Regular Solvability of the First Initial–Boundary Value Problem for the Quasihydrodynamic System of Equations in the Case of a Weakly Compressible Fluid
摘要
We establish the solvability of an analog of the first initial-boundary value problem for the quasihydrodynamic system of equations in the case of a weakly compressible fluid. Under certain conditions, it is shown that there exists a unique regular solution to the problem locally in time. The solution has all the generalized derivative occurring into the equation, and these derivatives belong to some Lebesgue space.