MathDB6 problems
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Conjecture on reduced-order approximation rates in the high-frequency regime
Consider reduced-order approximations of seismic wave solutions, with accuracy measured by the convergence rate of the approximation error as the reduced basis is enriched. High-fr…
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Conjecture that seismograms correlate more strongly with solutions than solution symmetries
Consider reduced-basis approximations of seismic wave solutions and their frequency-domain seismogram outputs. Correlation conjecture. The correlation between the seismograms and t…
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Conjecture that reduced-order models can expedite seismological problems
The reduced-order model (ROM) is constructed using proper orthogonal decomposition and reduced-basis methods for seismic wave propagation, with seismograms as the observed outputs…
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Conjecture on fitting a solvable stressed-plate model to tectonic pulsations
Consider a solvable zero-range model of a point-wise stressed thin tectonic plate, with parameters fitted using instrumental measurements of SGO and a modified Krein formula for pe…
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Conjecture that extended SGO frequency growth precedes strong earthquakes
Let SGO denote the observed seismic oscillations, and let an extended growth of frequency mean a sustained increase of the frequency of an SGO mode over time. Earthquake-precursor…
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Conjecture interpreting transversal SGO as flexural eigen-modes of tectonic plates
Let SGO denote the observed transversal modes discussed in the source, and let flexural eigen-modes be the oscillatory modes of relatively thin tectonic plates. SGO interpretation…