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System trains drones to fly around obstacles at high speeds
arithmetic drone aerodynamics
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2021/8/11
A new algorithm helps drones find the fastest route around obstacles without crashing. The system could enable fast, nimble drones for time-critical operations such as search and rescue.
Obstacles and Circumvention Strategies for Hematopoietic Stem Cell Transduction by Recombinant Adeno-associated Virus Vectors
gene therapy hematopoietic stem cells sickle cell disease
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2015/5/21
High-efficiency transduction of hematopoietic stem cells (HSCs) by recombinant adeno-associated virus serotype 2 (AAV2) vectors is limited by (i) inadequate expression of cellular receptor/co-receptor...
Asymptotics of the critical non-linear wave equation for a class of non star-shaped obstacles
Asymptotics the critical non-linear wave equation non star-shaped obstacles Analysis of PDEs
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2012/6/14
Scattering for the energy critical non-linear wave equation for domains exterior to non trapping obstacles in 3+1 dimension is known for the star-shaped case. In this paper, we extend the scattering f...
The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval II. Obstacles with a dissipative boundary or finite refractive index and back-scattering data
enclosure method inverse obstacle scattering problem inverse backscattering obstacle wave equation dissipative boundary condition
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2011/9/5
Abstract: In this paper a wave is generated by an initial data whose support is localized at the outside of unknown obstacles and observed in a limited time on a known closed surface or the same posit...
Numerical Solution of the Tomography Problem in Domains with Obstacles
Numerical Solution the Tomography Problem Obstacles Numerical Analysis
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2011/8/26
Abstract: We study numerical methods of tomography in domains with a reflecting obstacle. It will be shown that tomography with sets containing both broken rays, i.e. rays reflecting at the obstacle, ...
A priori estimates for high frequency scattering by obstacles of arbitrary shape
high frequency scattering bstacles of arbitrary shape
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2010/12/27
High frequency estimates for the Dirichlet-to-Neumann and Neumann-to-Dirichlet operators are obtained for the Helmholtz equation in the exterior of bounded obstacles. These a priory estimates are use...
Uniqueness on the Class of Odd-Dimensional Starlike Obstacles with Cross Section Data
Odd-Dimensional Starlike Obstacles Cross Section Data
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2010/11/18
We determine the uniqueness on starlike obstacles by using the cross section data. We see cross section data as spectral measure in polar coordinate at far field. Cross section scattering data suffic...
Irregular Time Dependent Obstacles
Irregular Time Dependent Obstacles math
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2010/11/15
We study the obstacle problem for the Evolutionary p-Laplace Equation when the obstacle is discontinuous and without regularity in the time variable. Two quite different procedures yield the same solu...
The Nonnormality of Coastal Ocean Flows around Obstacles, and Their Response to Stochastic Forcing
Coastal Ocean Flows Stochastic Forcing
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2008/6/20
The effect of stochastic variability upon the wake downstream of a real headland is investigated. From observations taken at Bass Point, Australia, three sources of stochastic forcing are identified a...