Class information for:
Level 1: BOUSSINESQ SYSTEM//DISSIPATIVE NONLINEAR EVOLUTION EQUATION//KORTEWEG DE VRIES EQUATION

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
18001 571 22.5 45%



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
1160 2             STRICHARTZ ESTIMATES//GLOBAL EXISTENCE//BLOW UP 9464
18001 1                   BOUSSINESQ SYSTEM//DISSIPATIVE NONLINEAR EVOLUTION EQUATION//KORTEWEG DE VRIES EQUATION 571

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 BOUSSINESQ SYSTEM authKW 753267 6% 39% 36
2 DISSIPATIVE NONLINEAR EVOLUTION EQUATION authKW 513363 2% 80% 12
3 KORTEWEG DE VRIES EQUATION authKW 359566 9% 14% 49
4 LARGE TIME ASYMPTOTICS authKW 275950 3% 30% 17
5 NONLINEAR DISPERSIVE WAVE EQUATIONS authKW 238205 1% 64% 7
6 KORTEWEG DE VRIES BURGERS EQUATION authKW 223110 2% 38% 11
7 AGENCIA UEM address 222814 1% 83% 5
8 KAWAHARA EQUATION authKW 196447 2% 28% 13
9 GENERALIZED KORTEWEG DE VRIES BURGERS EQUATION authKW 190982 1% 71% 5
10 ZAKHAROV KUZNETSOV EQUATION authKW 170498 2% 25% 13

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 14016 62% 0% 352
2 Mathematics 9076 54% 0% 310
3 Physics, Mathematical 350 8% 0% 43
4 Automation & Control Systems 254 5% 0% 27
5 Mechanics 117 6% 0% 34
6 Multidisciplinary Sciences 56 2% 0% 11
7 Physics, Multidisciplinary 36 5% 0% 31
8 Mathematics, Interdisciplinary Applications 13 2% 0% 9
9 Computer Science, Software Engineering 12 2% 0% 9
10 Physics, Fluids & Plasmas 4 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 AGENCIA UEM 222814 1% 83% 5
2 UMR UHP 7502 96254 1% 60% 3
3 UMR MATH 93572 1% 25% 7
4 AGCY UEM 53476 0% 100% 1
5 AMIENOIS MATH FONDAMENTALE PL AMIENS 53476 0% 100% 1
6 ANAL MATH PLUPEMLVUMR 8050 53476 0% 100% 1
7 DEMAT CEFET MARACANA 53476 0% 100% 1
8 ELIE CARTONUMR 7502 53476 0% 100% 1
9 FED TECHNOL EDUC CELSO SUCKOW DA FONSECA 53476 0% 100% 1
10 FIS MTEMAT 53476 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 ADVANCES IN DIFFERENTIAL EQUATIONS 12929 2% 2% 10
2 DIFFERENTIAL AND INTEGRAL EQUATIONS 11666 2% 2% 13
3 MATHEMATICAL CONTROL AND RELATED FIELDS 5773 1% 3% 4
4 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 5765 3% 1% 19
5 JOURNAL OF DIFFERENTIAL EQUATIONS 5383 5% 0% 27
6 DIFFERENTIAL EQUATIONS 5148 3% 1% 19
7 COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 4738 1% 1% 8
8 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 3443 5% 0% 28
9 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 2926 2% 0% 13
10 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 2512 2% 1% 9

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 BOUSSINESQ SYSTEM 753267 6% 39% 36 Search BOUSSINESQ+SYSTEM Search BOUSSINESQ+SYSTEM
2 DISSIPATIVE NONLINEAR EVOLUTION EQUATION 513363 2% 80% 12 Search DISSIPATIVE+NONLINEAR+EVOLUTION+EQUATION Search DISSIPATIVE+NONLINEAR+EVOLUTION+EQUATION
3 KORTEWEG DE VRIES EQUATION 359566 9% 14% 49 Search KORTEWEG+DE+VRIES+EQUATION Search KORTEWEG+DE+VRIES+EQUATION
4 LARGE TIME ASYMPTOTICS 275950 3% 30% 17 Search LARGE+TIME+ASYMPTOTICS Search LARGE+TIME+ASYMPTOTICS
5 NONLINEAR DISPERSIVE WAVE EQUATIONS 238205 1% 64% 7 Search NONLINEAR+DISPERSIVE+WAVE+EQUATIONS Search NONLINEAR+DISPERSIVE+WAVE+EQUATIONS
6 KORTEWEG DE VRIES BURGERS EQUATION 223110 2% 38% 11 Search KORTEWEG+DE+VRIES+BURGERS+EQUATION Search KORTEWEG+DE+VRIES+BURGERS+EQUATION
7 KAWAHARA EQUATION 196447 2% 28% 13 Search KAWAHARA+EQUATION Search KAWAHARA+EQUATION
8 GENERALIZED KORTEWEG DE VRIES BURGERS EQUATION 190982 1% 71% 5 Search GENERALIZED+KORTEWEG+DE+VRIES+BURGERS+EQUATION Search GENERALIZED+KORTEWEG+DE+VRIES+BURGERS+EQUATION
9 ZAKHAROV KUZNETSOV EQUATION 170498 2% 25% 13 Search ZAKHAROV+KUZNETSOV+EQUATION Search ZAKHAROV+KUZNETSOV+EQUATION
10 BBM EQUATION 167385 2% 26% 12 Search BBM+EQUATION Search BBM+EQUATION

