The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Weak uniqueness and partial regularity for the composite membrane problem”

The Cauchy problem for the magneto-hydrodynamic system

Marco Cannone, Changxing Miao, Nicolas Prioux, Baoquan Yuan (2006)

Banach Center Publications

Similarity:

We study the uniqueness and regularity of Leray-Hopf's weak solutions for the MHD equations with dissipation and resistance in different frameworks. Using different kinds of space-time estimates in conjunction with the Littlewood-Paley-Bony decomposition, we present some general criteria of uniqueness and regularity of weak solutions to the MHD system, and prove the uniqueness and regularity criterion in the framework of mixed space-time Besov spaces by applying Tao's trichotomy method. ...

Understanding singularitiesin free boundary problems

Xavier Ros-Oton, Joaquim Serra (2019)

Matematica, Cultura e Società. Rivista dell'Unione Matematica Italiana

Similarity:

Free boundary problems are those described by PDEs that exhibit a priori unknown (free) interfacesor boundaries. The most classical example is the melting of ice to water (the Stefan problem). In this case, the freeboundary is the liquid-solid interface between ice and water. A central mathematical challenge in this context is to understand the regularity and singularities of free boundaries. In this paper we provide a gentle introduction to this topic by presenting some classical results...

Free boundary regularity in Stefan type problems

Ioannis Athanasopoulos (2004)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Similarity:

Regularity results of free boundaries for Stefan type problems are discussed. The influence that curvature may have on the behavior of the free boundary is studied and various open problems are also mentioned.