SMOOTHING PROPERTIES FOR A COUPLED ZAKHAROV-KUZNETSOV SYSTEM

Julie L. Levandosky; Octavio Vera

doi:10.58997/ejde.2023.11

SMOOTHING PROPERTIES FOR A COUPLED ZAKHAROV-KUZNETSOV SYSTEM

Julie L. Levandosky
, Octavio Vera

Department of Mathematics

Framingham State University

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

Abstract

In this article we study the smoothness properties of solutions to a two-dimensional coupled Zakharov-Kuznetsov system. We show that the equations dispersive nature leads to a gain in regularity for the solution. In particular, if the initial data (u₀, v₀) possesses certain regularity and sufficient decay as x → ∞, then the solution (u(t), v(t)) will be smoother than (u₀, v₀) for 0 < t ≤ T where T is the existence time of the solution.

Original language	English
Article number	11
Journal	Electronic Journal of Differential Equations
Volume	2023
DOIs	https://doi.org/10.58997/ejde.2023.11
State	Published - 2023

Keywords

Coupled Zakharov-Kuznetsov system
gain in regularity
weighted Sobolev space

Access to Document

10.58997/ejde.2023.11

Cite this

@article{7fe05f165cae4efe9d22533b9392c963,

title = "SMOOTHING PROPERTIES FOR A COUPLED ZAKHAROV-KUZNETSOV SYSTEM",

abstract = "In this article we study the smoothness properties of solutions to a two-dimensional coupled Zakharov-Kuznetsov system. We show that the equations dispersive nature leads to a gain in regularity for the solution. In particular, if the initial data (u0, v0) possesses certain regularity and sufficient decay as x → ∞, then the solution (u(t), v(t)) will be smoother than (u0, v0) for 0 < t ≤ T where T is the existence time of the solution.",

keywords = "Coupled Zakharov-Kuznetsov system, gain in regularity, weighted Sobolev space",

author = "Levandosky, \{Julie L.\} and Octavio Vera",

note = "Publisher Copyright: {\textcopyright} 2023, Texas State University - San Marcos.",

year = "2023",

doi = "10.58997/ejde.2023.11",

language = "English",

volume = "2023",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

}

TY - JOUR

T1 - SMOOTHING PROPERTIES FOR A COUPLED ZAKHAROV-KUZNETSOV SYSTEM

AU - Levandosky, Julie L.

AU - Vera, Octavio

PY - 2023

Y1 - 2023

N2 - In this article we study the smoothness properties of solutions to a two-dimensional coupled Zakharov-Kuznetsov system. We show that the equations dispersive nature leads to a gain in regularity for the solution. In particular, if the initial data (u0, v0) possesses certain regularity and sufficient decay as x → ∞, then the solution (u(t), v(t)) will be smoother than (u0, v0) for 0 < t ≤ T where T is the existence time of the solution.

AB - In this article we study the smoothness properties of solutions to a two-dimensional coupled Zakharov-Kuznetsov system. We show that the equations dispersive nature leads to a gain in regularity for the solution. In particular, if the initial data (u0, v0) possesses certain regularity and sufficient decay as x → ∞, then the solution (u(t), v(t)) will be smoother than (u0, v0) for 0 < t ≤ T where T is the existence time of the solution.

KW - Coupled Zakharov-Kuznetsov system

KW - gain in regularity

KW - weighted Sobolev space

UR - https://www.scopus.com/pages/publications/85148524226

U2 - 10.58997/ejde.2023.11

DO - 10.58997/ejde.2023.11

M3 - Article

AN - SCOPUS:85148524226

SN - 1072-6691

VL - 2023

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

M1 - 11

ER -

SMOOTHING PROPERTIES FOR A COUPLED ZAKHAROV-KUZNETSOV SYSTEM

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this