A semigroup proof for the well-posedness of the linearised shallow water equations

作者：Csomos P^*; Winckler J

来源：Analysis Mathematica, 2017, 43(3): 445-459.

DOI：10.1007/s10476-017-0204-7

• shallow water equation
• operator semigroup theory
• Stones's theorem

We present a derivation of the shallow water equations and their linearisation from basic physical principles, and show the well-posedness of the linearised problem. We work in a functional analytic framework and use the theory of operator semigroups.

• 出版日期2017-9