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In this talk, I will report some recent progress regarding wave scattering problems in anisotropic media.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Wave scattering in anisotropic media
各向异性介质 波散射 数学
2023/4/26
In this talk, I will report some recent progress regarding wave scattering problems in anisotropic media.
ANISOTROPIC STEP STIFFNESS FROM A KINETIC MODEL OF EPITAXIAL GROWTH
epitaxial growth island dynamics step edge adatoms edge-atoms surface diffusion step stiffness line tension step edge kinetics kinetic steady state Gibbs–Thomson formula Ehrlich–Schwoebel barrier step permeability
2015/10/16
Starting from a detailed model for the kinetics of a step edge or island boundary, we derive a Gibbs–Thomson-type formula and the associated step stiffness as a function of the step edge orientation a...
Anisotropic diffusion in continuum relaxation of stepped crystal surfaces
Anisotropic diffusion continuum relaxation stepped crystal surfaces
2015/10/16
We study the continuum limit in 2+1 dimensions of nanoscale anisotropic diffusion processes on crystal surfaces relaxing to become flat below roughening. Our main result is a continuum law for the sur...
A fast algorithm for 3D azimuthally anisotropic velocity scan
3D Velocity analysis Anisotropic parameter
2015/7/14
The conventional velocity scan can be computationally expensive for large-scale seismic data sets, particularly when the presence of anisotropy requires multiparameter scanning. We introduce a fast al...
Anisotropic interactions in a first-order aggregation model:a proof of concept
Anisotropy visual perception aggregation models implicit equations regularization relaxation time uniqueness criteria singular perturbation
2015/7/14
We extend a well-studied ODE model for collective behaviour by considering anisotropic interactions among individuals. Anisotropy is modeled by limited sensorial perception of individuals, that depend...
Anisotropic spin diffusion in trapped Boltzmann gases
Trapped bose gas mixture dynamics grain boltzmann constant
2014/12/20
Recent experiments in a mixture of two hyperfine states of trapped Bose gases show behavior analogous to a spin-1/2 system, including transverse spin waves and other familiar Leggett-Rice-type effects...
Phase diagram of an anisotropic bosonic t-J model
Quantum monte carlo simulation of low temperature isotopic mixture model
2014/12/19
We have studied by quantum Monte Carlo simulations the low temperature phase diagram of a mixture of isotopic, hard core bosons, described by the t-Jz-J⊥ model, with J⊥=αJz. The coexistence of superfl...
Membrane morphology induced by anisotropic proteins
Protein biological fluid film liquid membrane gaussian curvature modeling
2014/12/18
There are a great many proteins that localize to and collectively generate curvature in biological fluid membranes. We study changes in the topology of fluid membranes due to the presence of highly an...
A Fully Anisotropic Mechanism for Formation of Trapped Surfaces in Vacuum
A Fully Anisotropic Mechanis Trapped Surfaces Vacuum
2014/4/3
In collaboration with I. Rodnianski and J. Luk we extend considerably the result of Christodoulou on the dynamic formation of trapped surfaces in vacuum by allowing characteristic initial data which a...
Calculation of Constitutive Parameters from Electric and Magnetic Field Measurements in an Anisotropic Medium with a Triaxial Instrument
Electrical Anisotropy Triaxial Measurement Electric and Magnetic Dipoles
2013/3/11
A hypothetical electric and magnetic induction tensor is considered in an anisotropic medium. The sources are magnetic dipoles. In such a medium, constitute parameters can be calculated by combining e...
On the Coupled of NBEM and FEM for an Anisotropic Quasilinear Problem in Elongated Domains
Quasilinear Elliptic Equation Elliptic Artificial Boundary Natural Integral Equation
2013/1/30
In this paper, based on the Kirchhoff transformation, the coupling of natural boundary element method and finite element method are discussed for solving exterior anisotropic quasilinear problems with...
Anisotropic covering of fractal sets
Anisotropic covering of fractal sets Pattern Formation and Solitons
2012/4/26
We consider the optimal covering of fractal sets in a two-dimensional space using ellipses which become increasingly anisotropic as their size is reduced. If the semi-minor axis is \epsilon and the se...
Anisotropic flow in striped superhydrophobic channels
Anisotropic flow striped superhydrophobic channels Fluid Dynamics
2012/4/20
We report results of dissipative particle dynamics simulations and develop a semi-analytical theory and of an anisotropic flow in a parallel-plate channel with two superhydrophobic striped walls. Our ...
Anisotropic Function Spaces on Singular Manifolds
Anisotropic weighted Sobolev spaces Bessel potential spaces Besov spaces Holder spaces noncomplete Riemannian manifolds with boundary
2012/4/18
A rather complete investigation of anisotropic Bessel potential, Besov, and H\"older spaces on cylinders over (possibly) noncompact Riemannian manifolds with boundary is carried out. The geometry of t...