Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Richards, Geordie"'
Publikováno v:
In Physica D: Nonlinear Phenomena September 2024 465
This paper considers the damped periodic Korteweg-de Vries (KdV) equation in the presence of a white-in-time and spatially smooth stochastic source term and studies the long-time behavior of solutions. We show that the integrals of motion for KdV can
Externí odkaz:
http://arxiv.org/abs/2103.12942
Publikováno v:
In Energy and AI January 2024 15
Publikováno v:
In Energy Conversion and Management: X April 2023 18
An analytical framework for the propagation of velocity errors into PIV-based pressure calculation is extended. Based on this framework, the optimal spatial resolution and the corresponding minimum field-wide error level in the calculated pressure fi
Externí odkaz:
http://arxiv.org/abs/1807.03958
Publikováno v:
In Applied Energy 1 July 2022 317
We investigate the stability of statistically stationary conductive states for Rayleigh-B\'enard convection that arise due to a bulk stochastic internal heating. Our results indicate that stochastic forcing at small magnitude has little to no effect,
Externí odkaz:
http://arxiv.org/abs/1704.03840
We consider the three-dimensional magnetohydrodynamics (MHD) equations in the presence of a spatially degenerate stochastic forcing as a model for magnetostrophic turbulence in the Earth's fluid core. We examine the multi-parameter singular limit of
Externí odkaz:
http://arxiv.org/abs/1604.06352
We illustrate how the notion of asymptotic coupling provides a flexible and intuitive framework for proving the uniqueness of invariant measures for a variety of stochastic partial differential equations whose deterministic counterpart possesses a fi
Externí odkaz:
http://arxiv.org/abs/1512.04126
We consider the defocusing generalized KdV equations on the circle. In particular, we construct global-in-time solutions with initial data distributed according to the Gibbs measure and show that the law of the random solutions, at any time, is again
Externí odkaz:
http://arxiv.org/abs/1509.06873