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 LARKIN, NA , SIMOES, MH , (2016) GLOBAL REGULAR SOLUTIONS FOR THE 3D KAWAHARA EQUATION POSED ON UNBOUNDED DOMAINS.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. VOL. 67. ISSUE 4. P. - 29 91% 0
2 CHU, JX , CORON, JM , SHANG, PP , (2015) ASYMPTOTIC STABILITY OF A NONLINEAR KORTEWEG-DE VRIES EQUATION WITH CRITICAL LENGTHS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 259. ISSUE 8. P. 4045 -4085 25 89% 0
3 KRAMER, E , RIVAS, I , ZHANG, BY , (2013) WELL-POSEDNESS OF A CLASS OF NON-HOMOGENEOUS BOUNDARY VALUE PROBLEMS OF THE KORTEWEG-DE VRIES EQUATION ON A FINITE DOMAIN.ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. VOL. 19. ISSUE 2. P. 358-384 27 82% 1
4 NINA, D , PAZOTO, AF , ROSIER, L , (2013) CONTROLLABILITY OF A 1-D TANK CONTAINING A FLUID MODELED BY A BOUSSINESQ SYSTEM.EVOLUTION EQUATIONS AND CONTROL THEORY. VOL. 2. ISSUE 2. P. 379 -402 24 80% 0
5 LARKIN, NA , (2015) KAWAHARA-BURGERS EQUATION ON A STRIP.ADVANCES IN MATHEMATICAL PHYSICS. VOL. . ISSUE . P. - 24 75% 1
6 ROSIER, L , ZHANG, BY , (2009) CONTROL AND STABILIZATION OF THE KORTEWEG-DE VRIES EQUATION: RECENT PROGRESSES.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY. VOL. 22. ISSUE 4. P. 647 -682 27 73% 26
7 LARKIN, NA , (2013) EXPONENTIAL DECAY OF THE H-1-NORM FOR THE 2D ZAKHAROV-KUZNETSOV EQUATION ON A HALF-STRIP.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 405. ISSUE 1. P. 326-335 19 95% 5
8 LARKIN, NA , (2015) GLOBAL REGULAR SOLUTIONS FOR THE 3D ZAKHAROV-KUZNETSOV EQUATION POSED ON UNBOUNDED DOMAINS.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 56. ISSUE 9. P. - 19 90% 1
9 PAZOTO, AF , SOUZA, GR , (2013) WELL-POSEDNESS AND STABILIZATION OF A MODEL SYSTEM FOR LONG WAVES POSED ON A QUARTER PLANE.ADVANCES IN DIFFERENTIAL EQUATIONS. VOL. 18. ISSUE 11-12. P. 1165-1188 20 91% 0
10 LARKIN, NA , (2014) THE 2D KAWAHARA EQUATION ON A HALF-STRIP.APPLIED MATHEMATICS AND OPTIMIZATION. VOL. 70. ISSUE 3. P. 443 -468 19 90% 2

Classes with closest relation at Level 1



Rank Class id link
1 18752 GLOBAL RELATION//RIEMANN HILBERT PROBLEM//RIEMANN HILBERT PROBLEMS
2 23840 DOUBLE DISPERSION EQUATION//DAMPED BOUSSINESQ EQUATION//BOUSSINESQ EQUATION
3 1330 STRICHARTZ ESTIMATES//NONLINEAR SCHRODINGER EQUATION//GLOBAL WELL POSEDNESS
4 10806 DISPERSIVE ESTIMATES//NON FREDHOLM OPERATORS//ORBITAL STABILITY
5 21504 NONLOCAL NLS EQUATION//ALGEBRAIC ROSSBY SOLITARY WAVES//INTERFACIAL INTERNAL WAVES
6 10618 MULTI SYMPLECTIC//RLW EQUATION//MULTI SYMPLECTIC SCHEME
7 16726 VORTEX SHEET//MUSKAT PROBLEM//CURVATURE SINGULARITY
8 4237 CARLEMAN ESTIMATES//NULL CONTROLLABILITY//CARLEMAN INEQUALITIES
9 7592 VERY SINGULAR SOLUTION//FAST DIFFUSION//POROUS MEDIUM EQUATION
10 14499 KURAMOTO SIVASHINSKY EQUATION//INCREMENTAL UNKNOWNS//INERTIAL MANIFOLDS

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