2,013 research outputs found
Alternating ‘flip’ solutions in ferrofluidic Taylor-Couette flow
Peer ReviewedPostprint (author's final draft
Invariant solutions organizing pipe flow turbulence
Peer ReviewedPostprint (published version
Parameter estimation for semilinear SPDEs from local measurements
This work contributes to the limited literature on estimating the diffusivity
or drift coefficient of nonlinear SPDEs driven by additive noise. Assuming that
the solution is measured locally in space and over a finite time interval, we
show that the augmented maximum likelihood estimator introduced in Altmeyer,
Reiss (2020) retains its asymptotic properties when used for semilinear SPDEs
that satisfy some abstract, and verifiable, conditions. The proofs of
asymptotic results are based on splitting the solution in linear and nonlinear
parts and fine regularity properties in -spaces. The obtained general
results are applied to particular classes of equations, including stochastic
reaction-diffusion equations. The stochastic Burgers equation, as an example
with first order nonlinearity, is an interesting borderline case of the general
results, and is treated by a Wiener chaos expansion. We conclude with numerical
examples that validate the theoretical results.Comment: corrected versio
Transient behavior between multi-cell flow states in ferrofluidic Taylor-Couette flow
Peer ReviewedPostprint (published version
Transition to turbulence in Taylor-Couette ferrofluidic flow
Y.D. was supported by Basic Science Research Program of the Ministry of Education, Science and Technology under Grant No. NRF-2013R1A1A2010067. Y.C.L. was supported by AFOSR under Grant No. FA9550-12-1-0095.Peer reviewedPublisher PD
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