Mathematics
Euler Equation
100%
Navier-Stokes Equation
98%
Weak Solution
51%
Initial Datum
49%
Bounded Domain
40%
Global Existence
39%
Lagrangian
37%
Classical Solution
25%
Strong Solution
25%
Upper Bound
24%
Dirichlet Boundary Condition
24%
Scalar
23%
Asymptotics
23%
Spatial Dimension
22%
Laplace Operator
20%
Reynolds Number
17%
Energy Spectra
17%
Finite Time
16%
Energy Dissipation
15%
Partial Differential Equation
15%
Posedness
14%
Numerical Computation
14%
Velocity Field
14%
Sufficient Condition
12%
Fokker Planck Equation
12%
Wave Number
12%
Manifold
12%
Stochastics
12%
Fluid Velocity
12%
Length Scale
12%
Phase Space
12%
Asymptotic Behavior
12%
Boundary Condition
12%
Heat Transport
10%
Traveling Wave
10%
Degree of Freedom
10%
Evolution Equation
10%
Gevrey Class
10%
Critical Surface
10%
Distribution Function
10%
Structure Function
10%
Regularity Property
10%
Analyticity
9%
Continuous Solution
9%
Rayleigh
8%
Time Average
8%
Nonlinearities
8%
Dimensional Model
7%
Viscous Fluid
7%
Independent Solution
7%
Square Root
7%
Slip Boundary Condition
7%
time interval τ
7%
Fractional Laplacian
7%
Stokes Equation
7%
Dirichlet Quotient
7%
Liouville Type
7%
Cauchy Formula
7%
Fractal Dimension
6%
Simple Model
6%
Dissipation Rate
6%
Diffusion Equation
6%
Mathematics
6%
Analytic Function
6%
Open Problem
6%
Nonlocal Operator
6%
Invariant Manifold
6%
Conservation Law
6%
Newtonian Fluid
6%
Existence Result
5%
Lagrangian Representation
5%
Smooth Structure
5%
Priori Estimate
5%
State Solution
5%
Equilibrium Theory
5%
Lower and upper bounds
5%
Lagrangian Coordinate
5%
Dimensional System
5%
Infinite Time Limit
5%
Dimensional Case
5%
Apply It
5%
Fractal Geometry
5%
Sharp Estimate
5%
Bounded Set
5%
Covariance
5%
Elliptic System of Partial Differential Equations
5%
Blowing Up Solution
5%
Phase Portrait
5%
Countable Number
5%
Water System
5%
Matrix (Mathematics)
5%
Debye Length
5%
Rigidity
5%
Quadratic Form
5%
Global Lyapunov Exponent
5%
Level Set
5%
Unique Ergodicity
5%
Two Dimensions
5%
Geometric Theory
5%
Invertibility
5%
Keyphrases
Navier-Stokes Equations
43%
Euler Equations
37%
Three-dimensional (3D)
31%
Two Dimensional
30%
Eulerian-Lagrangian
25%
Global Regularity
23%
Weak Solution
23%
Incompressible Euler Equations
21%
Inviscid
18%
Surface Quasi-geostrophic Equation
15%
Bounded Domain
15%
Infinite Prandtl number
12%
Vortex Reconnection
12%
Classical Solution
12%
Smooth Solution
12%
Onsager's Conjecture
12%
2D Quasi-geostrophic Equation
11%
Shell Models of Turbulence
10%
Eulerian-Lagrangian Approach
10%
Magnetic Reconnection
10%
Variational Bounds
10%
Lagrangian Analysis
10%
Front Formation
10%
Smoluchowski Equation
10%
Lagrangian Formalism
10%
Vortex Patch
10%
Beltrami Flow
10%
Leonhard Euler
10%
Active Scalar
10%
Anomalous Dissipation
10%
Didactic Model
10%
Navier-Stokes Turbulence
10%
Strong Solution
