İlgi alanları

• MakaleYalnız künye2026Scopus SJRQ2/r/bayburt/12670
  Boundedness in a parabolic-elliptic chemotaxis system with logistic source involving the exponents depending on the spatial variables and nonlinear signal productions

  Ayazoglu, Rabil; Simsek, Ramazan

  This paper considers the global boundedness of solutions to the parabolic-elliptic chemotaxis system with a logistic source involving exponents that depend on spatial variables and nonlinear signal production: (Formula presented.) where (Formula presented.), μ, (Formula presented.), and (Formula presented.) is a measurable function, subject to the homogeneous Neumann boundary conditions in a bounded domain (Formula presented.) with smooth boundary. We prove that if either (Formula presented.), (Formula presented.) or (Formula presented.) with (Formula presented.) or (Formula presented.) with (Formula presented.), (Formula presented.) or (Formula presented.), then the above system possesses a unique global bounded classical solution.

  AtıfScopus1·WoS1·OpenAlex1

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• MakaleAçık Erişim2026Scopus SJRQ1/r/bayburt/11419
  GLOBAL BOUNDEDNESS IN A CHEMOTAXIS MODEL WITH SIGNAL-DEPENDENT MOTILITY AND LOGISTIC SOURCE WITH VARIABLE COEFFICIENTS

  Ayazoglu, Rabil; Simsek, Ramazan

  This paper deals with the following parabolic-parabolic chemotaxis system with growth source { u _ t = ∇· (γ (ε) ∇ u) - ∇· (χ (ε) u ∇v) + η (x) u - μ (x) u ^ α, x ∈Ω, t > 0,; v _ t = Δ v - v + u ^ β, x ∈Ω, t > 0, ]. under homogeneous Neumann boundary conditions in a smooth bounded domain Ω⊂ℝ^N (N≥ 2), and the parameters β >0, α >1, and γ ,χ are positive motility functions. Moreover, we assume that η (x) ^ m + α - 1/α - 1/(μ (x) - μ_ *) ^ m/α - 1 is integrable for some m ≥ 1, where η(·) and μ(·) are positive measurable functions satisfying μ(x) > μ_* > 0 for almost every x ∈Ω. Under these conditions, if α > max{2β, 2}, then the system possesses a unique global bounded classical solution.

  İncele
• MakaleYalnız künye2020Scopus SJRQ3/r/bayburt/13570
  Some harmonic problems on the tangent bundle with a berger-type deformed sasaki metric

  Altunbas, Murat; Simsek, Ramazan; Gezer, Aydin

  Let (M2k, ϕ, g) be an almost anti-paraHermitian manifold and (T M, gBS) be its tangent bundle with a Berger type deformed Sasaki metric gBS . In this paper, we deal with the harmonicity of the canonical projection π: T M → M and a vector field ξ which is considered as a map ξ: M → T M.

  AtıfScopus9

  İncele
• MakaleAçık Erişim2019Scopus SJRQ3/r/bayburt/13837
  A study concerning berger type deformed sasaki metric on the tangent bundle

  Altunbas, Murat; Simsek, Ramazan; Gezer, Aydın

  Let TM be the tangent bundle over an almost anti-paraHermitian manifold endowed with Berger type deformed Sasaki metric gBS. In this paper,first, we obtain the Levi-Civita connection of this metric and study geodesics on TM. Secondly, we construct some almost anti-paraHermitian structures on TM and search conditions for these structures to be anti-paraKähler and quasi-anti-paraKähler. Finally, we present certain Riemannian curvature properties of (TM, gBS).

  AtıfScopus36·OpenAlex21

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