Aappo Pulkkinen

• I'm a currently a teacher/researcher at the Department of Mathematics and Systems Analysis at Aalto University School of Science.

• Contact details:

aappo.pulkkinen (at) aalto.fi
Aalto University
Institute of Mathematics
P.O.Box 11100
FI-00076 Aalto
Finland

Education

• Doctor of Science (Technology), Department of Mathematics and Systems Analysis, Aalto University School of Science, 2011.

My doctoral thesis concerns mathematical analysis of nonlinear parabolic partial differential equations. In particular, it discusses blow-up of solutions of a model heat equation with an exponential reaction term. The title of the dissertation is "Blow-up in rection-diffusion equation with exponential and power-type nonlinearities".

• Master of Science (Technology), Department of Engineering Physics and Mathematics, Helsinki University of Technology, 2004.

Research

Currently my reseach focuses on the study of nonlinear parabolic partial differential equations. I continue the research that was started in my thesis and try to find interesting and new methods and phenomena in the field.

I'm also interested in some problems in harmonic analysis related to multiplier theorems in Banach spaces.

Publications

• A. Pulkkinen, Some comments concerning the blow-up of solutions of the exponential reaction-diffusion equation , arXiv:1102.4275v2 [math.AP] (2011), 1-18.
• A. Pulkkinen, Blow-up profiles of solutions for the exponential reaction-diffusion equation , to appear in Mathematical Methods in the Applied Sciences.
• M. Fila, A. Pulkkinen, Backward selfsimilar solutions of supercritical parabolic equations , Appl. Math. Letters. 22 (2009), 897-901.
• M. Fila, A. Pulkkinen, Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation , Tohoku Math. J. (2) 60 (2008), 303--328.
• E. T. Seppälä, A. M. Pulkkinen, and M. J. Alava, Percolation in three-dimensional random field Ising magnets , Physical Review B 66, 144403 (2002).

Teaching

• Spring 2012: Lecturer on mathematics course Mat-1220 S2 for engineering students.
• Fall 2011: Lecturer on mathematics course Mat-1.1310 K1 for engineering students.