LOCAL EXISTENCE OF A MULTI-SPECIES CHEMOTAXIS SYSTEM WITH MULTIPLE CHEMICALS AND LOGISTIC GROWTH

Kurt H. İ., Köroğlu T.

ASERC 4th INTERNATIONAL CONGRESS ON HEALTH, ENGINEERING, ARCHITECTURE and MATHEMATICS, Sankt-Peterburg, Rusya, 23 - 29 Temmuz 2026, cilt.1, sa.1, ss.133-139, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1
  • Basıldığı Şehir: Sankt-Peterburg
  • Basıldığı Ülke: Rusya
  • Sayfa Sayıları: ss.133-139
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

This paper investigates a multi-species, multi-chemical chemotaxis system incorporating both cross-diffusion and nonlinear interaction effects over a bounded domain. The study focuses on the  local  existence,  uniqueness,  and  regularity  of  positive  classical  solutions.  Utilizing  the Banach  fixed-point  theorem  and  parabolic  regularity  theory,  it  is  established  that  the  system possesses  a  unique  classical  solution  on  a  maximal  existence  interval.  Furthermore, nonnegativity of the solutions is verified through the maximum principle.

Keywords:  Chemotaxis,  Cross-diffusion,  Local  existence,  Regularity,  Multi-species  system, Parabolic-elliptic PDEs.