Well-posedness of Cauchy problem of fractional drift diffusion system in non-critical spaces with power-law nonlinearity
DOI10.1515/anona-2024-0023MaRDI QIDQ6613013
Publication date: 1 October 2024
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
global solutionsKeller-Segel equationsfractional Laplacianelliptic-parabolic systemdrift-diffusion systemhigher-order nonlinearitymulti-linear operator
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with optics and electromagnetic theory (35Q60) Initial value problems for second-order parabolic systems (35K45) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Blowup of solutions to generalized Keller-Segel model
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- End-point maximal regularity and its application to two-dimensional Keller-Segel system
- A user's guide to PDE models for chemotaxis
- Existence and non-existence of global solutions for a semilinear heat equation
- Pseudodifferential operators and nonlinear PDE
- Remarques sur un théorème de J. Delsarte
- Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems
- A note on the long time behavior for the drift-diffusion-Poisson system
- Sharp Sobolev estimates for concentration of solutions to an aggregation-diffusion equation
- Chaotic characterization of one dimensional stochastic fractional heat equation
- Concentration phenomena in a diffusive aggregation model
- Singularities of solutions to chemotaxis systems
- Well-posedness of the Cauchy problem for the fractional power dissipative equation in critical Besov spaces
- From a multiscale derivation of nonlinear cross-diffusion models to Keller–Segel models in a Navier–Stokes fluid
- On the Cauchy problem for the fractional drift-diffusion system in critical Besov spaces
- On the well-posedness for Keller-Segel system with fractional diffusion
- The fractional Keller–Segel model
- Weakly Differentiable Functions
- Global and Exploding Solutions for Nonlocal Quadratic Evolution Problems
- On the cauchy problem for dispersive equations with nonlinear terms involving high derivatives and with arbitrarily large initial data
- ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO DRIFT-DIFFUSION SYSTEM WITH GENERALIZED DISSIPATION
- Decay estimates of nonlocal diffusion equations in some particle systems
- Two‐dimensional chemotaxis models with fractional diffusion
- Homogenization of non-local nonlinear p-Laplacian equation with variable index and periodic structure
- Global solution to the Cauchy problem of fractional drift diffusion system with power-law nonlinearity
- Approximation of solutions to integro-differential time fractional wave equations in \(L^p\)-space
- Homogenization of nonlinear nonlocal diffusion equation with periodic and stationary structure
- Homogenization of a semilinear elliptic problem in a thin composite domain with an imperfect interface
- Boundedness of square functions related with fractional Schrödinger semigroups on stratified Lie groups
- A new class of multiple nonlocal problems with two parameters and variable-order fractional \(p(\cdot)\)-Laplacian
- On sequences of homoclinic solutions for fractional discrete \(p\)-Laplacian equations
This page was built for publication: Well-posedness of Cauchy problem of fractional drift diffusion system in non-critical spaces with power-law nonlinearity