On global solutions of a Zakharov type system

Thomas Beck; Fabio Pusateri; Phil Sosoe; Percy Wong

doi:10.1088/0951-7715/28/9/3419

On global solutions of a Zakharov type system

Thomas Beck, Fabio Pusateri, Phil Sosoe, Percy Wong

Mathematics

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

2 Scopus citations

Abstract

We consider a class of wave-Schrödinger systems in three dimensions with a Zakharov-type coupling. This class of systems is indexed by a parameter γ which measures the strength of the null form in the nonlinearity of the wave equation. The case corresponds to the well-known Zakharov system, while the case corresponds to the Yukawa system. Here we show that sufficiently smooth and localized Cauchy data lead to pointwise decaying global solutions which scatter, for any .

Original language	English (US)
Pages (from-to)	3419-3441
Number of pages	23
Journal	Nonlinearity
Volume	28
Issue number	9
DOIs	https://doi.org/10.1088/0951-7715/28/9/3419
State	Published - Sep 1 2015

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

Keywords

Yukawa system
Zakharov system
global solutions

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10.1088/0951-7715/28/9/3419

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title = "On global solutions of a Zakharov type system",

abstract = "We consider a class of wave-Schr{\"o}dinger systems in three dimensions with a Zakharov-type coupling. This class of systems is indexed by a parameter γ which measures the strength of the null form in the nonlinearity of the wave equation. The case corresponds to the well-known Zakharov system, while the case corresponds to the Yukawa system. Here we show that sufficiently smooth and localized Cauchy data lead to pointwise decaying global solutions which scatter, for any .",

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author = "Thomas Beck and Fabio Pusateri and Phil Sosoe and Percy Wong",

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T1 - On global solutions of a Zakharov type system

AU - Beck, Thomas

AU - Pusateri, Fabio

AU - Sosoe, Phil

AU - Wong, Percy

PY - 2015/9/1

Y1 - 2015/9/1

N2 - We consider a class of wave-Schrödinger systems in three dimensions with a Zakharov-type coupling. This class of systems is indexed by a parameter γ which measures the strength of the null form in the nonlinearity of the wave equation. The case corresponds to the well-known Zakharov system, while the case corresponds to the Yukawa system. Here we show that sufficiently smooth and localized Cauchy data lead to pointwise decaying global solutions which scatter, for any .

AB - We consider a class of wave-Schrödinger systems in three dimensions with a Zakharov-type coupling. This class of systems is indexed by a parameter γ which measures the strength of the null form in the nonlinearity of the wave equation. The case corresponds to the well-known Zakharov system, while the case corresponds to the Yukawa system. Here we show that sufficiently smooth and localized Cauchy data lead to pointwise decaying global solutions which scatter, for any .

KW - Yukawa system

KW - Zakharov system

KW - global solutions

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SN - 0951-7715

VL - 28

SP - 3419

EP - 3441

JO - Nonlinearity

JF - Nonlinearity

IS - 9

ER -

On global solutions of a Zakharov type system

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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