The Keller-Segel system of parabolic-parabolic type with initial data in weak $L^{n/2}(\mathbb{R}^n)$ and its application to self-similar solutions
From MaRDI portal
Publication:3545850
DOI10.1512/iumj.2008.57.3316zbMath1158.35101OpenAlexW2076166565MaRDI QIDQ3545850
Publication date: 11 December 2008
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1512/iumj.2008.57.3316
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (33)
Well-posedness of the Keller-Segel system in Fourier-Besov-Morrey spaces ⋮ Blow-up, Concentration Phenomenon and Global Existence for the Keller–Segel Model in High Dimension ⋮ Global well-posedness for nonlocal fractional Keller-Segel systems in critical Besov spaces ⋮ Non-existence of finite-time self-similar solutions of the Keller-Segel system in the scaling invariant class ⋮ Ill-posedness of the two-dimensional Keller-Segel model in Triebel-Lizorkin spaces ⋮ End-point maximal regularity and its application to two-dimensional Keller-Segel system ⋮ Large global-in-time solutions to a nonlocal model of chemotaxis ⋮ Local and global solvability for Keller-Segel system in Besov-Morrey spaces ⋮ The Keller-Segel system of parabolic-parabolic type in Morrey space ⋮ Large self-similar solutions of the parabolic-elliptic Keller-Segel model ⋮ An application of BMO-type space to chemotaxis-fluid equations ⋮ Singular limit problem for the Keller-Segel system and drift-diffusion system in scaling critical Besov-Morrey spaces ⋮ On the Neumann problem for fractional semilinear elliptic equations arising from Keller–Segel model ⋮ Unnamed Item ⋮ Existence and uniqueness theorem on mild solutions to the Keller-Segel system coupled with the Navier-Stokes fluid ⋮ Existence and Gevrey regularity for a two-species chemotaxis system in homogeneous Besov spaces ⋮ Spatial analyticity of solutions to the drift-diffusion equation with generalized dissipation ⋮ Existence and uniqueness theorem on mild solutions to the Keller-Segel system in the scaling invariant space ⋮ Global existence and asymptotic properties of the solution to a two-species chemotaxis system ⋮ The drift-diffusion system in two-dimensional critical Hardy space ⋮ Global existence and large time behavior of a 2D Keller-Segel system in logarithmic Lebesgue spaces ⋮ Asymptotic expansion of solutions to the drift-diffusion equation with large initial data ⋮ On a generalized doubly parabolic Keller–Segel system in one spatial dimension ⋮ Keller-Segel chemotaxis models: a review ⋮ Mathematical challenges in the theory of chemotaxis ⋮ Preface ⋮ Existence and asymptotic behavior to the incompressible nematic liquid crystal flow in the whole space ⋮ The Keller-Segel system of parabolic-parabolic type in homogeneous Besov spaces framework ⋮ Global well-posedness and asymptotic behavior in Besov-Morrey spaces for chemotaxis-Navier-Stokes fluids ⋮ Global strong solution to the semi-linear Keller-Segel system of parabolic-parabolic type with small data in scale invariant spaces ⋮ Maximal regularity and a singular limit problem for the Patlak-Keller-Segel system in the scaling critical space involving \textit{BMO} ⋮ Various regularity estimates for the Keller-Segel-Navier-Stokes system in Besov spaces ⋮ Threshold of global behavior of solutions to a degenerate drift-diffusion system in between two critical exponents
This page was built for publication: The Keller-Segel system of parabolic-parabolic type with initial data in weak $L^{n/2}(\mathbb{R}^n)$ and its application to self-similar solutions