Results 21 to 30 of about 4,429,182 (354)
Strong and Weak Leonov Functions for Global Boundedness of State Periodic Systems
IEEE Transactions on Automatic Control, 2023 We present new results for the analysis of global boundedness of state periodic systems. Thereby, we address both the case of systems, whose dynamics is periodic with respect to a part of the state vector, and the case of systems, whose dynamics is ...
Johannes Schiffer, D. Efimov
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Electronic Journal of Qualitative Theory of Differential Equations, 2023 This paper is devoted to studying the following quasilinear parabolic-elliptic-elliptic chemotaxis system \begin{equation*} \begin{cases} u_{t}=\nabla\cdot(\varphi(u)\nabla u-\psi(u)\nabla v)+au-bu^{\gamma},\ &\ \ x\in \Omega, \ t>0,\\[2.5mm] 0 ...
Chang-Jian Wang, Ya-Jie Zhu, Xin-Cai Zhu
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On the global boundedness of Fourier integral operators [PDF]
Annals of Global Analysis and Geometry, 2010 30 ...
CORDERO, Elena +2 more
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Mathematical Biosciences and Engineering, 2022 This paper establishes the existence of globally bounded classical solutions to a predator-prey model with attraction-repulsion taxis in a smooth bounded domain of any dimensions with Neumann boundary conditions.
Wenbin Lyu
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Global boundedness of classical solutions to a logistic chemotaxis system with singular sensitivity
Discrete & Continuous Dynamical Systems - B, 2021 We consider a chemotaxis system with singular sensitivity and logistic-type source: \begin{document}$ u_t = \Delta u-\chi\nabla\cdot(\frac{u}{v}\nabla v)+ru-\mu u^k $\end{document} , \begin{document}$ v_t = \epsilon\Delta v-v+u $\end{document} in a ...
Xiangdong Zhao
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Вестник КазНУ. Серия математика, механика, информатика, 2022 The paper considers the global Morrey-type spaces GMp(.),θ(.),w(.)(Ω) with variable exponents p(.), θ(.), where Ω ⊂ Rn is an unbounded domain. The questions of boundedness of the Riesz potential and its commutator in these spaces are investigated.
Zh. M. Onerbek
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Electronic Research Archive, 2023 This paper is concerned with the following Keller–Segel–Navier–Stokes system with indirect signal production and tensor-valued sensitivity: $ \left\{\begin{array}{*5{lllll }} n_{t}+u \cdot \nabla n=\Delta n-\nabla \cdot(n S(x,n,v,w) \nabla v)
Kai Gao
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Global Boundedness of the Fully Parabolic Keller-Segel System with Signal-Dependent Motilities [PDF]
, 2020 This paper establishes the global uniform-in-time boundedness of solutions to the following Keller-Segel system with signal-dependent diffusion and chemotaxis { u t = ∇ ⋅ ( γ ( v ) ∇ u − u ϕ ( v ) ∇ v ) , x ∈ Ω , t > 0 , v t = d Δ v − v + u , x ∈ Ω , t >
Zhian Wang, Jiashan Zheng
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Communications in Analysis and Mechanics, 2023 In this paper, we study the following quasilinear chemotaxis system $ \begin{equation*} \left\{ \begin{array}{ll} u_{t} = \Delta u-\chi \nabla \cdot (\varphi (u)\nabla v)-\xi \nabla \cdot (\psi(u)\nabla w)+f(u), \ &\ \ x\in \Omega, \ t>0, \
Chang-Jian Wang, Jia-Yue Zhu
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