Global existence of large solutions for the generalized Poisson-Nernst-Planck equations (Q1998628)

scientific article; zbMATH DE number 7318454

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English	Global existence of large solutions for the generalized Poisson-Nernst-Planck equations	scientific article; zbMATH DE number 7318454

Statements

instance of

scholarly article

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title

Global existence of large solutions for the generalized Poisson-Nernst-Planck equations (English)

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published in

Journal of Mathematical Analysis and Applications

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publication date

7 March 2021

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zbMATH Keywords

generalized Poisson-Nernst-Planck equations

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fractional dissipation

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global large solutions

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Besov spaces

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full work available at URL

https://doi.org/10.1016/j.jmaa.2021.124943

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cites work

Fourier Analysis and Nonlinear Partial Differential Equations

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Global regular and singular solutions for a model of gravitating particles

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Existence and nonexistence of solutions for a model of gravitational interaction of particles, II

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Optimal criteria for blowup of radial and<i>N</i>-symmetric solutions of chemotaxis systems

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Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires

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A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation

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Endpoint bilinear estimates and applications to the two-dimensional Poisson-Nernst-Planck system

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The fractional Keller–Segel model

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On a drift-diffusion system for semiconductor devices

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From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I

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Global well-posedness for Keller-Segel system in Besov type spaces

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Small solutions for nonlinear heat equations, the Navier-Stokes equation and the Keller-segel system in Besov and Triebel-Lizorkin spaces

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Ill-posedness issue for the drift diffusion system in the homogeneous Besov spaces

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Initiation of slime mold aggregation viewed as an instability

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Well-posedness for the drift-diffusion system in \(L^p\) arising from the semiconductor device simulation

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Q4782579

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Small data in an optimal Banach space for the parabolic-parabolic and parabolic-elliptic Keller-Segel equations in the whole space

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One-dimensional steady-state Poisson-Nernst-Planck systems for ion channels with multiple ion species

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Global large solutions to the Navier-Stokes-Nernst-Planck-Poisson equations

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Well-posedness of the Cauchy problem for the fractional power dissipative equations

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An Initial Value Problem from Semiconductor Device Theory

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The drift-diffusion system in two-dimensional critical Hardy space

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End-point maximal regularity and its application to two-dimensional Keller-Segel system

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ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO DRIFT-DIFFUSION SYSTEM WITH GENERALIZED DISSIPATION

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Well-posedness of the Cauchy problem for the fractional power dissipative equation in critical Besov spaces

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On the well-posedness for Keller-Segel system with fractional diffusion

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Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces

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Local and global solvability and blow up for the drift-diffusion equation with the fractional dissipation in the critical space

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Global well-posedness for nonlocal fractional Keller-Segel systems in critical Besov spaces

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On the Cauchy problem for the fractional drift-diffusion system in critical Besov spaces

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Well-posedness and Gevrey analyticity of the generalized Keller-Segel system in critical Besov spaces

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Existence of solutions for the Debye-Hückel system with low regularity initial data

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Global well-posedness for the dissipative system modeling electro-hydrodynamics with large vertical velocity component in critical Besov space

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Identifiers

zbMATH Open document ID

1462.35394

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Mathematics Subject Classification ID

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10.1016/J.JMAA.2021.124943

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Sitelinks

Mathematics(1 entry)

mardi Publication:1998628