Solutions analytiques à une équation de type Vlasov fortement non linéaire

Pierre Emmanuel Jabin; A. Nouri

doi:10.1016/j.crma.2011.03.024

Solutions analytiques à une équation de type Vlasov fortement non linéaire

Translated title of the contribution: Analytic solutions to a strongly nonlinear Vlasov equation

Pierre Emmanuel Jabin
, A. Nouri

Mathematics

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

We prove the existence for short times of analytic solutions to a Vlasov type equation. The corresponding model is one-dimensional but uses a quite singular force term which involves a full derivative in x of the macroscopic density, making the existence of solutions a difficult question.

Translated title of the contribution	Analytic solutions to a strongly nonlinear Vlasov equation
Original language	French
Pages (from-to)	541-546
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	349
Issue number	9-10
DOIs	https://doi.org/10.1016/j.crma.2011.03.024
State	Published - May 2011

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.crma.2011.03.024

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title = "Solutions analytiques {\`a} une {\'e}quation de type Vlasov fortement non lin{\'e}aire",

abstract = "We prove the existence for short times of analytic solutions to a Vlasov type equation. The corresponding model is one-dimensional but uses a quite singular force term which involves a full derivative in x of the macroscopic density, making the existence of solutions a difficult question.",

author = "Jabin, \{Pierre Emmanuel\} and A. Nouri",

note = "Funding Information: The authors were partially supported by the I. Newton Institute, Cambridge University.",

year = "2011",

month = may,

doi = "10.1016/j.crma.2011.03.024",

language = "French",

volume = "349",

pages = "541--546",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Academie des sciences",

number = "9-10",

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T1 - Solutions analytiques à une équation de type Vlasov fortement non linéaire

AU - Jabin, Pierre Emmanuel

AU - Nouri, A.

N1 - Funding Information: The authors were partially supported by the I. Newton Institute, Cambridge University.

PY - 2011/5

Y1 - 2011/5

N2 - We prove the existence for short times of analytic solutions to a Vlasov type equation. The corresponding model is one-dimensional but uses a quite singular force term which involves a full derivative in x of the macroscopic density, making the existence of solutions a difficult question.

AB - We prove the existence for short times of analytic solutions to a Vlasov type equation. The corresponding model is one-dimensional but uses a quite singular force term which involves a full derivative in x of the macroscopic density, making the existence of solutions a difficult question.

UR - https://www.scopus.com/pages/publications/79956196875

UR - https://www.scopus.com/pages/publications/79956196875#tab=citedBy

U2 - 10.1016/j.crma.2011.03.024

DO - 10.1016/j.crma.2011.03.024

M3 - Article

AN - SCOPUS:79956196875

SN - 1631-073X

VL - 349

SP - 541

EP - 546

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 9-10

ER -

Solutions analytiques à une équation de type Vlasov fortement non linéaire

Abstract

All Science Journal Classification (ASJC) codes

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