New seafloor mapping and sampling demonstrates that the eruption of the high-Ca boninites is clearly associated with rifting of the northern Tonga ridge and the northern Lau Basin at the northern termination of the Tonga Trench. There is very strong evidence for OIB plume related mantle sources involved in the...
An application of the theory of conditionally Gaussian random
processes to filtering and stochastic control problems is presented
here. The results due to Liptser and Shiryayev are proved to hold
in the multidimensional case under somewhat relaxed conditions,
when compared to the original ones. Such a generalization is required
The objective of the work presented herein is the development of the extended Kalman filter for nonlinear system modeling. A standard Kalman filter is a well-known filter for estimating the state of a system, assuming the system is linear and it has a Gaussian distribution in its noise. In reality,...
While the stability of time-homogeneous Markov chains have been extensively studied through the concept of mixing times, the stability of time-inhomogeneous Markov chains has not been studied as in depth. In this manuscript we will introduce special types of time-inhomogeneous Markov chains that are defined through an adiabatic transition. After...
A complete solution, exact to second-order, for wave motion
forced by a hinged-wavemaker of variable-draft is presented. A
solution for a piston type wavemaker is also obtained as a special
case of a hinged-wavemaker with negative infinite draft. The
existing Stokes inviscid theories for mass transport is extended to
A time-dependent, spectral, barotropic model and a similar
two-layer primitive equation model are developed to investigate the
planetary-scale wave responses to various types of large-scale
forcing: vorticity and heat sources, and sea surface temperature (SST)
anomalies. Both models are linearized about the zonal mean states of
The displacement of the free liquid surface in geothermal and
hydrologic reservoirs is an important capacitance factor. An
iterative approach to determining the drawdown of the free liquid
surface for a single sink region in a homogeneous, isotropic, Darcy-type
porous mediums is discussed. The iterative approach involves a
An observability problem for both deterministic and stochastic
systems is studied here.
Deterministic observability is a determination of whether every
state of the system is connected to the observation mechanism and how
it is connected, if connected. On the other hand, stochastic
observability discusses the "tightness" of the connection in...
We discuss a mathematical model arising in the melting
of a fluid in two spatial dimensions and in time. The
model leads to a free boundary value problem for
determining the location of the interface as well as the
temperature distribution. The movement of the interface
depends on the temperatures,...