Mathematical Theory of Compressible Fluids on Moving Domains

Preface.- Notation, definitions and basic concepts.- Equations of motion.- Barotropic viscous fluid with the Dirichlet boundary conditions.- Barotropic viscous fluid with slip boundary condition.- Weak-strong uniqueness.- Existence of strong solutions via energy methods.- Existence of strong solutions in the Lp - Lq framework.- The full system.- Index.- References.

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• Física Matemática
• Análise funcional e transforma
• Cálculo diferencial e equações
• Análise numérica

Compressible fluids;Dirichlet boundary conditions;Fluid-structure interactions;Mathematical fluid mechanics;Navier-Stokes equations;Fluid flow moving domain;Navier-Stokes-Fourier system;Isentropic fluid;Heat-conducting fluid;Barotropic Navier-Stokes system