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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Higher-order Hamiltonian generalization evolution equations
高阶 哈密顿 广义演化方程
2023/11/13
In this talk, I will review several classes of higher-order generalizations of the integrable Camassa-Holm equation in the Hamiltonian forms. Then, I talk about some new results for one generalized Ca...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fractal solutions of multi-component systems of dispersive evolution equations
色散演化方程 多分量系统 分形解
2023/4/27
In this talk, we investigate the fractalization phenomena for the multi-component systems of the dispersive evolution equations on a bounded interval subject to the periodic boundary conditions. The e...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dispersive Quantization and Revival Phenomena for Dispersive Evolution Equations
色散演化方程 色散量子化 复兴现象
2023/4/27
In this talk, we investigate the revival phenomena for the dispersive evolution equations. Firstly, we study the dispersive quantization phenomena for the multi-component systems of the dispersive evo...
Research on the evolution and function of play at the National Institute for Mathematical and Biological Synthesis (NIMBioS) has culminated in a special issue of the journalAdaptive Behavior. The pape...
A PRIORI ESTIMATES FOR MANY-BODY HAMILTONIAN EVOLUTION OF INTERACTING BOSON SYSTEM
Dispersive estimates interaction Morawetz type (correlation) estimates many-body Hamiltonian many-body Schrodinger equation quantum hydrodynamics BBGKY hierarchy
2015/10/16
We study the evolution of a many-particle system whose wave function obeys the N-body Schr¨ odinger equation under Bose symmetry. The system Hamiltonian describes pairwise particle interactions in the...
Facet evolution on supported nanostructures:Effect of finite height
Facet evolution nanostructures finite height
2015/10/16
The surface of a nanostructure relaxing on a substrate consists of a finite number of interacting steps and often involves the expansion of facets. Prior theoretical studies of facet evolution have fo...
Second-Order Corrections to Mean Field Evolution of Weakly Interacting Bosons.I.
Second-Order Corrections Mean Field Evolution Weakly Interacting Bosons
2015/10/16
Inspired by the works of Rodnianski and Schlein [31] and Wu [34,35], we derive a new nonlinear Schrödinger equation that describes a second-order correction to the usual tensor product (mean-fiel...
Second-order corrections to mean field evolution of weakly interacting Bosons.II
Second-order corrections Mean field evolution Weakly interacting bosons
2015/10/16
We study the evolution of an N-body weakly interacting system of Bosons. Our work forms an extension of our previous paper Grillakis, Machedon, and Margetis (2010) [13], in which we derived a second-o...
SECOND ORDER CORRECTIONS TO MEAN FIELD EVOLUTION FOR WEAKLY INTERACTING BOSONS, I
SECOND ORDER equation
2015/10/15
Inspired by the works of Rodnianski and Schlein [31]
and Wu [34, 35], we derive a new nonlinear Schr¨odinger equation
that describes a second-order correction to the usual tensor product (mean-ʂ...
SECOND-ORDER CORRECTIONS TO MEAN FIELD EVOLUTION OF WEAKLY INTERACTING BOSONS. II
SECOND-ORDER WEAKLY INTERACTING BOSONS
2015/10/15
We study the evolution of a N-body weakly interacting system of Bosons. Our work forms an extension of our previous paper I [13], in which we derived a second-order correction
to a mean-field e...
BEYOND MEAN FIELD: ON THE ROLE OF PAIR EXCITATIONS IN THE EVOLUTION OF CONDENSATES
BEYOND MEAN FIELD PAIR EXCITATIONS
2015/10/15
This paper is in part a summary of our earlier work
[17, 18, 19], and in part an announcement introducing a re nement
of the equations for the pair excitation function used in our previous work with...
EVOLUTION OF ADIABATIC INVARIANTS IN STOCHASTIC AVERAGING
STOCHASTIC AVERAGING ADIABATIC INVARIANTS
2015/9/29
An averaging problem with Markov fast motion is
considered. The di usive limit is obtained for the evolution of adabatic invariants under the assumption that the averaged motion
is ergodic on almost...
Evolution of particle separation in slowly decorrelating velocity fields
particle separation slowly decorrelating velocity fields
2015/7/14
We consider the evolution of the separation distance between two particles advected by a random velocity field with slowly decaying temporal and spatial correlations in the weak coupling regime. It ha...
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
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...
Applying the Wiener-Hermite Random Technique to Study the Evolution of Excess Weight Population in the Region of Valencia (Spain)
Random SIS Type—Epidemiological Model Wiener—Hermite Expansion Perturbation Method
2013/1/30
This paper proposes a stochastic model to study the evolution of normal and excess weight population between 24 - 65 years old in the region of Valencia (Spain). An approximate solution process of the...