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Weak solution to hyperbolic Stefan problems with memory
- Source :
- Nonlinear Differential Equations and Applications. 4:123-132
- Publication Year :
- 1997
- Publisher :
- Springer Science and Business Media LLC, 1997.
-
Abstract
- A model for Stefan problems in materials with memory is considered. This model is mainly characterized by a nonlinear Volterra integrodifferential equation of hyperbolic type. Colli and Grasselli proved the uniqueness of a weak solution under the natural assumptions on data and the existence of a strong solution for smoother data. Taking advantage of these two results and assuming just the hypotheses ensuring uniqueness, the existence of a weak solution is here shown.
Details
- ISSN :
- 10219722
- Volume :
- 4
- Database :
- OpenAIRE
- Journal :
- Nonlinear Differential Equations and Applications
- Accession number :
- edsair.doi...........6112dcd6441645e214f4da6f565708b4