Class information for:
Level 1: STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS//STOCHASTIC NAVIER STOKES EQUATIONS//STOCHASTIC WAVE EQUATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
6796 1443 23.4 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
383 3       STATISTICS & PROBABILITY//ANNALS OF PROBABILITY//STOCHASTIC PROCESSES AND THEIR APPLICATIONS 31557
499 2             FRACTIONAL BROWNIAN MOTION//ANNALS OF PROBABILITY//LOCAL TIME 15343
6796 1                   STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS//STOCHASTIC NAVIER STOKES EQUATIONS//STOCHASTIC WAVE EQUATION 1443

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 STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS authKW 1961767 18% 36% 260
2 STOCHASTIC NAVIER STOKES EQUATIONS authKW 1130788 5% 74% 72
3 STOCHASTIC WAVE EQUATION authKW 761713 3% 75% 48
4 SPACE TIME WHITE NOISE authKW 480934 2% 78% 29
5 STOCHASTIC HEAT EQUATION authKW 395165 3% 46% 41
6 MARTINGALE SOLUTION authKW 274215 1% 72% 18
7 STOCHASTIC POROUS MEDIUM EQUATION authKW 234379 1% 92% 12
8 INVARIANT MEASURE authKW 225091 7% 11% 94
9 STOCHASTIC PDES authKW 166266 2% 27% 29
10 SOBOLEV SPACES WITH WEIGHTS authKW 155806 1% 82% 9

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 Statistics & Probability 28036 34% 0% 491
2 Mathematics, Applied 18690 45% 0% 652
3 Mathematics 9495 36% 0% 513
4 Physics, Mathematical 1613 10% 0% 143
5 Mathematics, Interdisciplinary Applications 16 1% 0% 18
6 Mechanics 3 2% 0% 23
7 Logic 2 0% 0% 2
8 Computer Science, Software Engineering 2 1% 0% 11
9 Operations Research & Management Science 0 1% 0% 8
10 Physics, Fluids & Plasmas -0 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 DIPARTMENTO MATEMAT PLICATA 63478 0% 100% 3
2 ANTENNE BRETAGNE 52883 1% 25% 10
3 DECIS RISK CONTROLS SIGNALS INTELLIGENCE DR 42319 0% 100% 2
4 DIP MATEMAT DECIS 42319 0% 100% 2
5 OPTIMIERUNG STOCHAST 37778 0% 36% 5
6 URA 225 31736 0% 50% 3
7 OCTAV MAYER MATH 29361 1% 9% 15
8 EDP ORSAY 28211 0% 67% 2
9 MATH BIBOS 28211 0% 67% 2
10 COMPARAT CULTURE 26257 0% 21% 6

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 ABEL SYMPOSIA 53284 4% 5% 51
2 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 45024 6% 3% 85
3 POTENTIAL ANALYSIS 40839 3% 4% 44
4 STOCHASTICS AND DYNAMICS 40015 2% 7% 27
5 PROBABILITY THEORY AND RELATED FIELDS 32688 4% 3% 60
6 ANNALS OF PROBABILITY 22887 4% 2% 59
7 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 21078 2% 4% 25
8 ELECTRONIC JOURNAL OF PROBABILITY 21036 2% 3% 32
9 APPLIED MATHEMATICS AND OPTIMIZATION 13769 2% 2% 27
10 STOCHASTIC ANALYSIS AND APPLICATIONS 10406 1% 3% 16

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 STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS 1961767 18% 36% 260 Search STOCHASTIC+PARTIAL+DIFFERENTIAL+EQUATIONS Search STOCHASTIC+PARTIAL+DIFFERENTIAL+EQUATIONS
2 STOCHASTIC NAVIER STOKES EQUATIONS 1130788 5% 74% 72 Search STOCHASTIC+NAVIER+STOKES+EQUATIONS Search STOCHASTIC+NAVIER+STOKES+EQUATIONS
3 STOCHASTIC WAVE EQUATION 761713 3% 75% 48 Search STOCHASTIC+WAVE+EQUATION Search STOCHASTIC+WAVE+EQUATION
4 SPACE TIME WHITE NOISE 480934 2% 78% 29 Search SPACE+TIME+WHITE+NOISE Search SPACE+TIME+WHITE+NOISE
5 STOCHASTIC HEAT EQUATION 395165 3% 46% 41 Search STOCHASTIC+HEAT+EQUATION Search STOCHASTIC+HEAT+EQUATION
6 MARTINGALE SOLUTION 274215 1% 72% 18 Search MARTINGALE+SOLUTION Search MARTINGALE+SOLUTION
7 STOCHASTIC POROUS MEDIUM EQUATION 234379 1% 92% 12 Search STOCHASTIC+POROUS+MEDIUM+EQUATION Search STOCHASTIC+POROUS+MEDIUM+EQUATION
8 INVARIANT MEASURE 225091 7% 11% 94 Search INVARIANT+MEASURE Search INVARIANT+MEASURE
9 STOCHASTIC PDES 166266 2% 27% 29 Search STOCHASTIC+PDES Search STOCHASTIC+PDES
10 SOBOLEV SPACES WITH WEIGHTS 155806 1% 82% 9 Search SOBOLEV+SPACES+WITH+WEIGHTS Search SOBOLEV+SPACES+WITH+WEIGHTS

