de
en
Schliessen
Detailsuche
Bibliotheken
Projekt
Impressum
Datenschutz
Schliessen
Publizieren
Besondere Sammlungen
Digitalisierungsservice
Hilfe
Impressum
Datenschutz
zum Inhalt
Detailsuche
Schnellsuche:
OK
Ergebnisliste
Titel
Titel
Inhalt
Inhalt
Seite
Seite
Im Werk suchen
Facets of low regularity in cross-diffusive systems / Mario Fuest. Paderborn, 2021
Inhalt
Introduction
Previous publications
Solutions blowing up in finite-time and their blow-up profiles
Approaching optimality in blow-up results for Keller–Segel systems with logistic-type dampening
Introduction
Preliminaries
The mass accumulation function w
A supersolution to a superlinear ODE: finite-time blow-up
Blow-up profiles in quasilinear fully parabolic Keller–Segel systems
Introduction
Pointwise estimates for subsolutions to equations in divergence form
Pointwise estimates in quasilinear Keller–Segel systems
Existence of blow-up profiles
Uniqueness in nondegenerate quasilinear Keller–Segel systems
On the optimality of upper estimates near blow-up in quasilinear Keller–Segel systems
Introduction
Pointwise estimates for grad v: the elliptic case
Intermission: semigroup estimates
Pointwise estimates for grad v: the parabolic case
Proofs of the main theorems
Global existence in fully cross-diffusive systems
Global solutions near homogeneous steady states in a multi-dimensional population model with both predator- and prey-taxis
Introduction
Preliminaries
Estimates within [0, T eta)
Deriving W22 bounds for u and v
The cases (H1) and H2 with lambda2 mu1 > lambda1 a2
The case (H2) with lambda2 mu1 <= lambda1 a2
Proof of Theorem 5.1.1
Possible generalizations of Theorem 5.1.1
Gagliardo–Nirenberg inequalities
Global weak solutions to fully cross-diffusive systems with nonlinear diffusion and saturated taxis sensitivity
Introduction
Global weak W12-solutions to approximative systems
The limit process k to infty: existence of weak solutions to P_(eps delta) by a Galerkin method
The limit process delta to 0: guaranteeing nonnegativity
The limit process epsilon to 0: proofs of Theorem 6.2.1 and Theorem 6.2.2
Approximative solutions to (6.P)
The limit process alpha to 0: obtaining solution candidates
Preliminary observations
Controlling the right-hand side of (6.4.7)
Space-time bounds and the limit process
Existence of global weak solutions to (6.P): proof of Theorem 6.1.1
Die detaillierte Suchanfrage erfordert aktiviertes Javascript.