Zobrazeno 1 - 10
of 130
pro vyhledávání: '"Jerry L. Bona"'
Publikováno v:
Water Waves. 1:3-40
Second-order correct versions of the usual KdV–BBM models for unidirectional propagation of long-crested, surface water waves are considered here. The class of models studied here has a Hamiltonian structure and, in certain circumstances, is global
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d88a8d9e8982c61200b7b58f7c74692e
https://doi.org/10.1007/s42286-019-00003-y
https://doi.org/10.1007/s42286-019-00003-y
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 39:5543-5569
This essay is concerned with long-crested waves such as those arising in bore propagation. Such motions obtain on rivers when a surge of water invades an otherwise constantly flowing stretch and in the run-up of waves in the near-shore zone of large
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::91ce2a8191ec27d339332a8e579c9131
https://doi.org/10.3934/dcds.2019244
https://doi.org/10.3934/dcds.2019244
Publikováno v:
Indiana University Mathematics Journal. 68:1173-1198
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::56c0483bc386da4e7fbfaf9f4ef38e59
https://doi.org/10.1512/iumj.2019.68.7721
https://doi.org/10.1512/iumj.2019.68.7721
Considered here are systems of partial differential equations arising in internal wave theory. The systems are asymptotic models describing the two-way propagation of long-crested interfacial waves in the Benjamin-Ono and the Intermediate Long-Wave r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::441c0a4decc65f062e3f36b533a3ae0c
https://doi.org/10.26686/wgtn.12501845.v1
https://doi.org/10.26686/wgtn.12501845.v1
Publikováno v:
SIAM Journal on Mathematical Analysis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=r3c4b2081b22::746756153459fb16321313904719d51a
Publikováno v:
Journal of Scientific Computing. 77:1371-1401
The present study is concerned with the numerical approximation of periodic solutions of systems of Korteweg–de Vries type, coupled through their nonlinear terms. We construct, analyze and numerically validate two types of schemes that differ in th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d41046f24e77a99099926a2ed5114fb3
https://doi.org/10.1007/s10915-018-0767-x
https://doi.org/10.1007/s10915-018-0767-x
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 109:1-66
This paper is concerned with initial-boundary-value problems (IBVPs) for a class of nonlinear Schrodinger equations posed either on a half line R + or on a bounded interval ( 0 , L ) with nonhomogeneous boundary conditions. For any s with 0 ≤ s 5 /
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c8c077a3e69acbf8bafd85b1b53aba62
https://doi.org/10.1016/j.matpur.2017.11.001
https://doi.org/10.1016/j.matpur.2017.11.001
Publikováno v:
Journal of Nonlinear Science. 28:543-577
Formally second-order correct, mathematical descriptions of long-crested water waves propagating mainly in one direction are derived. These equations are analogous to the first-order approximations of KdV- or BBM-type. The advantage of these more com
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2329637306aa624b298f90c9a547a48a
https://doi.org/10.1007/s00332-017-9417-y
https://doi.org/10.1007/s00332-017-9417-y
Autor:
Jerry L. Bona, Mimi Dai
Publikováno v:
Journal of Mathematical Analysis and Applications. 446:879-885
Considered here is the periodic initial-value problem for the regularized long-wave (BBM) equation u t + u x + u u x − u x x t = 0 . Adding to previous work in the literature, it is shown here that for any s 0 , there is smooth initial data that is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::188f35eef21d08724b14b0e8cc53bb51
https://doi.org/10.1016/j.jmaa.2016.08.067
https://doi.org/10.1016/j.jmaa.2016.08.067
Autor:
Jerry L. Bona, Hongqiu Chen
Publikováno v:
Evolution Equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8309342b61eb883ea8ba800bbf67e637
https://doi.org/10.1201/9780429187599-2
https://doi.org/10.1201/9780429187599-2