10%
Quasi-geostrophic Flows
10%
Stochastic Lagrangian
10%
Two-dimensional Turbulence
10%
Hydrodynamic Model
10%
Energy Dissipation
10%
Scaling Exponent
10%
Generalized Relative Entropy
10%
Quasi-geostrophic Equation
10%
Continuous Solution
10%
Magnetohydrodynamic Equations
10%
NavierStokes Equations
8%
Global-in-time
8%
Nonlinearity
8%
Sabra
7%
Type I Singularity
7%
Dirichlet Laplacian
7%
Nonlinear Fokker-Planck Equation
7%
Equation-based
7%
Global Existence
7%
Global-in-time Existence
7%
SQG Equation
7%
Generalized Structure Function
7%
Weber
7%
Dirichlet
7%
Regularity of Solutions
6%
Scalar
6%
In(III)
6%
2D Boussinesq Equations
6%
Global Existence of Weak Solutions
6%
Energy Conservation
6%
Vanishing Viscosity Limit
6%
Vorticity Equation
6%
Nonlocal Operators
6%
Nonlinear Maximum Principle
6%
Yudovich
6%
Simple Proof
6%
Blow-up Solutions
6%
Vorticity
5%
Yudovich Solution
5%
Variational Problem
5%
Analytic Study
5%
High Weissenberg number
5%
Oldroyd-B Model
5%
Hele-Shaw Model
5%
Systems Far from Equilibrium
5%
Stationary Statistical Solutions
5%
Long Time Average
5%
Magnetohydrostatics
5%
Axisymmetric Solutions
5%
Local Formula
5%
Blowing
5%
Self-organized Dynamics
5%
Inertial Manifolds
5%
Incompressible Fluid
5%
Blue Gene
5%
Application Framework
5%
Terascale
5%
Galerkin Approximation
5%
L-system
5%
Kinematic Relations
5%
Type I Blow-up
5%
Existence of Strong Solutions
5%
Local Strong Solutions
5%
Local Theory
5%
Numerical Results
5%
Periodic Strips
5%
Complex Fluids
5%
Engineering
Navier-Stokes Equation
37%
Euler Equation
35%
Boussinesq's Hypothesis
16%
Two Dimensional
15%
Energy Dissipation
15%
Initial Data
13%
Incompressible Fluid
12%
Newtonian Fluid
12%
Burning Rate
11%
Steady Solution
10%
Degree of Freedom
10%
Singularities
10%
Lagrangian Approach
10%
Vortex
10%
Incompressible Flow
10%
High Reynolds Number
10%
Rayleigh Number
8%
Advection
8%
Liouville
7%
Heat Transport
7%
Energy Dissipation Rate
7%
Hydrodynamics
7%
Interaction Potential
7%
Convective
6%
Analyticity
6%
Shear Flow
6%
Nusselt Number
6%
Flow Field
5%
Wave Number
5%
Rigidity
5%
Fluid Viscosity
5%
Numerical Methods
5%
Complex Fluid
5%
Finite Energy
5%
Electric Potential
5%
Function of Time
5%
Lagrangian Representation
5%
Pressure Gradient
5%
Boundary Condition
5%
Compressible Fluid
5%
Structure Function
5%
Geometric Constraint
5%
Dissipation Rate
5%
Maximum Principle
5%
Mass Transfer
5%
Smoluchowski Equation
5%
Lagrangian Formulation
5%
Velocity Profile
5%
Energy State
5%
Eulerian Method
5%
Fokker
5%
Forcing Function
5%
Level Set
5%
Rod
5%
Evanescent
5%
Vorticity Equation
5%
Euler-Lagrange Equation
5%
Fluid Flow
5%
Friction Coefficient
5%
Numerical Study
5%
Nonlinearity
5%
Hydrodynamic Model
5%
Fluid Model
5%
Channel Flow
5%
Diffusion Coefficient
5%
Finite Time
5%
Infinite Time
5%
Navier-Stokes System
5%
Diffusive
5%
