### Abstract

Original language | English |
---|---|

Pages (from-to) | 205-246 |

Number of pages | 42 |

Journal | Calculus of Variations and Partial Differential Equations |

Volume | 25 |

Issue number | 2 |

Publication status | Published - Feb 2006 |

Externally published | Yes |

### Keywords

- Mean curvature flow
- Constant mean curvature hypersurfaces

### Cite this

}

*Calculus of Variations and Partial Differential Equations*, vol. 25, no. 2, pp. 205-246.

**Mean Curvature Flow with a Forcing Term in Minkowski Space.** / Aarons, Mark Andrew.

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

TY - JOUR

T1 - Mean Curvature Flow with a Forcing Term in Minkowski Space

AU - Aarons, Mark Andrew

PY - 2006/2

Y1 - 2006/2

N2 - We study the forced mean curvature flow of graphs in Minkowski space and prove longtime existence of solutions. When the forcing term is a constant, we prove convergence to either a constant mean curvature hypersurface or a translating soliton – depending on the boundary conditions at infinity.

AB - We study the forced mean curvature flow of graphs in Minkowski space and prove longtime existence of solutions. When the forcing term is a constant, we prove convergence to either a constant mean curvature hypersurface or a translating soliton – depending on the boundary conditions at infinity.

KW - Mean curvature flow

KW - Constant mean curvature hypersurfaces

M3 - Article

VL - 25

SP - 205

EP - 246

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

SN - 0944-2669

IS - 2

ER -