基本信息
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职业迁徙
个人简介
Research Interests
Multiscale Model Reduction: Markovian and non-Markovinan stochastic closures. Invariant Manifold Reduction. Parameterizing Manifolds and Multiscale Variational Approach to Closure.
Stochastic Dynamical Systems: Stochastic Invariant Manifolds and their numerical approximations. Random Attractors and Time-dependent Invariant Measures.
Analysis of Stochastic Models: The Stampacchia Maximum Principle for SPDEs.
Data-driven Stochastic Modeling: Data-adaptive Harmonic Spectra and Multiscale Stuart-Landau Models. Applications to Arctic Sea Ice Modeling, Paleoclimate records, Solar Wind-Magnetosphere Coupling, and Wind-driven Ocean Gyres. Ruelle-Pollicott Resonances from observations. Ruelle-Pollicott resonances of stochastic systems.
Optimal Control of Nonlinear Models: Reduced-order models for the Optimal Control of Nonlinear PDEs and Nonlinear Delay Differential Equations. Applications to Mitigation of Greenhouse Gas Emissions.
Nonlinear and Stochastic Climate Dynamics: Natural climate variability. Reduced-order stochastic modeling of the El Niño-Southern Oscillation. Prediction of Stochastic Systems. Applications of the geometric and ergodic theory of dynamical systems to climate dynamics.
Time-delay Systems: Hopf bifurcations in cloud-rain models. Pullback attractor transittions in an ENSO model. Galerkin approximations of nonlinear delay systems.
Multiscale Model Reduction: Markovian and non-Markovinan stochastic closures. Invariant Manifold Reduction. Parameterizing Manifolds and Multiscale Variational Approach to Closure.
Stochastic Dynamical Systems: Stochastic Invariant Manifolds and their numerical approximations. Random Attractors and Time-dependent Invariant Measures.
Analysis of Stochastic Models: The Stampacchia Maximum Principle for SPDEs.
Data-driven Stochastic Modeling: Data-adaptive Harmonic Spectra and Multiscale Stuart-Landau Models. Applications to Arctic Sea Ice Modeling, Paleoclimate records, Solar Wind-Magnetosphere Coupling, and Wind-driven Ocean Gyres. Ruelle-Pollicott Resonances from observations. Ruelle-Pollicott resonances of stochastic systems.
Optimal Control of Nonlinear Models: Reduced-order models for the Optimal Control of Nonlinear PDEs and Nonlinear Delay Differential Equations. Applications to Mitigation of Greenhouse Gas Emissions.
Nonlinear and Stochastic Climate Dynamics: Natural climate variability. Reduced-order stochastic modeling of the El Niño-Southern Oscillation. Prediction of Stochastic Systems. Applications of the geometric and ergodic theory of dynamical systems to climate dynamics.
Time-delay Systems: Hopf bifurcations in cloud-rain models. Pullback attractor transittions in an ENSO model. Galerkin approximations of nonlinear delay systems.
研究兴趣
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JOURNAL OF ADVANCES IN MODELING EARTH SYSTEMSno. 4 (2024)
Journal of Advances in Modeling Earth Systemsno. 4 (2024)
arxiv(2024)
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PHYSICA D-NONLINEAR PHENOMENA (2024): 134058-134058
Nature Reviews Physicsno. 12 (2023): 744-765
arXiv (Cornell University) (2023)
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