TY - JOUR
T1 - Partial differential equation models in the socio-economic sciences
AU - Burger, Martin
AU - Caffarelli, Luis
AU - Markowich, Peter A.
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2014/10/6
Y1 - 2014/10/6
N2 - Mathematical models based on partial differential equations (PDEs) have become an integral part of quantitative analysis in most branches of science and engineering, recently expanding also towards biomedicine and socio-economic sciences. The application of PDEs in the latter is a promising field, but widely quite open and leading to a variety of novel mathematical challenges. In this introductory article of the Theme Issue, we will provide an overview of the field and its recent boosting topics. Moreover, we will put the contributions to the Theme Issue in an appropriate perspective.
AB - Mathematical models based on partial differential equations (PDEs) have become an integral part of quantitative analysis in most branches of science and engineering, recently expanding also towards biomedicine and socio-economic sciences. The application of PDEs in the latter is a promising field, but widely quite open and leading to a variety of novel mathematical challenges. In this introductory article of the Theme Issue, we will provide an overview of the field and its recent boosting topics. Moreover, we will put the contributions to the Theme Issue in an appropriate perspective.
UR - http://hdl.handle.net/10754/594168
UR - https://royalsocietypublishing.org/doi/10.1098/rsta.2013.0406
UR - http://www.scopus.com/inward/record.url?scp=84907863442&partnerID=8YFLogxK
U2 - 10.1098/rsta.2013.0406
DO - 10.1098/rsta.2013.0406
M3 - Article
C2 - 25288814
SN - 1364-503X
VL - 372
SP - 20130406
JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
IS - 2028
ER -