Non-Local Partial Differential Equations for Engineering and Biology

Highlights practical use of non-local models considering any possible spatial dependence on the neighboring points as well as neglecting any feasible memory effects

Supplies new mathematical methods for systems of PDE´s with examples of applications

Examines non-local models in MEMS technologies

Inhalt
Dedication.- Preface.- Acknowledgements.- Part I Applications in Engineering.- Micro-electro-mechanical-systems(MEMS).- Ohmic Heating Phenomena.- Linear Friction Welding.- Resistance Spot Welding.- Part II Applications in Biology.- Gierer-Meinhardt System.- A Non-local Model Illustrating Replicator Dynamics.- A Non-local Model Arising in Chemotaxis.- A Non-local Reaction-Diffusion System Illustrating Cell Dynamics.- Appendices.- Index.