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== Uniqueness of solution ==
== Uniqueness of solution ==


I was just wondering about the uniqueness of the viscosity solution. Most PDEs can be proven to have a unique solution. What about the viscosity solution? Are they unique, or are there multiple viscosity solutions to a given PDE? (this will probably depend on the PDE in question, but some info on it would be appreciated).
I was just wondering about the uniqueness of the viscosity solution. Most PDEs can be proven to have a unique solution. What about the viscosity solution? Are they unique, or are there multiple viscosity solutions to a given PDE? (this will probably depend on the PDE in question, but some info on it would be appreciated). [[Special:Contributions/131.155.59.211|131.155.59.211]] ([[User talk:131.155.59.211|talk]]) 10:03, 7 January 2010 (UTC)

Revision as of 10:03, 7 January 2010

Front evolution?

What does 'front evolution' mean? Is it a concept from fluid dynamics? Could someone knowledgeable provide an appropriate link please? --Rinconsoleao (talk) 14:03, 9 June 2008 (UTC)[reply]

Front evolution or front propagation is quite general, it applies to optics, to the simulation of combustion and even to image recognition. Souganidis has a book about it http://www.springerlink.com/content/945754087q296357 . It occurs in many nonlinear PDE problems where there are two areas of space separated by a surface (the front) and that front can move. Encyclops (talk) 22:57, 10 June 2008 (UTC)[reply]

Uniqueness of solution

I was just wondering about the uniqueness of the viscosity solution. Most PDEs can be proven to have a unique solution. What about the viscosity solution? Are they unique, or are there multiple viscosity solutions to a given PDE? (this will probably depend on the PDE in question, but some info on it would be appreciated). 131.155.59.211 (talk) 10:03, 7 January 2010 (UTC)[reply]