# Mathematics

• United States

# Fingerprint Dive into the research topics where Mathematics is active. These topic labels come from the works of this organization's members. Together they form a unique fingerprint.

### Mathematics

Abelian Variety
Algebra
Analogue
Approximation
Arbitrary
Automorphisms
Billiards
Boundary Layer
Bundle
C*-algebra
Cauchy Problem
Class
Closed
Cocycle
Coefficient
Cohomology
Congruence
Conservation Laws
Curvature
Curve
Diffeomorphism
Diffeomorphisms
Differential Inclusions
Discretization
Divisor
Dynamical system
Eigenvalue
Endomorphisms
Energy
Entropy
Estimate
Euler
Euler Equations
Finite Element
Fluid
Foliation
Function Fields
Galois field
Generalise
Generating Function
Geodesic Flow
Global Existence
Graph in graph theory
Grid
Groupoids
Hausdorff Dimension
Hyperbolic Systems
Infinity
Integer
Interaction
Invariant
Invariant Measure
K-theory
Lipschitz
Liquid Crystal
Lyapunov Exponent
Metric
Mock theta Functions
Model
Modulo
Multigrid Method
Norm
Odd
Operator
Parity
Partition
Partition Function
Partition Identities
Plane Partitions
Poisson Structure
Polygon
Polynomial
Preconditioner
Q-series
Quotient
Ramanujan
Ramanujan's Lost Notebook
Regularity
Riemannian Manifold
Rigidity
Ring
Rogers-Ramanujan Identities
Series
Shock
SimÃ©on Denis Poisson
Subgroup
Systems of Conservation Laws
Term
Theorem
Torus
Uniqueness
Vanishing Viscosity
Variational Approach
Variational Equation
Viscosity
Waring's problem
Wave equation
Weak Solution
Well-posedness
Zero

### Engineering & Materials Science

Algebra
Boundary conditions
Boundary layers
Boundary value problems
Chemical analysis
Coarsening
Composite materials
Computer simulation
Conservation
Costs
Crystals
Damping
Data storage equipment
Decomposition
Defects
Derivatives
Differential equations
Domain decomposition methods
Domain walls
Doping (additives)
Dynamical systems
Eigenvalues and eigenfunctions
Elasticity
Electric fields
Electric properties
Electromechanical coupling
Entropy
Euler equations
Experiments
Factorization
Feedback
Ferroelectric ceramics
Ferroelectric materials
Ferroelectric thin films
Fibers
Finite element method
Fluids
Fluorescence
Fluxes
Free energy
Gadolinium
Galerkin methods
Geometry
Green's function
Hamiltonians
Hydrodynamics
Interpolation
Ions
Iterative methods
Lead
Lie groups
Linear systems
Liquid crystals
Luminescence
Mathematical models
Mathematical operators
Mechanics
Molecular dynamics
Momentum
Nanoparticles
Nanosheets
Navier Stokes equations
Nematic liquid crystals
Numerical methods
Optical properties
Orbits
Oxygen
Partial differential equations
Permittivity
Phase boundaries
Phase transitions
Phosphorescence
Physics
Piezoelectric ceramics
Piezoelectricity
Polarization
Polymers
Polynomials
Pulsed laser deposition
Rational functions
Recovery
Rigidity
Single crystals
Sobolev spaces
Stabilization
Statistics
Stochastic models
Substrates
Surface waves
Temperature
Tensors
Thin films
Trajectories
Transducers
Ultrasonics
Viscosity
Vortex flow
Water
Wave equations
Wavelength

### Physics & Astronomy

#### Aerospace Sciences

ultrasonic spectroscopy

#### Chemistry and Materials

ceramics
composite materials
deep water
elastic properties
ethers
gadolinium
glass
liquids
oxygen
piezoelectric ceramics
piezoelectricity
polymers

#### Engineering

acoustic levitation
dielectric properties
engineering
excitation
filters
hydrodynamics
permittivity
preserving
resonators
rods

#### General

aspect ratio
attenuation
augmentation
boundary conditions
boundary layers
cells
configurations
continuums
crystals
curvature
curves
defects
depolarization
dipoles
dissipation
domain wall
dynamical systems
electric fields
energy
entropy
estimates
ferroelectric materials
filaments
fillers
fluids
formulations
geometry
interactions
liquid crystals
low frequencies
matrix materials
molecular dynamics
nonlinearity
operators
piezoelectric crystals
regularity
shear
simulation
single crystals
temperature dependence
temperature measurement
temperature sensors
thin films
transducers
ultrasonics
uniqueness
viscous fluids

therapy

#### Mathematical and Computer Sciences

algebra
approximation
finite element method
matrices
quantum computers
symmetry
tensors
theorems

#### Physics

acoustic impedance
acoustics
coefficients
coupling coefficients
fluorescence
ions
luminescence
Navier-Stokes equation
oscillations
phase velocity
phosphorescence
physics
polarization
room temperature
temperature
transition temperature
traveling waves
viscosity
water waves
wave propagation
wavelengths