Outputs (3)

Some Remarks on Functional Analysis (2014)
Book Chapter
Blowey, J. F., & Straughan, B. (2014). Some Remarks on Functional Analysis. In R. B. Hetnarski (Ed.), Encyclopedia of Thermal Stresses. Springer Verlag. https://doi.org/10.1007/978-94-007-2739-7_24

Functional analysis is a key tool in the study of partial differential equations which helps to answer key questions such as existence, well-posedness, and the class in which a solution should belong. We begin these remarks by introducing normed spac... Read More about Some Remarks on Functional Analysis.

Shocks and acceleration waves in modern continuum mechanics and in social systems (2014)
Journal Article
Straughan, B. (2014). Shocks and acceleration waves in modern continuum mechanics and in social systems. Evolution Equations and Control Theory, 3(3), 541-555. https://doi.org/10.3934/eect.2014.3.541

The use of discontinuity surface propagation (e.g. shock waves and acceleration waves) is well known in modern continuum mechanics and yields a very useful means to obtain important information about a fully nonlinear theory with no approximation wha... Read More about Shocks and acceleration waves in modern continuum mechanics and in social systems.

Resonant Penetrative Convection with an Internal Heat Source/Sink (2014)
Journal Article
Straughan, B. (2014). Resonant Penetrative Convection with an Internal Heat Source/Sink. Acta Applicandae Mathematicae, 132(1), 561-581. https://doi.org/10.1007/s10440-014-9930-z

We develop a detailed linear instability and nonlinear stability analysis for the situation of convection in a horizontal plane layer of fluid when there is a heat sink/source which is linear in the vertical coordinate which is in the opposite direct... Read More about Resonant Penetrative Convection with an Internal Heat Source/Sink.