02879nam 2200625 450 991048410910332120210216123052.01-280-61516-897866106151623-540-32060-110.1007/b133345(CKB)1000000000282738(EBL)3036458(SSID)ssj0000107025(PQKBManifestationID)11684539(PQKBTitleCode)TC0000107025(PQKBWorkID)10027371(PQKB)10702594(DE-He213)978-3-540-32060-9(MiAaPQ)EBC3036458(MiAaPQ)EBC6351732(PPN)123131189(EXLCZ)99100000000028273820210216d2006 uy 0engur|n|---|||||txtccrAsymptotics for dissipative nonlinear equations /N. Hayashi [and three others]1st ed. 2006.Berlin ;Heidelberg :Springer,[2006]©20061 online resource (569 p.)Lecture notes in mathematics ;1884Description based upon print version of record.3-540-32059-8 Includes bibliographical references (pages [541]-553) and index.Preliminary results -- Weak Nonlinearity -- Critical Nonconvective Equations -- Critical Convective Equations -- Subcritical Nonconvective Equations -- Subcritical Convective Equations.Many of problems of the natural sciences lead to nonlinear partial differential equations. However, only a few of them have succeeded in being solved explicitly. Therefore different methods of qualitative analysis such as the asymptotic methods play a very important role. This is the first book in the world literature giving a systematic development of a general asymptotic theory for nonlinear partial differential equations with dissipation. Many typical well-known equations are considered as examples, such as: nonlinear heat equation, KdVB equation, nonlinear damped wave equation, Landau-Ginzburg equation, Sobolev type equations, systems of equations of Boussinesq, Navier-Stokes and others.Lecture notes in mathematics (Springer-Verlag) ;1884.Differential equations, NonlinearAsymptotic theoryDifferential equations, PartialAsymptotic theoryDifferential equations, NonlinearAsymptotic theory.Differential equations, PartialAsymptotic theory.515.35Hayashi Nakao282340Hayashi Nakao282340MiAaPQMiAaPQMiAaPQBOOK9910484109103321Asymptotics for dissipative nonlinear equations1020526UNINA