Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This volume contains the proceedings of a miniconference on geometry and partial differential equations held at the Australian National University in June 1986, at the Centre for Mathematical Analysis. The proceedings of an earlier such conference have been published in Volume 10 of this series.

Differential equations, Partial

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Differential equations, Partial

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

When one has to deal with fluid flows, magnetic fields or heat transfer in stars, one faces the partial differential equations that govern these processes. These phenomena are naturally multi-dimensional and their study requires new and sophisticated models. This volume gathers the lecture notes which summarize the essence of the lectures and conferences given by world experts in the field of multi-dimensional modelling of stars, during the 2018 Evry Schatzman School held in Roscoff, France. It gives the present status of our understanding of several processes that occur in stars, like thermal convection, double-diffusive convection, dynamo effect or baroclinic flows. Every subject is discussed under the light of the most recent results of nowadays research and is made accessible to all newcomers, either students or researchers who wish to join the field.

Differential equations, Partial

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

When one has to deal with fluid flows, magnetic fields or heat transfer in stars, one faces the partial differential equations that govern these processes. These phenomena are naturally multi-dimensional and their study requires new and sophisticated models. This volume gathers the lecture notes which summarize the essence of the lectures and conferences given by world experts in the field of multi-dimensional modelling of stars, during the 2018 Evry Schatzman School held in Roscoff, France. It gives the present status of our understanding of several processes that occur in stars, like thermal convection, double-diffusive convection, dynamo effect or baroclinic flows. Every subject is discussed under the light of the most recent results of nowadays research and is made accessible to all newcomers, either students or researchers who wish to join the field.

Differential equations, Partial

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Partial Differential Equations and Applications: A Bridge for Students and Researchers in Applied Sciences offers a unique approach to this key subject by connecting mathematical principles to the latest research advances in select topics. Beginning with very elementary PDEs, such as classical heat equations, wave equations and Laplace equations, the book focuses on concrete examples. It gives students basic skills and techniques to find explicit solutions for partial differential equations.As it progresses, the book covers more advanced topics such as the maximum principle and applications, Green's representation, Schauder's theory, finite-time blowup, and shock waves. By exploring these topics, students gain the necessary tools to deal with research topics in their own fields, whether proceeding in math or engineering areas.Class tested over multiple years with advanced undergraduate and graduate coursesFeatures many concrete examples and chapter exercisesAppropriate for advanced undergraduate and graduate courses geared to math and engineering studentsRequires minimal background beyond advanced calculus and differential equations

Differential Equations, Partial --- Difference Equations --- Mathematics --- Differential equations, Partial.