scientific article; zbMATH DE number 1504760

zbMath0953.35070MaRDI QIDQ4502716

Wojbor A. Woyczyński, Piotr Biler

Publication date: 12 September 2000

Full work available at URL: https://eudml.org/doc/209050

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

self-similar solutionsfractal anomalous diffusionfractional power of the Laplacianevolution of density of mutually interacting particlesglobal in time existence versus finite time blow-upMonte Carlo approximation schemes

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Integro-partial differential equations (45K05) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21)

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Large time behavior of classical solutions to a fractional attraction–repulsion Keller–Segel system in the whole space ⋮ Fractional derivative estimates in Gevrey spaces, global regularity and decay for solutions to semilinear equations in \(\mathbb R^n\) ⋮ Existence, uniqueness and decay estimates on mild solutions to fractional chemotaxis-fluid systems ⋮ Global existence and asymptotic dynamics in a 3D fractional chemotaxis system with singular sensitivity ⋮ Well-posedness for the Keller-Segel equation with fractional Laplacian and the theory of propagation of chaos ⋮ Asymptotic decay for the classical solution of the chemotaxis system with fractional Laplacian in high dimensions ⋮ Global existence and asymptotic behavior of the fractional chemotaxis system with signal-dependent sensitivity ⋮ Decay estimates for the classical solution of Keller–Segel system with fractional Laplacian in higher dimensions ⋮ Global existence and decay estimates for the classical solution of fractional attraction-repulsion chemotaxis system

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