Title: On full Zakharov equation and its approximations
Authors: Bobkov, Vladimír
Drábek, Pavel
Ilyasov, Yavdat
Citation: BOBKOV, V., DRÁBEK, P., ILYASOV, Y. On full Zakharov equation and its approximations. Physica d-nonlinear phenomena, 2020, roč. 401, č. January 2020, article 132168, s. 1-8. ISSN 0167-2789.
Issue Date: 2020
Publisher: Elsevier
Document type: článek
URI: 2-s2.0-85071476615
ISSN: 0167-2789
Keywords in different language: Zakharov equations;Langmuir collapse;Ground state;Variational methods.
Abstract in different language: 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.
Rights: Plný text není přístupný.
© Elsevier
Appears in Collections:Články / Articles (NTIS)
Články / Articles (KMA)

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