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Level: BSc, MSci, MSc
Title: The heat equation in 3+1 dimensions
Supervisor:

Dr Juan Valiente-Kroon
Research Area: Geometry and Analysis
Description:

In this project you will explore the general properties of solutions to the heat equation in 3+1 dimensions. In particular you will explore the so-called the maximum principle and you will use the heat Kernel to construct the general solution to the equation.
Further Reading:

  • L. C. Evans, Partial Differential Equations. Graduate Studies in Mathematics, Vol. 19,  American Mathematical Society, 1998.
[This book is available in the QMUL library.]
Key Modules:

MTH6151 Partial Differential Equations
Other Information:
Current Availability: Yes