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 DEBUSSCHE, A , (2013) ERGODICITY RESULTS FOR THE STOCHASTIC NAVIER-STOKES EQUATIONS: AN INTRODUCTION.TOPICS IN MATHEMATICAL FLUID MECHANICS, CETRARO, ITALY 2010. VOL. 2073. ISSUE . P. 23 -108 47 96% 6
2 JENTZEN, A , (2011) HIGHER ORDER PATHWISE NUMERICAL APPROXIMATIONS OF SPDES WITH ADDITIVE NOISE.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 49. ISSUE 2. P. 642 -667 51 81% 12
3 JENTZEN, A , ROCKNER, M , (2015) A MILSTEIN SCHEME FOR SPDES.FOUNDATIONS OF COMPUTATIONAL MATHEMATICS. VOL. 15. ISSUE 2. P. 313 -362 41 82% 0
4 BRZEZNIAK, Z , LIU, W , ZHU, JH , (2014) STRONG SOLUTIONS FOR SPDE WITH LOCALLY MONOTONE COEFFICIENTS DRIVEN BY LEVY NOISE.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 17. ISSUE . P. 283 -310 32 97% 7
5 ROMITO, M , (2014) UNIQUENESS AND BLOW-UP FOR A STOCHASTIC VISCOUS DYADIC MODEL.PROBABILITY THEORY AND RELATED FIELDS. VOL. 158. ISSUE 3-4. P. 895 -924 30 94% 0
6 ZHAI, JL , ZHANG, TS , (2015) LARGE DEVIATIONS FOR 2-D STOCHASTIC NAVIER-STOKES EQUATIONS DRIVEN BY MULTIPLICATIVE LEVY NOISES.BERNOULLI. VOL. 21. ISSUE 4. P. 2351 -2392 27 96% 0
7 FLANDOLI, F , (2008) AN INTRODUCTION TO 3D STOCHASTIC FLUID DYNAMICS.SPDE IN HYDRODYNAMIC: RECENT PROGRESS AND PROSPECTS. VOL. 1942. ISSUE . P. 51 -150 33 85% 33
8 FLANDOLI, F , (2011) RANDOM PERTURBATION OF PDES AND FLUID DYNAMIC MODELS.RANDOM PERTURBATION OF PDES AND FLUID DYNAMIC MODELS. VOL. 2015. ISSUE . P. 1 -+ 56 47% 13
9 JENTZEN, A , KLOEDEN, PE , (2009) THE NUMERICAL APPROXIMATION OF STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS.MILAN JOURNAL OF MATHEMATICS. VOL. 77. ISSUE 1. P. 205 -244 41 62% 45
10 WANG, XJ , (2015) AN EXPONENTIAL INTEGRATOR SCHEME FOR TIME DISCRETIZATION OF NONLINEAR STOCHASTIC WAVE EQUATION.JOURNAL OF SCIENTIFIC COMPUTING. VOL. 64. ISSUE 1. P. 234 -263 23 100% 2

Classes with closest relation at Level 1


Rank Class id link
1 14379 UNBOUNDED COEFFICIENTS//DIPARTIMENTO MATEMAT ENNIO DE GIORGI//TRANSITION SEMIGROUP
2 28764 MULTIVALUED STOCHASTIC DIFFERENTIAL EQUATION//REFLECTED STOCHASTIC DIFFERENTIAL EQUATION//MEAN DERIVATIVES
3 20111 STOCHASTIC FLOWS//ISOTROPIC BROWNIAN FLOW//REGULAR LAGRANGIAN FLOWS
4 6109 FRACTIONAL BROWNIAN MOTION//ROUGH PATHS//MALLIAVIN CALCULUS
5 25862 AVERAGING PRINCIPLE//GLUING CONDITIONS//ERGODIC AND STRONGLY MIXING PROCESSES
6 9797 SUPERPROCESS//SUPER BROWNIAN MOTION//BRANCHING PARTICLE SYSTEM
7 10405 STOCHASTIC DIFFERENTIAL EQUATIONS//MEAN SQUARE STABILITY//STOCHASTIC RUNGE KUTTA METHOD
8 8902 MALLIAVIN CALCULUS//SKOROHOD INTEGRAL//QUASI SURE CONVERGENCE
9 29587 HERMITE TRANSFORM//HERMITE TRANSFORMATION//WICK TYPE STOCHASTIC EQUATION
10 4698 PULLBACK ATTRACTOR//GLOBAL ATTRACTOR//RANDOM ATTRACTOR

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