On the blow-up mechanism of moving boundary problems
From MaRDI portal
Publication:651815
DOI10.4171/IFB/266zbMath1231.35321MaRDI QIDQ651815
Publication date: 19 December 2011
Published in: Interfaces and Free Boundaries (Search for Journal in Brave)
Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Semilinear elliptic equations (35J61) Moving boundary problems for PDEs (35R37)
Related Items (3)
On the blow up scenario for a class of parabolic moving boundary problems ⋮ On the justification of the quasistationary approximation of several parabolic moving boundary problems. Part I ⋮ An abstract framework for parabolic PDEs on evolving spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the blow up scenario for a class of parabolic moving boundary problems
- Analysis of a mathematical model for the growth of tumors
- Classical solutions for Hele-Shaw models with surface tension
- Nonlinear simulation of tumor growth
- Elliptic partial differential equations of second order
- Growth of necrotic tumors in the presence and absence of inhibitors
- Classical solutions to a moving boundary problem for an elliptic-parabolic system
- Maximal regularity for a free boundary problem
- Radially symmetric growth of nonnecrotic tumors
- Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth
- Classical Solutions of Multidimensional Hele--Shaw Models
- A Free Boundary Problem for an Elliptic–Parabolic System: Application to a Model of Tumor Growth
- Models for the Growth of a Solid Tumor by Diffusion
- Analytic semigroups and optimal regularity in parabolic problems
This page was built for publication: On the blow-up mechanism of moving boundary problems