The role of the mixed-quadratic damping in the construction of solutions to chemotaxis system with singular sensitivity
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0230608
Abstract: A chemotaxis system with singular sensitivity for criminal activities is considered over a smoothly bounded domain Ω⊂Rn with n ≥ 3: ut=Δu−χ∇⋅uv∇v−κuv+h1, vt = Δv − v + u + h2, where hi, i =… read more here.
Keywords: quadratic damping; chemotaxis system; mixed quadratic; singular sensitivity ... See more keywords
Stochastic functional Hamiltonian system with singular coefficients
Sign Up to like & getrecommendations! Published in 2020 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2020060
Abstract: By Zvonkin type transforms, the existence and uniqueness of the strong solutions for a class of stochastic functional Hamiltonian systems are obtained, where the drift contains a Holder-Dini continuous perturbation. Moreover, under some reasonable conditions,… read more here.
Keywords: singular coefficients; stochastic functional; hamiltonian system; functional hamiltonian ... See more keywords