A Class of Problems in Two-Dimensional Space
We now turn to problems in which the unknown quantities are functions of two space variables and time. Naturally theses problems are of much greater complexity than the one-dimensional stability problems studied in the preceding chapters. We shall find however, at various points of our study, that many concepts introduced in the investigation of the one-dimensional problems still retain their utility. Indeed, from the point of view of mathematical analysis, the preceding chapters can almost be considered as an introduction to the study of problems in two-dimensional space.
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