These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in geometry and in various applications, ranging from crystal growth, tumour growth, biological membranes to porous media, two-phase flows, fluid-structure interactions, and shape optimization.

We first give an introduction to classical methods from differential geometry and systematically derive the governing equations from physical principles. Then we will analyse parametric approaches to interface evolution problems and derive numerical methods which will be thoroughly analysed. In addition, implicit descriptions of interfaces such as phase field and level set methods will be analysed. Finally, we will discuss numerical methods for complex interface evolutions and will focus on two phase flow problems as an important example of such evolutions.

Acerca del autor

Eberhard B�nsch studied Mathematics at the University of Bonn and finished his PhD in 1990 as a student of Hans Wilhelm Alt. After that, he went to the University of Freiburg, where he received his habilitation in 1998. The same year, he went to Bremen for his first professorship. In 2000 he accepted an offer from Berlin, where he was appointed full professor at the Free University of Berlin and at the same time head of the research group Numerical Mathematics and Scientific Computing at the Weierstrass-Institute. He was also a member of the research center MATHEON in Berlin. Since 2004 he is full professor at the Friedrich-Alexander-University at Erlangen-Nuremberg.

The scientific interest of Eberhard B�nsch lies in the field of Numerical Analysis and Scientific Computing for free boundary and interface problems, in particular in computational fluid dynamics.

Klaus Deckelnick studied mathematics at the University of Bonn, where he received his PhD in 1990. He subsequently worked as a scientific assistant at the University of Freiburg completing his habilitation in 1996. In 1998, he joined the University of Sussex where he had previously spent one year as a research fellow. Since 2002, he is a professor at the University of Magdeburg.

Klaus Deckelnick works on the analysis and numerical analysis of nonlinear partial differential equations with a particular focus on geometric evolution equations.

Harald Garcke studied Mathematics at the University of Bonn and finished his PhD in 1993 as a student of Hans Wilhelm Alt. With an ESF-fellowship, he was in 1993/94 post-doc with Charles M. Elliott at the University of Sussex and from 1994 he was scientific assistant in Bonn where he finished his habilitation in 2000. In the year 2001, he got offers for professur-positions at the Universities Regensburg and Duisburg. Since 2002, he is full professor at the University of Regensburg where hewas dean of the Mathematics department from 2005 to 2007. He is DFG liaison officer at the University of Regensburg since 2011.

Harald Garcke works on nonlinear partial differential equations, free boundary problems, phase field equations, numerical analysis and geometric evolution equations.

Paola Pozzi received her undergraduate education in Mathematics at the University of Bologna in Italy. As a recipient of an Australian National University PhD Scholarship and an International Postgraduate Research Scholarship she could then move to Canberra to work on her dissertation under the supervision of John Hutchinson at the Australian National University. After receiving her PhD in 2004 and a postdoctoral fellowship at the ANU Mathematical Science Institute, she moved to Germany to work as a scientific assistant in the research group of Gerhard Dziuk at the University of Freiburg. In 2009-10 she was appointed for six-month as a substitute professor (Vertretungsprofessur) at the Technische Universit�t M�nchen. In 2011 she got offers for professor positions at the Freie Universit�t in Berlin and at the University of Duisburg-Essen. She has been working as a professor at the University of Duisburg-Essen since 2011 and has acted as vice-dean (Prodekanin) of the faculty of mathematics between 2018 and 2020.

Paola Pozzi works on analysis and numerical analysis for free boundary problems, geometric evolution equations, and nonlinear partial differential equations.

"Sobre este t�tulo" puede pertenecer a otra edici�n de este libro.

Descripci�n de la librer�a

We carry a comprehensive range of out of print and rare books.

Ver la p�gina web de la librer�a

Informaci�n empresarial del vendedor

Kennys Bookshops and Art Galleries Limited
Liosban Industrial Estate, Tuam Road, Galway, GY, Ireland

Condiciones de venta y env�o

Condiciones de venta

We guarantee the condition of every book as it's described on the Abebooks websites.

If you're dissatisfied with your purchase (Incorrect Book/Not as Described/Damaged) or if the order hasn't arrived, you're eligible for a refund within 30 days of the estimated delivery date.

