## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- AIMS Mathematics
- Conference Publications
- Electronic Research Announcements
- Mathematics in Engineering

### Open Access Journals

DCDS

In this paper we study a multidimensional moving boundary problem
modeling the growth of tumor cord. This problem contains two coupled
elliptic equations defined in a bounded domain in $R^2$ whose
boundary consists of two disjoint closed curves, one fixed and the other
moving and a priori unknown. The evolution of the moving boundary
is governed by a Stefan type equation. By using the functional analysis
method based on applications of the theory of analytic semigroups,
we prove that (1) this problem is locally well-posed in Hölder spaces,
(2) it has a unique radially symmetric stationary solution, and (3) this
radially symmetric stationary solution is asymptotically stable for
arbitrary sufficiently small perturbations in these Hölder spaces.

CPAA

In this paper we study a moving boundary problem modeling the growth of
multi-layer tumors under the action of inhibitors. The problem contains
two coupled reaction-diffusion equations and one elliptic equation defined
on a strip-like domain in $R^n$, with one part of the boundary moving
and a priori unknown. The evolution of the moving boundary is governed by
a Stefan type equation, with the surface tension effect taken into consideration.
Local existence and asymptotic behavior of solutions to this problem are
investigated. The analysis is based on the employment of the functional
analysis method combing with the well-posedness and geometric theory for
parabolic differential equations in Banach spaces.

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