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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Exponential decay of intersection volume and applications
交叉体积 指数衰减 公制空间
2023/4/23
There is some disagreement about the meaning
of the phrase 'chaotic
ow.' However, there is no doubt that mixing Anosov
ows provide an example of such systems. Anosov systems were introduced
and...
Exponential decay for the fragmentation or cell-division equation
Exponential decay fragmentation cell-division equation
2015/7/14
We consider a classical integro-differential equation that arises in various applications as a model for cell-division or fragmentation. In biology, it describes the evolution of the density of cells ...
Linear independence of time-frequency translates of functions with faster than exponential decay
Gabor system exponential decay HRT conjecture linear independence timefrequency translates analytic zero divisor conjecture
2012/6/29
We establish the linear independence of time-frequency translates for functions $f$ having one sided decay $\lim_{x\to \infty} |f(x)| e^{cx \log x} = 0$ for all $c>0$. We also prove such results for f...
The Boltzmann equation, Besov spaces, and optimal time decay rates in the whole space
Kinetic Theory Boltzmann equation long-range interaction non cutoff soft potentials hard potentials fractional derivatives
2012/6/6
We prove that $k$-th order derivatives of perturbative classical solutions to the hard and soft potential Boltzmann equation (without the angular cut-off assumption) in the whole space, $\threed_x$ wi...
Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors
partial hyperbolicity singular-hyperbolicity recurrence decay of correlations local dimension hitting times
2012/4/23
We consider two dimensional maps preserving a foliation which is uniformly contracting and a one dimensional associated quotient map having exponential convergence to equilibrium (iterates of Lebesgue...
Improved local energy decay for the wave equation on asymptotically Euclidean odd dimensional manifolds in the short range case
Local energy decay resolvent smoothness wave equation odd dimensions low frequencies asymptotically Euclidean manifolds
2011/9/21
Abstract: We show improved local energy decay for the wave equation on asymptotically Euclidean manifolds in odd dimensions in the short range case. The precise decay rate depends on the decay of the ...
A decay estimate for a wave equation with trapping and a complex potential
wave equation decay estimate complex potential Analysis of PDEs
2011/9/19
Abstract: In this brief note, we consider a wave equation that has both trapping and a complex potential. For this problem, we prove a uniform bound on the energy and a Morawetz (or integrated local e...
Singular limit and exact decay rate of a nonlinear elliptic equation
existence of solution nonlinear elliptic equations singular limit exact decay rate Yamabe flow
2011/9/6
Abstract: For any $n\ge 3$, $00$, $\beta>0$, $\alpha$, satisfying $\alpha\le\beta(n-2)/m$, we prove the existence of radially symmetric solution of $\frac{n-1}{m}\D...
Confluent A-hypergeometric functions and rapid decay homology cycles
A-hypergeometric functions decay homology cycles Algebraic Geometry
2011/8/23
Abstract: We study confluent A-hypergeometric functions introduced by Adolphson. In particular, we give their integral representations by using rapid decay homology cycles of Hien.
Predicted charged charmonium-like structures in the hidden-charm dipion decay of higher charmonia
charmonium-like structures hidden-charm dipion decay higher charmonia
2011/7/21
In this work, we predict two charged charmonium-like structures close to the $D^\ast\bar{D}$ and $D^\ast\bar{D}^\ast$ thresholds, where the Initial Single Pion Emission mechanism is introduced in the ...
Reynolds number dependence of kinetic helicity decay in linearly forced turbulence
Reynolds number dependence linearly forced turbulence
2010/12/28
The decay of kinetic helicity is studied in numerical models of forced turbulence using either an externally imposed forcing function as an inhomogeneous term in the equations or, lternatively, a term...
Exponential decay for nonlinear problem in non cylindrical domain
Exponential decay nonlinear problem cylindrical domain
2010/9/25
Exponential decay for nonlinear problem in non cylindrical domain.
Decay of linear waves on higher dimensional Schwarzschild black holes
Decay of linear waves higher dimensional Schwarzschild black holes
2011/3/4
In this paper we consider solutions to the linear wave equation on higher dimensional Schwarzschild black hole spacetimes and prove robust nondegenerate energy decay estimates that are in principle re...
On the Decay of Infinite Energy Solutions to the Navier-Stokes Equations in the Plane
Navier-Stokes equations decay of solutions infinite energy solutions
2011/1/20
Infinite energy solutions to the Navier-Stokes equations in R2 may be constructed by decomposing the initial data into a finite energy piece and an infinite energy piece, which are then treated separa...