Convection-induced singularity suppression in the Keller-Segel and other non-linear PDEs
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Publication:5009301
DOI10.1090/tran/8195zbMath1477.35044arXiv1908.01941OpenAlexW3043921992WikidataQ114093772 ScholiaQ114093772MaRDI QIDQ5009301
Andrej Zlatoš, Xiaoqian Xu, Gautam Iyer
Publication date: 20 August 2021
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.01941
PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for second-order parabolic equations (35K20) Forced convection (76R05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)
Related Items (18)
Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection ⋮ Mixing for Generic Rough Shear Flows ⋮ On the fast spreading scenario ⋮ Quantifying the Dissipation Enhancement of Cellular Flows ⋮ Global regularity and stability analysis of the Patlak-Keller-Segel system with flow advection in a bounded domain: a semigroup approach ⋮ Regularization by transport noises for 3D MHD equations ⋮ Enhanced Dissipation and Blow-Up Suppression in a Chemotaxis-Fluid System ⋮ Blow-up for a stochastic model of chemotaxis driven by conservative noise on \(\mathbb{R}^2\) ⋮ Global solutions of aggregation equations and other flows with random diffusion ⋮ Using Bernoulli maps to accelerate mixing of a random walk on the torus ⋮ Enhanced dissipation, hypoellipticity for passive scalar equations with fractional dissipation ⋮ Global existence for the two-dimensional Kuramoto-Sivashinsky equation with a shear flow ⋮ Suppression of epitaxial thin film growth by mixing ⋮ Global well-posedness of the 3D Navier-Stokes equations perturbed by a deterministic vector field ⋮ Delayed blow-up by transport noise ⋮ Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system ⋮ Dissipation enhancement by transport noise for stochastic \(p\)-Laplace equations ⋮ Anomalous dissipation in passive scalar transport
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