This article studies the dynamical behaviour of classical solutions of a hyperbolic system of balance laws, derived from a chemotaxis model with logarithmic sensitivity, with time-dependent boundary conditions. It is shown that under suitable assumptions
Padi Fuster Aguilera, Kun Zhao
doaj +1 more source
Local and global existence for the Lagrangian Averaged Navier-Stokes equations in Besov spaces
We prove the existence of short time solutions to the incompressible, isotropic Lagrangian Averaged Navier-Stokes equation with low regularity initial data in Besov spaces $B^{r}_{p,q}(\mathbb{R}^n)$, $r>n/2p$.
Pennington, Nathan
core +1 more source
Paradigmatic well posedness in some generalized characteristic Cauchy problems [PDF]
By means of convenient regularization for an ill posed Cauchy problem, we deï¬ne an associated generalized problem and discuss the conditions for the solvability of it.
Antoine Delcroix +4 more
core
Chromatin Landscape Dynamics in the Early Development of the Plant Parasitic Nematode Meloidogyne incognita. [PDF]
Hassanaly-Goulamhoussen R +9 more
europepmc +1 more source
Genome Expression Dynamics Reveal the Parasitism Regulatory Landscape of the Root-Knot Nematode Meloidogyne incognita and a Promoter Motif Associated with Effector Genes. [PDF]
Da Rocha M +10 more
europepmc +1 more source
The domain of convergence of a Heun function obtained through the Poincar\'{e}--Perron (P--P) theorem is not absolute convergence but conditional one [2].
Choun, Yoon-Seok
core
On the Schr\"odinger equations with isotropic and anisotropic fourth-order dispersion
This paper deals with the Cauchy problem associated to the nonlinear fourth-order Schr\"odinger equation with isotropic and anisotropic mixed dispersion.
Banquet, Carlos +1 more
core +1 more source
We consider the Cauchy problem for the incompressible Navier-Stokes equations in $\mathbb{R}^3$ for a one-parameter family of explicit scale-invariant axi-symmetric initial data, which is smooth away from the origin and invariant under the reflection ...
Guillod, Julien, Šverák, Vladimír
core
Oct4 transcriptionally regulates the expression of long non-coding RNAs NEAT1 and MALAT1 to promote lung cancer progression. [PDF]
Jen J +5 more
europepmc +1 more source
Global Oct4 target gene analysis reveals novel downstream PTEN and TNC genes required for drug-resistance and metastasis in lung cancer. [PDF]
Tang YA +8 more
europepmc +1 more source

