Keyphrases
Two Dimensional
74%
Domain Walls
70%
Traveling Wave
52%
Pattern Formation
43%
Reaction-diffusion Equations
40%
Traveling Wave Solutions
35%
Numerical Simulation
35%
Sharp Interface
33%
Boundary Integral Method
33%
Energy Functional
33%
Nonlocal Term
32%
Stray Field
32%
Energy Minimizers
32%
Stokes Flow
31%
Magnetization
31%
Ultrathin Ferromagnetic Films
31%
Cell Polarization
29%
Gray-Scott Model
29%
Autosolitons
29%
Surface Tension
29%
Ferromagnetic Thin Film
29%
Self-similarity
28%
Surfactant
28%
Micromagnetics
26%
Ignition
26%
Cell-cell Communication
26%
Morphogen Gradient
25%
Ultrathin
25%
Nonlinearity
25%
Volume Fraction
24%
Coulomb
24%
Reaction-diffusion System
24%
Skyrmion
24%
Infinite Cylinder
24%
Leading Order
24%
Easy Axis
23%
Liquid Hydrogen
23%
Mechanistic Model
23%
Minimal Energy
23%
Variational
23%
Propagation Speed
23%
Dzyaloshinskii-Moriya Interaction
22%
Isoperimetric Problem
21%
Soluble Surfactant
21%
Debye Layer
21%
Ferromagnetic Nanoring
21%
Semi-analytical Solution
21%
Well-posedness
21%
Coulomb Repulsion
20%
Initial Value Problem
20%
Sharp Threshold
18%
Euler-Lagrange Equation
18%
Ginzburg-Landau
18%
Egg Development
18%
Optimal Grids
18%
Liquid Drop Model
18%
Drosophilidae
18%
Bifurcation
17%
Micromagnetic Energy
17%
Transition Layer
17%
Ginzburg-Landau Model
17%
Ginzburg-Landau Free Energy
17%
Magnetic Skyrmions
16%
Feedback Loop
16%
Limit Cycle
15%
Epithelial Layer
15%
Scalar
15%
Interfacial Flows
15%
Dipolar Interaction
15%
Global Energy
15%
Small Droplets
14%
Nonlocal Isoperimetric Problem
14%
Dipolar Repulsion
14%
Ohta-Kawasaki
14%
Propellant Tank
14%
Signal Transmission
14%
Monotone
14%
Spontaneous Symmetry Breaking
14%
Autocrine Signaling
14%
Charge Density
14%
Unstable Equilibrium
14%
Nonlinear Reaction-diffusion Equations
14%
Nonlinear Absorption
14%
Finite-time Singularity Formation
14%
Oxyhydrogen
14%
Self-induced Stochastic Resonance
14%
Eggshell
14%
Singular Limit
14%
Epithelial Patterning
14%
Perpendicular Anisotropy
14%
Global Existence
14%
Spatial Dimension
14%
Threshold Phenomenon
14%
Geometric Variational Problems
14%
Front Propagation
14%
Diffusion Equation
14%
Conducting Liquid
14%
Charged Drop
14%
Domain Structure
14%
Three-dimensional (3D)
14%
Mathematics
Reaction-Diffusion System
100%
Asymptotics
78%
Diffusion Equation
67%
Traveling Wave Solution
48%
Energy Functional
46%
Initial Datum
46%
Variational Problem
40%
Space Dimension
40%
Traveling Wave
30%
Scott Model
29%
Nonlinearities
29%
Asymptotic Behavior
26%
Volume Fraction
25%
Initial-Value Problem
24%
Perpendicularity
24%
Timescale
23%
Lower and upper bounds
23%
Stoke Flow
21%
Posedness
21%
Boundary Condition
20%
Ground State
19%
Edge
19%
Critical Point
19%
Variational Approach
18%
Coulomb Repulsion
18%
Morphogen
18%
Free Surface
18%
Finite Time
17%
Self-Similarity
17%
Dirichlet Boundary Condition
17%
Discretization
16%
Numerical Simulation
15%
Global Existence
14%
Dimensional Problem
14%
Euler-Lagrange Equation
14%
Reduced Model
14%
Coulomb Interaction
14%
Three-Dimension
14%
Lattices
14%
Considered Problem
13%
Two Dimensions
