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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.
Scientists have extensively studied how gastric juices in the stomach break down ingested food and other substances. However, less is known about how complex flow patterns and mechanical stresses in t...
By ricocheting neutrons off the atoms of yttrium manganite (YMnO3) heated to 3,000 degrees Fahrenheit, researchers have discovered the atomic mechanisms that give the unusual material its rare electro...
The XLVII edition of the International Symposium on Multiparticle Dynamics will take place in Tlaxcala City, Mexico, during September 11-15, 2017. The Symposia are a series of mayor international high...
A first-principles low-order model of rapid thermal processing of semiconductor wafers is derived. The nonlinear model describes the steady-state and transient thermal behavior of a wafer with approxi...
The basic governing equations of coastal dynamics have been known for decades, but how can these equations be formulated to improve our understanding of coastal basins? The Dynamics of Coastal Models ...
This paper gives an overview of a Workshop on Chiral Dynamics: Theory and Experiment which was held at MIT July 25-29, 1994; its unique feature was the equal mixture of theory and experiment. The purp...
We compare oscillations of a fundamental string ending on a D3-brane in two different settings: (1) a test string radially threading the horizon of an extremal black D3-brane and (2) the spike s...
We study the formation and stability of regular black holes by employing a thin shell approximation to the dynamics of collapsing magnetic monopoles. The core deSitter region of the monopole is matche...
We study the tunneling conductance of nanoscale quantum “shuttles” in connection with a recent experiment [H. Park et al., Nature 407, 57 (2000)] in which a vibrating C60 molecule was apparently funct...
Dynamics of M-theory vacua     Inflation  vacuum  vacuum  low energy parameters       2014/12/20
At very early times, the universe was not in a vacuum state. Under the assumtion that the deviation from equillibrium was large, in particular that it is higher than the scale of inflation, we analyse...
We study the dynamic critical behavior of the Chayes-Machta dynamics for the Fortuin-Kasteleyn random-cluster model, which generalizes the Swendsen-Wang dynamics for the q-state Potts model to noninte...
We report results of large-scale molecular-dynamics (MD) simulations of dynamic deformation under biaxial tensile strain of pre-strained single-crystalline nanometerscale- thick face-centered cubic (f...
We study the low temperature dynamics in films made of molecular magnets, i. e. crystals composed of molecules having large electronic spin S in their ground state. The electronic spin dynamics is med...

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