For any queries please use the contact seller link or send an email to books@kennys.ie

Conor Kenny

Derecho al desistimiento

Si es un consumidor, puede rescindir el contrato de acuerdo con lo siguiente. Por consumidor se entiende cualquier persona f�sica que act�e con fines ajenos a su actividad comercial, empresarial, oficio o profesi�n.

Informaci�n sobre el derecho de desistimiento

Derecho legal de desistimiento

Tiene derecho a rescindir este contrato en un plazo de 14 d�as sin dar ning�n motivo.

El periodo de desistimiento vencer� a los 14 d�as desde que usted, o un tercero que no sea el transportista e indicado por usted, adquiera la posesi�n f�sica del �ltimo bien o del �ltimo lote o pieza.

Para ejercer el derecho de desistimiento, complete de forma electr�nica y env�e una declaraci�n clara en nuestro sitio web, desde "Mis compras" en "Mi cuenta". Le enviaremos sin demora un acuse de recibo de dicho desistimiento a trav�s de un soporte duradero (por ejemplo, por correo electr�nico).

Para cumplir con el plazo de desistimiento, basta con que env�e su comunicaci�n relativa al ejercicio del derecho de desistimiento antes de que venza el periodo de desistimiento.

Efectos del desistimiento

Si rescinde este contrato, le reembolsaremos todos los pagos que hayamos recibido de usted, incluidos los gastos de env�o (excepto los gastos adicionales que surjan si elige un tipo de env�o que no sea el tipo de env�o est�ndar m�s econ�mico que ofrecemos).

Podemos hacer una deducci�n del reembolso por la p�rdida de valor de cualquier bien suministrado, si la p�rdida es el resultado de una manipulaci�n innecesaria por su parte.

Efectuaremos el reembolso sin demoras indebidas y, a m�s tardar, 14 d�as despu�s de que se nos informe de su decisi�n de rescindir este contrato.

Efectuaremos el reembolso utilizando el mismo medio de pago que utiliz� para la transacci�n inicial, a menos que haya acordado expresamente lo contrario; en cualquier caso, no incurrir� en ning�n cargo como resultado de dicho reembolso.

Podremos retener el reembolso hasta que hayamos recibido los bienes o hasta que nos haya presentado una prueba de que los ha devuelto, lo que ocurra primero.

Deber� devolver los bienes o entregarlos a Kennys Bookstore, Olney, Maryland, U.S.A., sin demoras indebidas y, en cualquier caso, en un plazo m�ximo de 14 d�as a partir del d�a en que nos comunique su desistimiento del presente contrato. El plazo se cumple si devuelve la mercanc�a antes de que venza el periodo de 14 d�as. Tendr� que asumir los gastos directos de devoluci�n de los bienes. Usted solo es responsable de la disminuci�n del valor de los bienes como resultado de una manipulaci�n distinta a la necesaria para establecer la naturaleza, las caracter�sticas y el funcionamiento de los bienes.

Excepciones al derecho de desistimiento

El derecho de desistimiento no se aplica a lo siguiente:

La entrega de peri�dicos, diarios o revistas, con la excepci�n de los contratos de suscripci�n; y
El suministro de contenido digital que no se proporcione en un soporte tangible (por ejemplo, en un CD o DVD) si, al hacer el pedido, acept� que pod�amos empezar a entregarlo y que no podr�a desistir una vez iniciada la entrega.

Condiciones de env�o

All books securely packaged. Some books ship from Ireland.

Tarifas de env�o en Estados Unidos de America

Tarifas de env�o en Estados Unidos de America
Cantidad del pedido	De 14 a 20 d�as h�biles	De 13 a 14 d�as h�biles
Primer art�culo	EUR 9.24	EUR 18.48

Los plazos de entrega los establecen los vendedores y var�an seg�n el transportista y la ubicaci�n. Los pedidos que pasan por la aduana pueden sufrir retrasos y los compradores son responsables de los aranceles o tarifas asociadas. Los vendedores pueden ponerse en contacto con usted en relaci�n con cargos adicionales para cubrir cualquier aumento en los costes de env�o de los art�culos.