The initial-boundary value problem for linearized system of equations of microelasticity theory

• Autorzy: Gawinecki J. , Kacprzyk P.

Warianty tytułu

PL

Zagadnienie brzegowo-początkowe dla zlinearyzowanego układu równań mikropolarnej teorii sprężystości

• Języki publikacji: EN

Abstrakty

EN

The aim of the paper is to prove the thorem about existence, uniqueness and regularity of the solution to the initial-boundary value problem for linearized system of equations of the microelasticity theory asociated to the non-linear one. Such a system of equations describes the microelastic medium in the three dimensional space. In our proof we used the method of semigroup theory and the method of Sobolev spaces.

PL

W pracy udowodniono twierdzenie o istnieniu, jednoznaczności i regulaności rozwiązania zgadnienia brzegowo-początkowego dla zlinearyzowanego układu równań mikropolarnej teorii sprężystości. Zastosowano metody teorii półgrup nieliniowych oraz metody przestrzeni Sobolewa.

Słowa kluczowe

EN

linear hyperbolic system of partial differential equations; initial-boundary value problem; Sobolev space; semigroup theory; microelasticity theory; existence and uniqueness theorem

PL

liniowy układ równań różniczkowych cząstkowych; zagadnienie brzegowo-początkowe; przestrzenie Sobolewa; teoria półgrup nieliniowych; mikropolarna teoria sprężystości twierdzenia o istnieniu i jednoznaczności

• Wydawca: Wojskowa Akademia Techniczna im. Jarosława Dąbrowskiego
• Czasopismo: Biuletyn Wojskowej Akademii Technicznej
• Rocznik: 2000
• Tom: Vol. 49, nr 1
• Strony: 5--17
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Gawinecki J.

• Military University of Technology, Institute of Mathematics and Operations Research, 00-908 Warsaw 49, Poland

autor

Kacprzyk P.

• Military University of Technology, Institute of Mathematics and Operations Research, 00-908 Warsaw 49, Poland

Bibliografia

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