A construction of patterns with many critical points on topological tori

Putri Zahra Kamalia; Shigeru Sakaguchi

doi:10.1007/s00030-020-00643-x

A construction of patterns with many critical points on topological tori

Putri Zahra Kamalia, Shigeru Sakaguchi

INF - System Information Sciences

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

1 Citation (Scopus)

Abstract

We consider reaction–diffusion equations on closed surfaces in R³ having genus 1. Stable nonconstant stationary solutions are often called patterns. The purpose of this paper is to construct closed surfaces together with patterns having as many critical points as one wants.

Original language	English
Article number	39
Journal	Nonlinear Differential Equations and Applications
Volume	27
Issue number	4
DOIs	https://doi.org/10.1007/s00030-020-00643-x
Publication status	Published - 2020 Aug 1

Keywords

Closed surface having genus 1
Critical point
Pattern
Reaction–diffusion equation
Semilinear elliptic equation
Stable solution
Torus

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1007/s00030-020-00643-x

Cite this

@article{5569106ceb8d42f09e78e8fbfd23c080,

title = "A construction of patterns with many critical points on topological tori",

abstract = "We consider reaction–diffusion equations on closed surfaces in R3 having genus 1. Stable nonconstant stationary solutions are often called patterns. The purpose of this paper is to construct closed surfaces together with patterns having as many critical points as one wants.",

keywords = "Closed surface having genus 1, Critical point, Pattern, Reaction–diffusion equation, Semilinear elliptic equation, Stable solution, Torus",

author = "Kamalia, {Putri Zahra} and Shigeru Sakaguchi",

note = "Funding Information: This research was partially supported by the Grant-in-Aid for Scientific Research (B) ( 18H01126) of Japan Society for the Promotion of Science. Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",

year = "2020",

month = aug,

day = "1",

doi = "10.1007/s00030-020-00643-x",

language = "English",

volume = "27",

journal = "Nonlinear Differential Equations and Applications",

issn = "1021-9722",

publisher = "Birkhauser Verlag Basel",

number = "4",

}

TY - JOUR

T1 - A construction of patterns with many critical points on topological tori

AU - Kamalia, Putri Zahra

AU - Sakaguchi, Shigeru

N1 - Funding Information: This research was partially supported by the Grant-in-Aid for Scientific Research (B) ( 18H01126) of Japan Society for the Promotion of Science. Publisher Copyright: © 2020, Springer Nature Switzerland AG.

PY - 2020/8/1

Y1 - 2020/8/1

N2 - We consider reaction–diffusion equations on closed surfaces in R3 having genus 1. Stable nonconstant stationary solutions are often called patterns. The purpose of this paper is to construct closed surfaces together with patterns having as many critical points as one wants.

AB - We consider reaction–diffusion equations on closed surfaces in R3 having genus 1. Stable nonconstant stationary solutions are often called patterns. The purpose of this paper is to construct closed surfaces together with patterns having as many critical points as one wants.

KW - Closed surface having genus 1

KW - Critical point

KW - Pattern

KW - Reaction–diffusion equation

KW - Semilinear elliptic equation

KW - Stable solution

KW - Torus

UR - http://www.scopus.com/inward/record.url?scp=85087835951&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85087835951&partnerID=8YFLogxK

U2 - 10.1007/s00030-020-00643-x

DO - 10.1007/s00030-020-00643-x

M3 - Article

AN - SCOPUS:85087835951

VL - 27

JO - Nonlinear Differential Equations and Applications

JF - Nonlinear Differential Equations and Applications

SN - 1021-9722

IS - 4

M1 - 39

ER -

A construction of patterns with many critical points on topological tori

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this