GANCEDO, F , GOMEZ-SERRANO, J , (2013) FINITE TIME SINGULARITIES FOR THE FREE BOUNDARY INCOMPRESSIBLE EULER EQUATIONS.ANNALS OF MATHEMATICS. VOL. 178. ISSUE 3. P. 1061-1134 28 100% 10
4 DULL, WP , SCHNEIDER, G , WAYNE, CE , (2016) JUSTIFICATION OF THE NONLINEAR SCHRODINGER EQUATION FOR THE EVOLUTION OF GRAVITY DRIVEN 2D SURFACE WATER WAVES IN A CANAL OF FINITE DEPTH.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 220. ISSUE 2. P. 543 -602 26 96% 1
5 COUTAND, D , SHKOLLER, S , (2016) ON THE IMPOSSIBILITY OF FINITE-TIME SPLASH SINGULARITIES FOR VORTEX SHEETS.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 221. ISSUE 2. P. 987 -1033 26 96% 0
6 ALAZARD, T , DELORT, JM , (2015) SOBOLEV ESTIMATES FOR TWO DIMENSIONAL GRAVITY WATER WAVES.ASTERISQUE. VOL. . ISSUE 374. P. 1 -+ 38 67% 0
7 ALAZARD, T , DELORT, JM , (2015) GLOBAL SOLUTIONS AND ASYMPTOTIC BEHAVIOR FOR TWO DIMENSIONAL GRAVITY WATER WAVES.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. VOL. 48. ISSUE 5. P. 1149 -1238 34 71% 2
8 CASTRO, A , LANNES, D , (2015) WELL-POSEDNESS AND SHALLOW-WATER STABILITY FOR A NEW HAMILTONIAN FORMULATION OF THE WATER WAVES EQUATIONS WITH VORTICITY.INDIANA UNIVERSITY MATHEMATICS JOURNAL. VOL. 64. ISSUE 4. P. 1169 -1270 35 69% 1
9 AMBROSE, DM , MASMOUDI, N , (2007) WELL-POSEDNESS OF 3D VORTEX SHEETS WITH SURFACE TENSION.COMMUNICATIONS IN MATHEMATICAL SCIENCES. VOL. 5. ISSUE 2. P. 391-430 28 97% 21
10 IGNATOVA, M , KUKAVICA, I , (2016) ON THE LOCAL EXISTENCE OF THE FREE-SURFACE EULER EQUATION WITH SURFACE TENSION.ASYMPTOTIC ANALYSIS. VOL. 100. ISSUE 1-2. P. 63 -86 28 76% 0

Classes with closest relation at Level 1


Rank Class id link
1 14155 VORTEX METHOD//VORTEX IN CELL//FLUID IMPULSE
2 20585 MAXIMAL L P L Q REGULARITY//DEGENERATE BOUNDARY CONDITION//BABUSKAS PARADOX
3 8017 WATER WAVES//CAPILLARY GRAVITY WAVES//CONSTANT VORTICITY
4 17690 NONLINEAR GEOMETRIC OPTICS//IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS//PLASMA VACUUM INTERFACE
5 22105 RENORMALIZATION GROUP METHOD//INCLINED FILM FLOW//AMPLITUDE EQUATION
6 986 REGULARITY CRITERION//REGULARITY CRITERIA//NAVIER STOKES EQUATIONS
7 18001 BOUSSINESQ SYSTEM//DISSIPATIVE NONLINEAR EVOLUTION EQUATION//KORTEWEG DE VRIES EQUATION
8 31607 NON LOCAL HAMILTONIAN FIELD THEORY//CONLEY MOSER CONDITION//COULOMBIAN AND NEWTONIAN FLUIDS
9 22480 APPROXIMATE DECONVOLUTION//NS ALPHA//SCOTT VOGELIUS ELEMENTS
10 17300 EULER POISSON EQUATIONS//EULER POISSON SYSTEM//QUASI NEUTRAL LIMIT

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