Global existence and temporal decay of large solutions for the Poisson–Nernst–Planck equations in low regularity spaces
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Publication:6182164
DOI10.1002/mma.8599zbMath1529.35082MaRDI QIDQ6182164
Publication date: 21 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Motion of charged particles (78A35) Initial value problems for systems of nonlinear higher-order PDEs (35G55) PDEs in connection with semiconductor devices (35Q81)
Cites Work
- Ill-posedness issue for the drift diffusion system in the homogeneous Besov spaces
- Small solutions for nonlinear heat equations, the Navier-Stokes equation and the Keller-segel system in Besov and Triebel-Lizorkin spaces
- Regularizing and decay rate estimates for solutions to the Cauchy problem of the Debye-Hückel system
- Ill-posedness for the Navier-Stokes equations in critical Besov spaces \(\dot{B}_{\infty, q}^{- 1}\)
- Global well-posedness for the dissipative system modeling electro-hydrodynamics with large vertical velocity component in critical Besov space
- Well-posedness and decay for the dissipative system modeling electro-hydrodynamics in negative Besov spaces
- Global well-posedness for Keller-Segel system in Besov type spaces
- Global regular and singular solutions for a model of gravitating particles
- On a drift-diffusion system for semiconductor devices
- End-point maximal regularity and its application to two-dimensional Keller-Segel system
- Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces
- Global solutions of some chemotaxis and angiogenesis system in high space dimension
- The drift-diffusion system in two-dimensional critical Hardy space
- Ill-posedness of the Navier-Stokes equations in a critical space in 3D
- On the basic equations for carrier transport in semiconductors
- Scaling in nonlinear parabolic equations
- Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems
- Global large solutions to the Navier-Stokes-Nernst-Planck-Poisson equations
- A note on the long time behavior for the drift-diffusion-Poisson system
- Existence of solutions for the Debye-Hückel system with low regularity initial data
- A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
- Well-posedness for the drift-diffusion system in \(L^p\) arising from the semiconductor device simulation
- Endpoint bilinear estimates and applications to the two-dimensional Poisson–Nernst–Planck system
- Fourier Analysis and Nonlinear Partial Differential Equations
- On Existence, Uniqueness and Asymptotic Behavior of Solutions of the Basic Equations for Carrier Transport in Semiconductors
- Sur les états d'équilibre pour les densités électroniques dans les plasmas
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- The Debye system: existence and large time behavior of solutions
- An Initial Value Problem from Semiconductor Device Theory
- Well-posedness for the Navier-Stokes equations
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