"0898-1221" . "1"^^ . "[B7759FFC6300]" . "531;546" . "On flows of an incompressible fluid with a discontinuous power-law like rheology"@en . . "Computers and Mathematics with Applications" . "Proud\u011Bn\u00ED nestla\u010Diteln\u00E9 tekutiny s nespojitou rheologi\u00ED mocninn\u00E9ho typu"@cs . "53" . . . "flows; incompressible; fluid; discontinuous; power-law; rheology"@en . . "RIV/00216208:11320/07:00004388!RIV08-MSM-11320___" . . . "11320" . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . . . "RIV/00216208:11320/07:00004388" . . . "16"^^ . . "439229" . . "P(GA201/03/0934), Z(MSM0021620839)" . . "We establish the mathematical theory for the steady and unsteady flows of fluids with discontinuous constitutive equations. We consider a model for a fluid that at certain critical value of the shear rate exhibits jumps in the generalized viscosity of a power-law type. Using tools such as Young measures, maximal monotone operators, compact embeddings and energy equality we prove the existence of a solution to the problem in consideration. In this approach, Galerkin approximations converge strongly to the solution of the original problem."@en . "Proud\u011Bn\u00ED nestla\u010Diteln\u00E9 tekutiny s nespojitou rheologi\u00ED mocninn\u00E9ho typu"@cs . "3"^^ . . . "On flows of an incompressible fluid with a discontinuous power-law like rheology" . . "3-4" . "M\u00E1lek, Josef" . . "We establish the mathematical theory for the steady and unsteady flows of fluids with discontinuous constitutive equations. We consider a model for a fluid that at certain critical value of the shear rate exhibits jumps in the generalized viscosity of a power-law type. Using tools such as Young measures, maximal monotone operators, compact embeddings and energy equality we prove the existence of a solution to the problem in consideration. In this approach, Galerkin approximations converge strongly to the solution of the original problem." . "Je vybudov\u00E1na matematick\u00E1 teorie pro ust\u00E1len\u00E1 a \u010Dasov\u011B z\u00E1visl\u00E1 proud\u011Bn\u00ED tekutin s nespojit\u00FDmi konstitutivn\u00EDmi rovnicemi. Uva\u017Eujeme model tekutiny, kter\u00E1 vykazuje p\u0159i dosa\u017Een\u00ED ur\u010Dit\u00E9 kritick\u00E9 hodnoty rzchlosti smyku skokovou singularitu v yobecn\u011Bn\u00E9 viskozit\u011B mocninn\u00E9ho typu. Pomoc\u00ED n\u00E1stroj\u016F jako jsou Youngovy m\u00EDry, maxim\u00E1ln\u00ED monot\u00F3nn\u00ED oper\u00E1tory, kompaktn\u00ED vno\u0159en\u00ED a energetick\u00E1 rovnost, uk\u00E1\u017Eem\u011B existenci slab\u00E9ho \u0159e\u0161en\u00ED uva\u017Eovan\u00E9ho probl\u00E9mu."@cs . . "On flows of an incompressible fluid with a discontinuous power-law like rheology"@en . . "On flows of an incompressible fluid with a discontinuous power-law like rheology" . .