Definition of a shock solution

Definition: “shock solution” is an informal mathematical term used to describe a type of weak solution in the field of partial differential equations. When a nonlinear or quasilinear equation does not have a strict solution, a weak solution may be found that allows useful information to be obtained even though a strict solution cannot be obtained. Reference: J. Kevorkian, Partial Differential Equations, Springer-Verlag, 2000.

Why did I choose the domain

The shock solution is a clever method of obtaining useful information from a problem that could be considered unsolvable. It is a reminder that even the most complex and difficult problem can be analyzed and understood using the correct tools. My objective is to develop these tools so that better decisions can be made when dealing with the complex problems found in the world.

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