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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...
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...
Conformally flat Kaluza-Klein spaces,pseudo-/para-complex space forms and generalized gravitational kinks
Kaluza-Klein conformal fl atness pseudo-/para-K¨ahler manifolds
2010/4/13
The equations describing the Kaluza-Klein reduction of conformally flat spaces are investigated in arbitrary dimensions. Special classes of solution related to pseudo-Kahler and para-Kahler structures...
Geodesic Motion in Spinning Spaces
spinning particles geodesic motion Killing-Yano tensor equatorial plane
2007/8/15
2006Vol.46No.6pp.995-1000DOI:
Geodesic Motion in Spinning Spaces
WANG Jun and WANG Yong-Jiu
Institute of Physics, Hunan Normal University, Changsha 410081, China
...
Multiple Jacobi Elliptic Function Solutions to Integrable Higher Order Broer-Kaup Equation in (2+1)-Dimensional Spaces
Jacobi elliptic function projective Riccati equation
higher-order Broer-Kaup system exact solutions
2007/8/15
2006Vol.46No.2pp.193-198DOI:
Multiple Jacobi Elliptic Function Solutions to Integrable Higher Order Broer-Kaup Equation in (2+1)-Dimensional Spaces
LI De-Sheng and LUO Cheng-Xin
...
Ricci Collineations of Static Space Times with Maximal Symmetric
Transverse Spaces
Ricci collineations exact solutions of Einstein field equations
maximal symmetric spaces
2007/8/15
2006Vol.45No.1pp.95-104DOI:
Ricci Collineations of Static Space Times with Maximal Symmetric
Transverse Spaces
M. Akbar and CAI Rong-Gen
Institute of Theoretical Physics...
On Differential Equations Describing 3-Dimensional Hyperbolic Spaces
(2+1)-dimensional integrable systems differential
equations describing 3-dimensional hyperbolic spaces conservation laws
2007/8/15
2006Vol.45No.1pp.135-142DOI:
On Differential Equations Describing 3-Dimensional Hyperbolic Spaces
WU Jun-Yi,1 DING Qing,1,2 and Keti Tenenblat3
1 Institute of Mathematic...