The rate of concentration for the radially symmetric solution to a degenerate drift-diffusion equation with the mass critical exponent
From MaRDI portal
Publication:1791633
DOI10.1007/s00013-018-1225-6zbMath1401.35149OpenAlexW2883017029MaRDI QIDQ1791633
Publication date: 10 October 2018
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00013-018-1225-6
Nonlinear parabolic equations (35K55) PDEs in connection with optics and electromagnetic theory (35Q60) Initial value problems for second-order parabolic equations (35K15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Degenerate parabolic equation with critical exponent derived from the kinetic theory. III: \(\varepsilon \)-regularity.
- Free energy and self-interacting particles
- Global existence in sub-critical cases and finite time blow-up in super-critical cases to degenerate Keller-Segel systems.
- Asymptotic stability of a decaying solution to the Keller-Segel system of degenerate type.
- Degenerate parabolic equation with critical exponent derived from the kinetic theory. II: Blowup threshold.
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions
- Degenerate parabolic equation with critical exponent derived from the kinetic theory: I: Generation of the weak solution
- Threshold of global behavior of solutions to a degenerate drift-diffusion system in between two critical exponents
- The degenerate drift-diffusion system with the Sobolev critical exponent
- Non-isothermal Smoluchowski-Poisson equations as a singular limit of the Navier-Stokes-Fourier-Poisson system
- Global existence and decay properties for a degenerate Keller-Segel model with a power factor in drift term
- Global Existence and Finite Time Blow-Up for Critical Patlak--Keller--Segel Models with Inhomogeneous Diffusion
- Multidimensional Degenerate Keller–Segel System with Critical Diffusion Exponent $2n/(n+2)$
- Local and global well-posedness for aggregation equations and Patlak–Keller–Segel models with degenerate diffusion
- Rate of L2 concentration of blow-up solutions for the nonlinear schrödinger equation with critical power
- Non-uniform bound and finite time blow up for solutions to a drift–diffusion equation in higher dimensions
- Fluid mechanical approximation to the degenerated drift-diffusion system from the compressible Navier-Stokes-Poisson system
