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We present here the results from dynamical and thermal models that describe a channeled lava flow as it cools by radiation. In particular, the effects of power-law rheology and of the presence of bend...
The use of a lava-flow simulation (DOWNFLOW) probabilistic code and airborne light detection and ranging (LIDAR) technology are combined to analyze the emplacement of compound lava flow fields at Moun...
A smoothed particle hydrodynamics (SPH) method for lava-flow modeling was implemented on a graphical processing unit (GPU) using the compute unified device architecture (CUDA) developed by NVIDIA. Thi...
This report presents a retrospective methodology to validate a long-term hazard map related to lava-flow invasion at Mount Etna, the most active volcano in Europe. A lava-flow hazard map provides the ...
The forced van der Pol oscillator has been the focus of scientific scrutiny for almost a century, yet its global bifurcation structure is still poorly understood. In this paper, we present a hybrid s...
The ability of flow cytometry to allow fast single cell interrogation of a large number of cells has made this technology ubiquitous and indispensable in the clinical and laboratory setting. A ...
In this paper, we first derive a pinching estimate on the traceless Ricci curvature in term of scalar curvature and Weyl tensor under the Ricci flow. Then we apply this estimate to study...
We prove Gaussian type bounds for the fundamental solution of the conjugate heat equation evolving under the Ricci flow. As a consequence, for dimension 4 and higher, we show that the backward ...
In this paper, we study the positive cross curvature flow on locally homogeneous 3-manifolds. We describe the long time behavior of these flows. We combine this with earlier results conc...
In this paper, we study the backward Ricci flow on locally homogeneous 3-manifolds. We describe the long time behavior and show that, typically and after a proper re-scaling, there is converge...
In this paper, we derive a general evolution formula for possible Harnack quantities. As a consequence, we prove several differential Harnack inequalities for positive solutions of backward hea...
In this paper, we prove that the first eigenvalues of −∆ + cR (c ≥ 1 4 ) is nondecreasing under the Ricci flow. We also prove the monotonicity under the normalized Ricci &...
Chow and Hamilton introduced the cross curvature flow on closed 3- manifolds with negative or positive sectional curvature. In this paper, we study the negative cross curvature flow in t...
Traditional methods of delineating stream channel networks use gridded raster elevation data. Direct use of LiDAR point clouds, without first creating a raster or grid, could improve efficiency and ac...
Researchers often use only surface drainage (imperical method) as a tradition to locate sites for installation of water quality monitoring wells, and soil sampling profile for pollution studies in urb...

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