Found 47 Documents (Results 1–47)
Finite-time blow-up in hyperbolic Keller-Segel system of consumption type with logarithmic sensitivity. (English) Zbl 07867455
On stabilized equal-order virtual element methods for the Navier-Stokes equations on polygonal meshes. (English) Zbl 1538.65537
Nonlinear stability of strong traveling waves for a chemotaxis model with logarithmic sensitivity and periodic perturbations. (English) Zbl 07793763
Convergence rate of solutions towards spiky steady state for the Keller-Segel system with logarithmic sensitivity. (English) Zbl 1516.35428
On the global existence and time-decay rates for a parabolic-hyperbolic model arising from chemotaxis. (English) Zbl 1512.35596
Global solutions to the free boundary value problem of a chemotaxis-Navier-Stokes system. (English) Zbl 1512.35689
Reviewer: Yuanyuan Ke (Beijing)
A mixed virtual element method for nearly incompressible linear elasticity equations. (English) Zbl 1511.65122
Nonlinear stability of traveling waves to a parabolic-hyperbolic system modeling chemotaxis with periodic perturbations. (English) Zbl 1509.35093
Global stability under dynamic boundary conditions of a nonlinear PDE model arising from reinforced random walks. (English) Zbl 1502.35183
Controlled dynamics of a chemotaxis model with logarithmic sensitivity by physical boundary conditions. (English) Zbl 1512.35098
Global well-posedness and large-time behavior of a hyperbolic-parabolic model in an exterior domain. (English) Zbl 1511.35096
Asymptotic behavior of solutions to a chemotaxis-logistic model with transitional end-states. (English) Zbl 1496.35095
Global well-posedness and boundary layer effects of radially symmetric solutions for the singular Keller-Segel model. (English) Zbl 1490.35026
Global weak solutions and asymptotics of a singular PDE-ODE chemotaxis system with discontinuous data. (English) Zbl 1484.35062
Nonlinear stability of diffusive contact wave for a chemotaxis model. (English) Zbl 1486.35042
Reviewer: Yuanyuan Ke (Beijing)
Global existence and optimal decay rate of solutions to hyperbolic chemotaxis system in Besov spaces. (English) Zbl 1478.92032
Cauchy problem of a system of parabolic conservation laws arising from the singular Keller-Segel model in multi-dimensions. (English) Zbl 1467.35056
Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability. (English) Zbl 1464.35013
Asymptotic dynamics of a system of conservation laws from chemotaxis. (English) Zbl 1462.35088
Reviewer: Anna Zhigun (Belfast)
Global well-posedness of large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model. (English. French summary) Zbl 1448.92036
On the vanishing viscosity limit for a 3-d system arising from the Keller-Segel model. (English) Zbl 1446.35227
Reviewer: Piotr Biler (Wrocław)
Contraction for large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model. (English) Zbl 1443.92058
Convergence to traveling waves of a singular PDE-ODE hybrid chemotaxis system in the half space. (English) Zbl 1509.35094
On a parabolic-hyperbolic chemotaxis system with discontinuous data: well-posedness, stability and regularity. (English) Zbl 1435.35110
Reviewer: Piotr Biler (Wrocław)
Optimal decay rates for a chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate. (English) Zbl 1439.35496
J. Differ. Equations 268, No. 4, 1379-1411 (2020); corrigendum ibid. 269, No. 7, 6359-6363 (2020).
Reviewer: Piotr Biler (Wrocław)
The large-time behavior of the multi-dimensional hyperbolic-parabolic model arising from chemotaxis. (English) Zbl 1422.92027
Convergence of boundary layers for the Keller-Segel system with singular sensitivity in the half-plane. (English. French summary) Zbl 1428.35022
Reviewer: Piotr Biler (Wrocław)
Asymptotic and viscous stability of large-amplitude solutions of a hyperbolic system arising from biology. (English) Zbl 1402.35286
Reviewer: Piotr Biler (Wrocław)
Global Cauchy problem of a system of parabolic conservation laws arising from a Keller-Segel type chemotaxis model. (English) Zbl 1404.35468
Reviewer: Thomas Ernst (Uppsala)
On the fractional Fisher information with applications to a hyperbolic-parabolic system of chemotaxis. (English) Zbl 1401.35315
Reviewer: Narahari Parhi (Bhubaneswar)
The optimal convergence rates for the multi-dimensional chemotaxis model in critical Besov spaces. (English) Zbl 1381.35073
Asymptotic dynamics on a singular chemotaxis system modeling onset of tumor angiogenesis. (English) Zbl 1332.35369
Reviewer: Piotr Biler (Wroclaw)
Global existence and exponential stability for the strong solutions in \(H^{2}\) to the 3-D chemotaxis model. (English) Zbl 1381.35196
Asymptotic profile of a parabolic-hyperbolic system with boundary effect arising from tumor angiogenesis. (English) Zbl 1326.35069
Initial-boundary value problems for a system of hyperbolic balance laws arising from chemotaxis. (English) Zbl 1327.35167
Reviewer: Guy Katriel (Haifa)
Global well-posedness and zero diffusion limit of classical solutions to 3D conservation laws arising in chemotaxis. (English) Zbl 1305.92022
Global analysis of smooth solutions to a hyperbolic-parabolic coupled system. (English) Zbl 1311.35159
Asymptotic stability of traveling waves of a chemotaxis model with singular sensitivity. (English) Zbl 1293.35071
Reviewer: Yaping Liu (Pittsburg)
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