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We establish improved uniform error bounds for the time-splitting methods for the long-time dynamics of the nonlinear Schr\"odinger equation (NLSE) with weak nonlinearity. By a new technique of regula...
I will report my recent joint work with Jacek Jendrej on muti-solitons to the Klein-Gordon equations including their asymptotic stability and classification.
The nuclear market will be able to respond as it transitions away from the oversupply of recent years - but decisions to increase capacity in the front-end of the fuel cycle will need to be taken soon...
Nonlinear dynamics play a prominent role in many domains and are notoriously difficult to solve. Whereas previous quantum algorithms for general nonlinear equations have been severely limited due to t...
The weak stability is an important issue in fluid dynamics. We will discuss the mathematical understudying of concentration phenomena in the framework of weak solutions with either critical or subcrit...
We introduce the notion of expanding cone of a noncompact simple Lie group. This allows us to extend several results in homogeneous dynamics to more general settings. We show how this notion is used i...
Hydrodynamic stability at high Reynolds number is a central topic in fluid mechanics. It is closely related to turbulence. Whereas the laminar velocity profile is linearly stable for all Reynolds numb...
Arecent Nature publication continues to generate headlines over its findings that scientists from the California Institute of Technology developed a model of a traversable wormhole on the Google Sycam...
In this talk, we investigate a stochastic nutrient-phytoplankton model which incorporates the effect of white noise on phytoplankton growth. The global existence and uniqueness of a positive solution,...
Community structure division is a crucial problem in the field of network data analysis. Algorithms based on Markov chains are easy to use and provide promising solutions for community detection. In a...
Last year, MIT researchers announced that they had built “liquid” neural networks, inspired by the brains of small species: a class of flexible, robust machine learning models that learn on the job an...
In this talk, I will discuss the dynamics near a shear flow when the Coriolis force is involved. Compared with the non-Coriolis case, the spectral properties of the linearized Euler operator change fu...
Organizational Dynamics' domain is primarily organizational behavior and development and secondarily, HRM and strategic management. The objective is to link leading-edge thought and research with mana...
Dynamics, vibration and control are among the most active scientific frontiers in sciences and engineering in recent years, and ICDVC-2010 is devoted to this important research areas. The aim ...

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