Well-posedness

Well-posedness refers to a concept in mathematics and sciences that describes whether a problem is formulated correctly and has a meaningful solution. For a problem to be well-posed, it should have a solution that exists, is unique (only one solution), and changes smoothly with small changes in the initial conditions. This means that small differences in the setup won't lead to wildly different outcomes, making the problem manageable and reliable. In simpler terms, a well-posed problem is one that you can trust to give consistent and predictable results.