{"product_id":"renormalization-group-methods-in-applied-mathematical-problems-von-huseyin-merdan","title":"Renormalization Group Methods in Applied Mathematical Problems","description":"\u003cp\u003eThis book presents applications of the methods  known as renormalization group (RG) and scaling in the physics  literature to applied mathematics problems after a brief review of  the methodology.    The first part involves an application to a class of  nonlinear parabolic differential equations. First, RG methods are  described for determining the key exponents related to the decay of  solutions to these equations. The  determination of decay exponents is viewed as an asymptotically self  similar process that facilitates an RG approach. The methods  are also extended to higher order in the small coefficient of the  nonlinearity. Finally, the RG results are verified in some cases by  rigorous proofs and other calculations.    In the second part, the application of RG technique to  systems of equations describing interface problems is presented.  The temporal evaluation of an interface separating two phases is  analyzed for large time. The standard sharp interface  problem in the quasi-static limit is studied. The characteristic length of a self-similar  system that is a time dependent length scale characterizing the  pattern growth is calculated by implementing RG  procedure.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783845438276\"\u003e\u003ch3\u003eDecay of Solutions and Interface Problems\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783845438276","offer_id":39494544949341,"sku":"9783845438276","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/792f5d35-b1bb-4397-a94a-446544c42e8d.jpg?v=1771309727","url":"https:\/\/shop.autorenwelt.de\/en\/products\/renormalization-group-methods-in-applied-mathematical-problems-von-huseyin-merdan","provider":"Autorenwelt Shop","version":"1.0","type":"link"}