Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Valery I. Klyatskin"'
Autor:
Valery I. Klyatskin
Fluctuating parameters appear in a variety of physical systems and phenomena. They typically come either as random forces/sources, or advecting velocities, or media (material) parameters, like refraction index, conductivity, diffusivity, etc. The wel
Autor:
Valery I. Klyatskin
This book addresses the processes of stochastic structure formation in two-dimensional geophysical fluid dynamics based on statistical analysis of Gaussian random fields, as well as stochastic structure formation in dynamic systems with parametric ex
Autor:
Valery I. Klyatskin
Publikováno v:
Understanding Complex Systems ISBN: 9783319569215
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ff3dfacdbbcf14a35e21c04e777cf8a
https://doi.org/10.1007/978-3-319-56922-2_1
https://doi.org/10.1007/978-3-319-56922-2_1
Autor:
Valery I. Klyatskin
Publikováno v:
Understanding Complex Systems ISBN: 9783319569215
The problem on plane wave propagation in layered media is formulated in terms of the one-dimensional boundary-value problem.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a4bf34d0b7d01c1aa5670d3769315f9
https://doi.org/10.1007/978-3-319-56922-2_7
https://doi.org/10.1007/978-3-319-56922-2_7
Autor:
Valery I. Klyatskin
Publikováno v:
Understanding Complex Systems ISBN: 9783319569215
As the first example, consider in more detail stochastic equation of the second order ( 2.3), which is equivalent to the system of equations of the first order.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac23bbcf6183dfa2f4a5bee338689610
https://doi.org/10.1007/978-3-319-56922-2_6
https://doi.org/10.1007/978-3-319-56922-2_6
Autor:
Valery I. Klyatskin
Publikováno v:
Understanding Complex Systems ISBN: 9783319569215
Let us consider now a positive lognormal random field \(f(\mathbf {r}, t)\), whose one-point probability density.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::31dc541d2888a7af1d9f7e38aa427a05
https://doi.org/10.1007/978-3-319-56922-2_8
https://doi.org/10.1007/978-3-319-56922-2_8
Autor:
Valery I. Klyatskin
Publikováno v:
Understanding Complex Systems ISBN: 9783319569215
The random velocity field \(\mathbf {u}(\mathbf {r}, t)\) will be considered Gaussian, statistically homogeneous and isotropic in space, and stationary in time, with the respective correlation and spectral functions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d7c375b0f0350425827a75ca587bcb68
https://doi.org/10.1007/978-3-319-56922-2_4
https://doi.org/10.1007/978-3-319-56922-2_4
Autor:
Valery I. Klyatskin
Publikováno v:
Understanding Complex Systems ISBN: 9783319569215
Stochastic structure formation in a spatially homogeneous statistical problem on diffusion of the density field.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::81df6e02d0524eaabc0885cd4a579df7
https://doi.org/10.1007/978-3-319-56922-2_9
https://doi.org/10.1007/978-3-319-56922-2_9
Autor:
Valery I. Klyatskin
Publikováno v:
Understanding Complex Systems ISBN: 9783319569215
Turn now to the simplest model of the velocity field ( 3.4) that allows a solution in the analytic form ( 3.55).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::13598d1bbd96724d491bb7a29fcb5136
https://doi.org/10.1007/978-3-319-56922-2_10
https://doi.org/10.1007/978-3-319-56922-2_10
Autor:
Valery I. Klyatskin
Publikováno v:
Understanding Complex Systems ISBN: 9783319569215
One of the simplest physical problems related to parametric excitation is the problem on diffusion of a particle or an ensemble of particles in a random velocity field \(\mathbf {u}(\mathbf {r}, t)\) with given statistical properties in the kinematic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ae78c6786b93694b4e39d30172ec3397
https://doi.org/10.1007/978-3-319-56922-2_3
https://doi.org/10.1007/978-3-319-56922-2_3