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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global unique solutions for the inhomogeneous Navier-Stokes equation with only bounded density, in critical regularity spaces
临界正则性空间 界密度 非齐次 纳维-斯托克斯方程 全局唯一解
2023/4/25
Our work is to prove the global existence and uniqueness of solutions to the inhomogeneous incompressible Navier-Stokes system in the case where the initial density $\rho_0$ is discontinuous and the i...
ANALYSIS OF TIN-STRUCTURE PARAMETER SPACES IN AIRBORNE LASER SCANNER DATA FOR 3-D BUILDING MODEL GENERATION
LIDAR Triangulation Cluster Analysis
2015/6/1
The derived building models were evaluated for their correctness and geometric accuracy. Well-defined building roof planes can be
extracted and reconstructed successfully, while disturbances such as...
Spinor formalism and the geometry of six-dimensional Riemannian spaces
Spinor formalism geometry six-dimensional Riemannian spaces Mathematical Physics
2012/4/17
The article consists of the Russian and English variants of Ph.D. Thesis in which the answers is given on the following questions.
A spectral theory of linear operators on rigged Hilbert spaces under certain analyticity conditions
generalized eigenvalue resonance pole rigged Hilbert space Gelfand triplet generalized function
2011/9/22
Abstract: A spectral theory of linear operators on rigged Hilbert spaces (Gelfand triplets) is developed under the assumptions that a linear operator $T$ on a Hilbert space $\mathcal{H}$ is a perturba...
Quadratic estimates for perturbed Dirac type operators on doubling measure metric spaces
Quadratic estimates holomorphic functional calculi doubling measure measure metric space Dirac type operators
2011/9/15
Abstract: We consider perturbations of Dirac type operators on complete, connected metric spaces equipped with a doubling measure. Under a suitable set of assumptions, we prove quadratic estimates for...
Geometry of fractional spaces
Models of Quantum Gravity Field Theories in Lower Dimensions Fractal Geometry
2011/7/28
Abstract: We introduce fractional flat space, described by a continuous geometry with constant non-integer Hausdorff and spectral dimensions. This is the analogue of Euclidean space, but with anomalou...
Locally Homogeneous Spaces, Induced Killing Vector Fields and Applications to Bianchi Prototypes
locally homogeneous spaces Killing equations & vector fields isometric embedding moving frames
2011/7/28
Abstract: An answer to the question: Can, in general, the adoption of a given symmetry induce a further symmetry, which might be hidden at a first level? has been attempted in the context of different...
First considerations on the generalized uncertainty principle for finite-dimensional discrete phase spaces
First considerations the generalized uncertainty principle finite-dimensional discrete phase spaces
2011/7/27
Abstract: Generalized uncertainty principle and breakdown of the spacetime continuum certainly represent two important results derived of various approaches related to quantum gravity and black hole p...
Instantons on ALE spaces and Super Liouville Conformal Field Theories
ALE spaces Super Liouville Conformal Field Theories Algebraic Geometry
2011/7/28
Instantons on ALE spaces and Super Liouville Conformal Field Theories.
Convergence of the Neumann series for the Schrodinger equation and general Volterra equations in Banach spaces
Neumann Convergence the Schrodinger equation
2011/7/26
Abstract: The objective of the article is to treat the Schrodinger equation in parallel with a standard treatment of the heat equation. In the mathematics literature, the heat equation initial value p...
Super tensor models, super fuzzy spaces and super n-ary transformations
Super tensor models super fuzzy spaces super n-ary transformations
2011/7/27
Abstract: By extending the algebraic description of the bosonic rank-three tensor models, a general framework for super rank-three tensor models and correspondence to super fuzzy spaces is proposed. T...
Path Integrals for Quadratic Lagrangians on p-Adic and Adelic Spaces
Path Integrals Quadratic Lagrangians p-Adic Adelic Spaces
2010/12/27
Feynman's path integrals in ordinary, p-adic and adelic quantum mechanics are considered. The corresponding probability amplitudes $ K(x^{"},t^{"};x',t')$ for two-dimensional systems with quadratic L...
Multi-Matrix Models and Tri-Sasaki Einstein Spaces
Multi-Matrix Models Tri-Sasaki Einstein Spaces
2010/12/24
Localization methods reduce the path integrals in {\cal N} >= 2 supersymmetric Chern-Simons gauge theories on S^3 to multi-matrix integrals. A recent evaluation of such a two-matrix integral for the {...
Noncommutative Particles in Curved Spaces
noncommutativity extended DFR space curved spaces
2010/12/21
We present a formulation in a curved background of noncommutative mechanics, where the object of noncommutativity θμ is considered as an independent quantity having a canonical conjugate momentum. We...
The goal of this article is to come up with interpretation of quantum phenomena that is both local and deterministic. This is done by the means of envoking two different metrics, $g_o$ and $g_s$. Thes...