A brake system includes a friction coupling having organically or inorganically bound metal-containing, sintered-metal-containing and/or CFC-containing brake linings and a brake disc of fiber-reinforced C/SiC ceramic composite material. A friction layer and/or a surface of the brake disc subject to friction has a proportion of SiC greater than 65% and material compositions in a core region and a surface region of the brake disc are different. The brake system may be used in motor vehicles, rail vehicles or aircraft.