Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Daniel J. Ratliff"'
Autor:
Oliver Allanson, Donglai Ma, Adnane Osmane, Jay M. Albert, Jacob Bortnik, Clare E. J. Watt, Sandra C. Chapman, Joseph Spencer, Daniel J. Ratliff, Nigel P. Meredith, Thomas Elsden, Thomas Neukirch, David P. Hartley, Rachel Black, Nicholas W. Watkins, Sean Elvidge
Publikováno v:
Frontiers in Astronomy and Space Sciences, Vol 11 (2024)
Quasilinear theories have been shown to well describe a range of transport phenomena in magnetospheric, space, astrophysical and laboratory plasma “weak turbulence” scenarios. It is well known that the resonant diffusion quasilinear theory for th
Externí odkaz:
https://doaj.org/article/6412a26bbcba4276a29df5ad318ee67c
Autor:
Thomas J. Bridges, Daniel J. Ratliff
Publikováno v:
Wave Motion. 115:103050
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c18b10597962d79a55440f43f79861a
https://doi.org/10.1016/j.wavemoti.2022.103050
https://doi.org/10.1016/j.wavemoti.2022.103050
Autor:
Daniel J. Ratliff, Thomas J. Bridges
Publikováno v:
Studies in Applied Mathematics. 142:314-335
In classical Whitham modulation theory, the transition of the dispersionless Whitham equations from hyperbolic to elliptic is associated with a pair of nonzero purely imaginary eigenvalues coalescing and becoming a complex quartet, suggesting that a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aebcd29df2bc1deabb4213d51b19cbbb
https://doi.org/10.1111/sapm.12256
https://doi.org/10.1111/sapm.12256
Autor:
Daniel J. Ratliff, Thomas J. Bridges
The multiphase Whitham modulation equations with $N$ phases have $2N$ characteristics which may be of hyperbolic or elliptic type. In this paper a nonlinear theory is developed for coalescence, where two characteristics change from hyperbolic to elli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ab00569009d4ead11a49179c3f1f984a
http://arxiv.org/abs/2005.01022
http://arxiv.org/abs/2005.01022
Autor:
Alastair M. Rucklidge, Daniel J. Ratliff, Priya Subramanian, Chad M. Topaz, Jennifer K. Castelino
In coupled reaction-diffusion systems, modes with two different length scales can interact to produce a wide variety of spatiotemporal patterns. Three-wave interactions between these modes can explain the occurrence of spatially complex steady patter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52e0a6892eb08d436f101d247577910c
https://doi.org/10.1016/j.physd.2020.132475
https://doi.org/10.1016/j.physd.2020.132475
Autor:
Daniel J. Ratliff, Thomas J. Bridges
Publikováno v:
Nonlinearity. 31:3794-3813
The main observation of this paper is that the modified Korteweg-de Vries equation has its natural origin in phase modulation of a basic state such as a periodic travelling wave, or more generally, a family of relative equilibria. Extension to 2 + 1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3827d7905d17ac6ab3d9daff9abea610
https://doi.org/10.1088/1361-6544/aabfab
https://doi.org/10.1088/1361-6544/aabfab
Autor:
Daniel J. Ratliff
Publikováno v:
IMA Journal of Applied Mathematics. 82:1151-1170
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::179f50729d3a0049b76efdfd02595d38
https://doi.org/10.1093/imamat/hxx028
https://doi.org/10.1093/imamat/hxx028
Autor:
Daniel J. Ratliff
Publikováno v:
Physica D: Nonlinear Phenomena. :11-19
Using the previous approach outlined in Ratliff and Bridges (2016, 2015), a novel method is presented to derive the fifth order Kadomtsev–Petviashvili(KP) equation from periodic wavetrains. As a result, the coefficients and criterion for the fifth
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b5854ba2c3e561d859ccdd059b559bbe
https://doi.org/10.1016/j.physd.2017.05.004
https://doi.org/10.1016/j.physd.2017.05.004
Autor:
Daniel J. Ratliff
Publikováno v:
Studies in Applied Mathematics. 140:48-77
In recent years, a connection between conservation law singularity, or more generally zero characteristics arising within the linear Whitham equations, and the emergence of reduced nonlinear partial differential equations (PDEs) from systems generate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::316fb39b87f222e3a47ce76d69d1a8f7
https://doi.org/10.1111/sapm.12189
https://doi.org/10.1111/sapm.12189
Autor:
Thomas J. Bridges, Daniel J. Ratliff
Publikováno v:
SIAM Journal on Applied Mathematics. 77:1989-2011
The dispersionless Whitham modulation equations in one space dimension and time are generically hyperbolic or elliptic, and breakdown at the transition, which is a curve in the frequency-wavenumber plane. In this paper, the modulation theory is refor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd28f0a1b39c4acd4517b9ca43a64423
https://doi.org/10.1137/17m1111437
https://doi.org/10.1137/17m1111437