13%
Nonexistence
13%
Wide Range
13%
Stochastics
12%
Exchange Energy
12%
Asymptotic Expansion
10%
Charge Density
10%
Field Energy
10%
Signal Propagation
10%
Free Boundary Problem
10%
Modified Problem
10%
Regularization
10%
Coincides
10%
Nonuniform
10%
External Field
10%
Real Line
9%
Positive Solution
9%
Local Minimizer
9%
Diffusion Model
9%
Considered Class
9%
Scalar
9%
Minimizes
9%
Sufficient Condition
9%
Limit Cycle
9%
Power Law
8%
Spatial Dimension
8%
Asymptotic Analysis
8%
Variational Characterization
8%
Viscous Fluid
7%
Asymptotic Form
7%
Conformal Mapping
7%
Variational Structure
7%
Grid Point
7%
Nonlocal Operator
7%
Derivative Term
7%
Summation
7%
Function of Several Variables
7%
Thermal Noise
7%
Channel Flow
7%
Taylor Series
7%
Taylor Expansion
7%
Boundary Condition at Infinity
7%
Asymptotic Property
7%
Particular Solution
7%
Scalar Field
7%
Emden-Fowler Equation
7%
Phase Field
7%
Field Equation
7%
Finite Number
7%
Dynamical System
7%
Density Functional
7%
Energy Limit
7%
Ergodic Theorem
7%
Order Energy
7%
Selection Mechanism
7%
Cell Problem
7%
Applied Field
7%
Brownian Particle
7%
Square Array
7%
Global Bifurcation
7%
Engineering
Energy Engineering
76%
Two Dimensional
68%
Domain Wall
45%
Minimizer
37%
One Dimensional
31%
Surfactant
29%
Liquid Hydrogen
26%
Micromagnetics
26%
Singularities
24%
Integral Method
23%
Computer Simulation
22%
Diffusion Equation
21%
Ignition
21%
Thin Films
19%
Electric Field
18%
Tension Surface
18%
Flow Problem
17%
Boundary Condition
16%
Mechanistic Model
14%
Posedness
14%
Travelling Wave
14%
Graphene
14%
Perpendicular Anisotropy
14%
Propellant Mass
14%
Limit Cycle
14%
Shear Flow
13%
Similarities
13%
Analytical Result
12%
Applied Field
12%
Conformal Mapping
11%
Coulomb Repulsion
11%
Film Plane
11%
Electrostatics
11%
Numerical Solution
10%
Nonlinearity
10%
Asymptotic Expansion
10%
Magnetization Configuration
10%
Two-Phase Flow
10%
Hydrodynamics
10%
Complex Variable
10%
Fluid Velocity
10%
Space Dimension
10%
Liquid Gas
9%
Induced Noise
9%
Liquid Drop
9%
Easy Axis
9%
Length Scale
9%
Cryogenic Hydrogen
9%
Material Parameter
9%
Hazards
9%
NASA
9%
Energy Barrier
9%
Reaction-Diffusion Model
9%
Dirichlet Boundary Condition
8%
Fluid Viscosity
8%
Insulation Layer
7%
Nucleate Boiling
7%
Multiple Scale
7%
Dielectrics
7%
Initial Data
7%
Multiscale
7%
Target Point
7%
Active Research
7%
Drop Dynamics
7%
Aerosol Spray
7%
Multicellular Organism
7%
Early Embryo
7%
Prepattern
7%
Single Channel
7%
Dimensionless Ratio
7%
Droplet Phase
7%
Vapor Compression
7%
Range Cell
7%
Few-Layer Graphene
7%
Activator
7%
Dimensional Array
7%
Chemical Specie
7%
System Component
7%
Plane Region
7%
Constrains
7%
Reciprocal Theorem
7%
Mechanical Tension
7%
Hydraulic Pressure
7%
Reattachment
7%
Pressure Jump
7%
Yield Stress
7%
Crystalline Anisotropy
7%
Photoreceptor
7%
Linear Stability Analysis
7%
Precessional Switching
7%
Detection Procedure
7%
Mathematical Property
7%
Experimental Measurement
7%
Discretization
7%
Mobility Enhancement
7%
Term Approximation
7%
Linear Strain
7%
Relative Strength
7%
Partial Differential Equation
7%
Delamination
7%