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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：C1,1/3- very weak solutions to the two dimensional Monge–Ampère equation
二维 Monge–Ampère方程 C1,1/3极弱解
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2023/11/29
For any θ<1/3 , we show that very weak solutions to the two-dimensional Monge–Ampère equation with regularity C1,θ are dense in the space of continuous functions. This result is shown by a convex inte...
Sliced space-filling designs with different levels of two-dimensional uniformity
Asymmetric Balanced Computer experiment Sliced orthogonal array Sliced space-filling design
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2016/1/25
We consider sliced computer experiments where priori knowledge suggests that factors may have different levels of importance, and so some factors need to be paid more attention than others. A new clas...
Steady advection–diffusion around finite absorbers in two-dimensional potential flows
Steady advection–diffusion finite absorbers two-dimensional potential flows
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2015/10/16
We consider perhaps the simplest non-trivial problem in advection–diffusion – a finite absorber of arbitrary cross-section in a steady two-dimensional potential flow of concentrated fluid. This proble...
Deterministic and stochastic perturbations of area preserving flows on a two-dimensional torus
Averaging Markov Process Hamiltonian Flow
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2015/9/29
We study deterministic and stochastic perturbations of incompressible flows on
a two-dimensional torus. Even in the case of purely deterministic perturbations,
the long-time behavior of such &...
Averaging of incompressible ows on two-dimensional surfaces
two-dimensional surfaces incompressible
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2015/9/29
We consider a process on a compact two-dimensional surface which consists
of the fast motion along the stream lines of an incompressible periodic vector eld
perturbed by white noise. It gives rise ...
Deterministic and stochastic perturbations of area preserving flows on a two-dimensional torus
Averaging Markov Process Hamiltonian Flow Gluing Conditions Diffusion on a Graph
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2015/9/28
We study deterministic and stochastic perturbations of incompressible flows on a two-dimensional torus. Even in the case of purely deterministic perturbations, the long-time behavior of such ...
Averaging of incompressible flows on two-dimensional surfaces
Averaging Markov Process Incompressible Flow Gluing Conditions Diffusion on a Graph
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2015/9/25
We consider a process on a compact two-dimensional surface which consists of the fast motion along the stream lines of an incompressible periodic vector field perturbed by white noise. It gives rise t...
SYNCHROSQUEEZED CURVELET TRANSFORM FOR TWO-DIMENSIONAL MODE DECOMPOSITION
curvelet transform synchrosqueezing banded wave-like components local wavevector phase space representation
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2015/7/14
This paper introduces the synchrosqueezed curvelet transform as an optimal tool for two-dimensional mode decomposition of wavefronts or banded wave-like components. The synchrosqueezed curvelet transf...
On Dirichlet eigenvectors for neutral two-dimensional Markov chains
Hahn polynomials two-dimensional difference equation neutral Markov chain multitype population dynamics Dirichlet eigenvector Dirichlet eigenvalue quasi-stationary distribution Yaglom limit coexistence
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2015/7/7
We consider a general class of discrete, two-dimensional Markov chains modeling the dynamics of a population with two types, without mutation or immigration, and neutral in the sense that type has no ...
Finite Volume Local Evolution Galerkin Method for Two-dimensional Relativistic Hydrodynamics
Finite volume local evolution Galerkin method evolution operator genuinely multi-dimensional method relativistic hydrodynamics
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2014/9/26
The paper proposes a second-order accurate nite volume local evolution Galerkin
(FVLEG) method for two-dimensional special relativistic hydrodynamical (RHD) e-quations. Instead of using the dimensio...
A High–order Accurate Gas-kinetic Scheme for One-and Two-dimensional Flow Simulation
Gas-kinetic scheme initial reconstruction BGK model Boltzmann equation,
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2014/9/26
This paper develops a high-order accurate gas-kinetic scheme in the frame-work of the finite volume method for the one- and two-dimensional flow simulations,
which is an extension of the third-order ...
ABSENCE OF ANOMALOUS DISSIPATION OF ENERGY IN FORCED TWO DIMENSIONAL FLUID EQUATIONS
ABSENCE OF ANOMALOUS DISSIPATION OF ENERGY FORCED TWO DIMENSIONAL FLUID EQUATIONS
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2014/4/3
Anomalous dissipation of energy in three dimensional turbulence is one of the basic statements of physical theory [55]. It has been veri ed experimentally to a large degree [75], but not mathematicall...
Integrable semi-discretizations and full-discretization of the two dimensional Leznov lattice
Integrable system Integrable discretization cklund transformation Lax pair
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2012/8/8
In this paper, semi-discretizations and full-discretization of the Leznov lattice are investigated via
Hirota's bilinear formalism. As a result, two integrable semi-discrete versions and one fully di...
Extreme values for two-dimensional discrete Gaussian free field
Extreme values two-dimensional discrete Gaussian free field Probability
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2012/6/15
We consider in this paper the collection of near maxima of the discrete, two dimensional Gaussian free field in a box with Dirichlet boundary conditions. We provide a rough description of the geometry...
Polymetric brick wall patterns and two-dimensional substitutions
Pseudo-self-similar tilings 2D-substitutions automatic sequences
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2012/6/12
Polymetric walls are walls built from bricks in more than one size. Architects and builders want to built polymetric walls that satisfy certain structural and aesthetical constraints. In a recent pape...