Evolution equations with applications in civil engineering

Garant předmětu:

Michal Beneš

Lecturer:

Michal Beneš

Tutor:

Supervisor:

Department of Mathematics

Synopsis:

The subject is focused on qualitative properties of mathematical models of heat and moisture transport in porous materials. The lectures are devoted to derivation of models of transport processes in multiphase systems and solutions of corresponding initial-boundary value problems. The main topics of the subject: Balance equations, mass balance equations, energy balance equations, balance equations in multi-phase systems, heat and mass transport in porous materials, constitutive equations, Darcy’s law, Fourier’s law, Fick’s law, state equations, hygro-thermal parameters in transport models. Mathematical formulation of the problem, initial and boundary conditions. The method of Rothe, Faedo-Galerkin method. Solutions of elliptic problems generated by the method of discretization in time, existence and convergence theorem for the abstract parabolic problem, applications on simplified models of heat transport and isothermal moisture flow in porous materials. Coupled heat and moisture transport in porous materials.

Requirements:

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Study materials:

Note:

Time-table for winter semester 2023/2024:

Time-table is not available yet

Time-table for summer semester 2023/2024:

Time-table is not available yet

The course is a part of the following study plans: