Results 11 to 20 of about 1,195 (85)
Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation
Open Mathematics, 2022 In this article, we study Hopf bifurcation and Turing instability of a diffusive predator-prey model with hunting cooperation. For the local model, we analyze the stability of the equilibrium and derive conditions for determining the direction of Hopf ...
Miao Liangying, He Zhiqian
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Communications in Mathematical Research, 2020 The outflow problem for the viscous two-phase flow model in a half line is investigated in the present paper. The existence and uniqueness of the stationary solution is shown for both supersonic state and sonic state at spatial far field, and the ...
Haiyang Zhao
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FDM for fractional parabolic equations with the Neumann condition
Advances in Differential Equations, 2013 In the present study, the first and second order of accuracy stable difference schemes for the numerical solution of the initial boundary value problem for the fractional parabolic equation with the Neumann boundary condition are presented.
A. Ashyralyev, Zafer Cakir
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Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion
Demonstratio Mathematica, 2020 In this paper, we study the Hyers-Ulam stability of a nonautonomous semilinear reaction-diffusion equation. More precisely, we consider a nonautonomous parabolic equation with a diffusion given by the fractional Laplacian. We see that such a stability is
Villa-Morales José
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Advances in Nonlinear Analysis, 2022 In this article, we study the large-time behavior of combination of the rarefaction waves with viscous contact wave for a one-dimensional compressible Navier-Stokes system whose transport coefficients depend on the temperature.
Dong Wenchao, Guo Zhenhua
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Logistic damping effect in chemotaxis models with density-suppressed motility
Advances in Nonlinear Analysis, 2022 This paper is concerned with a parabolic-elliptic chemotaxis model with density-suppressed motility and general logistic source in an n-dimensional smooth bounded domain with Neumann boundary conditions.
Lyu Wenbin, Wang Zhi-An
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A Beale-Kato-Madja breakdown criterion for an Oldroyd-B fluid in the creeping flow regime [PDF]
, 2007 We derive a criterion for the breakdown of solutions to the Oldroyd-B model in R3 in the limit of zero Reynolds number (creeping flow). If the initial stress field is in the Sobolev space Hm(R3), m > 5/2, then either a unique solution exists within this ...
R. Kupferman, C. Mangoubi, E. Titi
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Open Mathematics, 2023 In this article, the effect of Coleman-Gurtin’s and Gurtin-Pipkin’s thermal laws on the displacement of a Timoshenko beam system with suspenders is studied.
Mukiawa Soh Edwin
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Nonautonomous Dynamical Systems, 2020 In this paper, we study the global existence of solutions to some semilinear integro-differential evolution equations in Hilbert spaces with sign-varying kernels.
Jin Kun-Peng, Liang Jin, Xiao Ti-Jun
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TIME-VARYING LYAPUNOV FUNCTIONS AND LYAPUNOV STABILITY OF NONAUTONOMOUS FRACTIONAL ORDER SYSTEMS
International Journal of Apllied Mathematics, 2019 We present a new inequality which involves the Caputo fractional derivative of the product of two continuously differentiable functions, and establish its various properties. The inequality and its properties enable us to construct potential time-varying
B. K. Lenka
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