4,462 research outputs found
Myopic Models of Population Dynamics on Infinite Networks
Reaction-diffusion equations are treated on infinite networks using semigroup
methods. To blend high fidelity local analysis with coarse remote modeling,
initial data and solutions come from a uniformly closed algebra generated by
functions which are flat at infinity. The algebra is associated with a
compactification of the network which facilitates the description of spatial
asymptotics. Diffusive effects disappear at infinity, greatly simplifying the
remote dynamics. Accelerated diffusion models with conventional eigenfunctions
expansions are constructed to provide opportunities for finite dimensional
approximation.Comment: 36 pages. arXiv admin note: text overlap with arXiv:1109.313
Dirichlet to Neumann Maps for Infinite Quantum Graphs
The Dirichlet problem and Dirichlet to Neumann map are analyzed for elliptic
equations on a large collection of infinite quantum graphs. For a dense set of
continuous functions on the graph boundary, the Dirichlet to Neumann map has
values in the Radon measures on the graph boundary
THE COOPERATIVE RENAISSANCE: EMPOWERING PRODUCERS IN AN ERA OF GREATER RISK
Agribusiness, Risk and Uncertainty,
Flood Frequency Estimation in Northern Sparse Data Regions: Completion Report
The primary objective of this project was to complete development of
an arctic hydrologic model and to evaluate its usefulness in generating
information useful for a design tool in estimation of peak flow discharges.
The peak flow discharges studied were those generally analyzed and evaluated
in the design of facilities for stream crossings.The work upon which this report is based was supported by funds
(Project B-021 ALAS) provided by the United States Department of the
Interior, Office of Water Resources Research, as authorized by Water
Resources Research Act of 1964, Public Law 88-379, as amended
A Northern Snowmelt Model
In early 1968, a large petroleum discovery was made in the Prudhoe
Bay area of Alaska's Arctic Coastal Plain. This discovery has led Alaska
into a period of development of unprecedented speed and magnitude. This
development will require the construction of many engineering facilities
which are affected by the water resources. The design of each of these
requires an understanding of the hydrologic system, a system which is
dominated in Alaska by low temperatures, high latitudes, large elevation
differences and sparse data. The latter factor is unique to Alaska and
makes application of common design techniques virtually impossible
A Catalog of Hydroclimatological Data for Alaska's Coastal Zone
In order to perceive a better understanding of the interrelationships of
the coastal zone water we proposed a research project which was to sort out
many of the complex variables. The project was not begun due to the lack
of sufficient funds. We did, however, begin a limited literature search
and listing of hydroclimatological data sources of Alaska's coastal zone.
We felt this would be a modest but useful start towards the larger study.
It should also have some practical usefulness to others. This data catalog
is a result of this initial study. Because of the wide variety of types
of agency which collect data and the literally hundreds of sources through
which they are reported, it is often quite bewildering for even experienced
investigators to sort out what can be found and where. Although we are
sure that the catalog is far from complete, we feel that it is a useful
beginning towards an attempt to better understand the hydroclimatological
processes in Alaska's coastal zone. We wish to invite contributions and
criticisms which could lead to an improved and more comprehensive version
at some future date.We gratefully acknowledge the support of the Sea Grant Program of the
University of Alaska and the support and encouragement of its Director,
David Hickok. The project also received support from the Office of Water
Resources Research and the State of Alaska through the Institute of Water
Resources at the University of Alaska
Improvement of the Fairbanks Atmospheric Carbon Monoxide Transport Model -- A Program for Calibration, Verification and Implementation
Completion Report Prepared for the Research Section, Alaska Department of Transportation and Public FacilitiesIn the early 70s, state, local and federal officials in Fairbanks,
Alaska, became concerned with the rising incidence of high carbon monoxide
episodes. Because of that concern, the Alaska Department of
Highways (forerunner of the Department of Transportation and Public
Facilities) and the Fairbanks North Star Borough requested that the
Institute of Water Resources undertake a study to develop a computer
model capability for understanding the transport of carbon monoxide and
other pollutants within the Fairbanks airshed. The work was completed
in June of 1976. Two publications (Carlson and Fox, 1976; Norton and
Carlson, 1976) describe the initial development, documentation and
implementation of the computer model. The model, ACOSP (Atmospheric
Carbon monOxide Simulation Program), describes the two-dimensional
behavior of pollutants in the atmosphere via solution of the convection-diffusion
equation using the finite element method of numerical analysis
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