On full Zakharov equation and its approximations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F20%3A43955660" target="_blank" >RIV/49777513:23520/20:43955660 - isvavai.cz</a>
Result on the web
<a href="http://www.elsevier.com/locate/physd" target="_blank" >http://www.elsevier.com/locate/physd</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physd.2019.132168" target="_blank" >10.1016/j.physd.2019.132168</a>

Result language
angličtina
Original language name
On full Zakharov equation and its approximations
Original language description
We study the solvability of the Zakharov equation in a bounded domain under homogeneous Dirichlet or Navier boundary conditions. This problem is a consequence of the system of equations derived by Zakharov to model the Langmuir collapse in plasma physics. Assumptions for the existence and nonexistence of a ground state solution as well as the multiplicity of solutions are discussed. Moreover, we consider formal approximations of the Zakharov equation obtained by the Taylor expansion of the exponential term. We illustrate that the existence and nonexistence results are substantially different from the corresponding results for the original problem.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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