Results 31 to 38 of about 68 (38)

Structured Models of Cell Migration Incorporating Molecular Binding Processes [PDF]

arXiv, 2016
The dynamic interplay between collective cell movement and the various molecules involved in the accompanying cell signalling mechanisms plays a crucial role in many biological processes including normal tissue development and pathological scenarios such as wound healing and cancer.
arxiv  

Compensated Compactness in Banach Spaces and Weak Rigidity of Isometric Immersions of Manifolds [PDF]

Non-linear partial differential equations, mathematical physics, and stochastic analysis, 73--95, EMS Ser. Congr. Rep., Eur. Math. Soc., Z\"{u}rich, 2018, 2016
We present a compensated compactness theorem in Banach spaces established recently, whose formulation is originally motivated by the weak rigidity problem for isometric immersions of manifolds with lower regularity. As a corollary, a geometrically intrinsic div-curl lemma for tensor fields on Riemannian manifolds is obtained.
arxiv  

Global entropy solutions to a degenerate parabolic-parabolic chemotaxis system for flux-limited dispersal [PDF]

arXiv
Existence of global finite-time bounded entropy solutions to a parabolic-parabolic system proposed in [16] is established in bounded domains under no-flux boundary conditions for nonnegative bounded initial data. This modification of the classical Keller-Segel model features degenerate diffusion and chemotaxis that are both subject to flux-saturation ...
arxiv  

A review on two types of sonic interfaces [PDF]

arXiv
In this paper, two examples of sonic interfaces are presented. The first example shows the case of sonic interfaces as weak discontinuities in self-similar shock configurations of unsteady Euler system. The second example shows the case of sonic interfaces as regular interfaces in accelerating transonic flows governed by the steady Euler-Poisson system
arxiv  

Solutions of systems of certain Fermat-type PDDEs [PDF]

arXiv
The objective of this paper is to investigate the existence and the forms of the pair of finite order entire and meromorphic solutions of some certain systems of Fermat-type partial differential-difference equations of several complex variables. These results represent some refinements and generalizations of the earlier findings, especially the results
arxiv  

Classical solutions to a mixed-type PDE with a Keldysh-type degeneracy and accelerating transonic solutions to the Euler-Poisson system [PDF]

arXiv
In this paper, we first prove the existence of classical solutions to a class of Keldysh-type equations. Next, we apply this existence result to prove the structural stability of one-dimensional smooth transonic solutions to the steady Euler-Poisson system. Most importantly, the solutions constructed in this paper are classical solutions to the Euler-
arxiv  

Global Weak Rigidity of the Gauss-Codazzi-Ricci Equations and Isometric Immersions of Riemannian Manifolds with Lower Regularity. [PDF]

J Geom Anal, 2018
Chen GG, Li S.
europepmc   +1 more source

Recovery of pathogens with implementation of a weight-based algorithm for pediatric blood cultures: an observational intervention study. [PDF]

BMC Pediatr
Mortensen N, Kristiansen MS, Tellefsen OA, Köpp UMS.   +3 more
europepmc   +1 more source