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         "id"   : "https://puma.ub.uni-stuttgart.de/bibtex/21012825ed1ef9d03d4f860e87a435b62/mhartmann",         
         "tags" : [
            "equations,","formation,","global","pattern","reaction--diffusion","solution","vorlaeufig","weak"
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         "intraHash" : "1012825ed1ef9d03d4f860e87a435b62",
         "interHash" : "238011336a3e7e95eec6ac89a22367c8",
         "label" : "A weak solution approach to a reaction--diffusion system modeling\n\tpattern formation on seashells",
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         "date" : "2018-07-20 10:54:15",
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         "pub-type": "article",
         "journal": "Mathematical Methods in the Applied Sciences","publisher":"John Wiley & Sons, Ltd.",
         "year": "2009", 
         "url": "http://dx.doi.org/10.1002/mma.1133", 
         
         "author": [ 
            "Jan Kelkel","Christina Surulescu"
         ],
         "authors": [
         	
            	{"first" : "Jan",	"last" : "Kelkel"},
            	{"first" : "Christina",	"last" : "Surulescu"}
         ],
         "volume": "32","number": "17","pages": "2267--2286","abstract": "We investigate a reaction--diffusion system proposed by H. Meinhardt\n\tas a model for pattern formation on seashells. We give a new proof\n\tfor the existence of a local weak solution for general initial conditions\n\tand parameters upon using an iterative approach. Furthermore, the\n\tsolution is shown to exist globally for suitable initial data. The\n\tbehavior of the solution in time and space is illustrated through\n\tnumerical simulations. Copyright � 2009 John Wiley & Sons, Ltd.",
         "issn" : "1099-1476",
         
         "doi" : "10.1002/mma.1133",
         
         "bibtexKey": "kelkel2009solution"

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