Blowup phenomenon for a 2D chemotaxis-consumption model with rotation and saturation on the

Article Mathematics, Applied

Finite-time blow-up and boundedness in a 2D Keller-Segel system with rotation

Yuxiang Li et al.

Summary: This paper deals with the initial-boundary value problem of a Keller-Segel system with rotation, showing properties of nonradial solutions and global existence and boundedness of radial solutions.

NONLINEARITY (2023)

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Article Mathematics, Applied

Finite-time blow-up in a repulsive chemotaxis-consumption system

Yulan Wang et al.

Summary: The paper investigates a chemotaxis system in a ball-shaped Omega subset of R-n, where an explosive solution is found for the corresponding initial-boundary value problem under certain conditions on the coefficient D.

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS (2023)

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Article Mathematics

A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system

Jaewook Ahn et al.

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2023)

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Article Mathematics, Applied

Regular solutions of chemotaxis-consumption systems involving tensor-valued sensitivities and Robin type boundary conditions

Jaewook Ahn et al.

Summary: This paper studies a parabolic-elliptic chemotaxis-consumption system with tensor-valued sensitivity S(x; n; c) under specific boundary conditions. The global existence of bounded classical solutions is proven in two dimensions, with general assumptions on the tensor-valued sensitivity S. Additionally, it is shown that del c(circle; t) becomes small in L-2(Br(x)boolean AND Omega) for every x is an element of (sic) and t when r is sufficiently small, which is of independent interest. In the case of scalar-valued sensitivity S = Chi(x; n; c)(sic)ere, a globally bounded classical solution exists in higher dimensions if the domain is a ball with radius R and all given data are radial. The result also covers scalar-valued sensitivity Chi that can be singular at c = 0.

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2023)

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Article Mathematics, Applied

Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary

Johannes Lankeit et al.

Summary: The passage discusses the consideration of the chemotaxis system under specific boundary conditions, leading to results on global existence of solutions in different dimensions. It also asserts the unique classical solvability in the corresponding stationary problem, even in nonradial frameworks.

NONLINEARITY (2022)

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Article Mathematics, Applied

Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption

Yulan Wang et al.

Summary: This paper focuses on the Neumann initial-boundary value problem for a classical chemotaxis system in a disk, showing that immediate regularization occurs for initially prescribed singularities under an essentially optimal condition.

SCIENCE CHINA-MATHEMATICS (2021)

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Article Mathematics, Applied

Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary

Yulan Wang et al.

Summary: The solution theory for the chemotaxis-Stokes system is well-developed when accompanied by specific boundary conditions, but changes in the boundary condition for the signal can impact the global properties.

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (2021)

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Article Mathematics, Applied