Results 1 to 10 of about 200 (160)

Well-posedness of Cauchy problem of fractional drift diffusion system in non-critical spaces with power-law nonlinearity

Advances in Nonlinear Analysis
In this article, we consider the global and local well-posedness of the mild solutions to the Cauchy problem of fractional drift diffusion system with higher-order nonlinearity. The main difficulty comes from the higher-order nonlinearity. Instead of the
Gu Caihong, Tang Yanbin
doaj   +1 more source

Homogenization of Smoluchowski-type equations with transmission boundary conditions

Advanced Nonlinear Studies
In this work, we prove a two-scale homogenization result for a set of diffusion-coagulation Smoluchowski-type equations with transmission boundary conditions.
Franchi Bruno, Lorenzani Silvia
doaj   +1 more source

Nonlocal and local models for taxis in cell migration: a rigorous limit procedure. [PDF]

J Math Biol, 2020
Eckardt M, Painter KJ, Surulescu C, Zhigun A.   +3 more
europepmc   +1 more source

Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments. [PDF]

J Math Biol, 2020
Ardaševa A, Gatenby RA, Anderson ARA, Byrne HM, Maini PK, Lorenzi T.   +5 more
europepmc   +1 more source

A class of fourth-order parabolic equation with logarithmic nonlinearity. [PDF]

J Inequal Appl, 2018
Li P, Liu C.
europepmc   +1 more source

Complete quenching phenomenon for a parabolic p-Laplacian equation with a weighted absorption. [PDF]

J Inequal Appl, 2018
Zhu L.
europepmc   +1 more source

Ground states in the diffusion-dominated regime. [PDF]

Calc Var Partial Differ Equ, 2018
Carrillo JA, Hoffmann F, Mainini E, Volzone B.   +3 more
europepmc   +1 more source

Existence of variational solutions to doubly nonlinear systems in nondecreasing domains. [PDF]

J Evol Equ
Schätzler L, Scheven C, Siltakoski J, Stanko C.   +3 more
europepmc   +1 more source

Incompressible Limit of a Mechanical Model for Tissue Growth with Non-Overlapping Constraint. [PDF]

Commun Math Sci, 2017
Hecht S, Vauchelet N.
europepmc   +1 more source

Invasion dynamics of super invaders: elimination of Allee effects by a strategy at the range boundary. [PDF]

J Math Biol
Du Y, Li L, Ni W, Shabgard N.
europepmc   +1 more source