• 제목/요약/키워드: Anderson-Chaplain model

검색결과 1건 처리시간 0.013초

TEMPORAL DECAY OF SOLUTIONS FOR A CHEMOTAXIS MODEL OF ANGIOGENESIS TYPE

  • Jaewook Ahn;Myeonghyeon Kim
    • 대한수학회지
    • /
    • 제60권3호
    • /
    • pp.619-634
    • /
    • 2023
  • This paper considers a parabolic-hyperbolic-hyperbolic type chemotaxis system in ℝd, d ≥ 3, describing tumor-induced angiogenesis. The global existence result and temporal decay estimate for a unique mild solution are established under the assumption that some Sobolev norms of initial data are sufficiently small.