02611nam 22004935 450 991025744660332120200629155557.03-540-47456-010.1007/3-540-17557-1(CKB)1000000000230593(SSID)ssj0000325226(PQKBManifestationID)12124439(PQKBTitleCode)TC0000325226(PQKBWorkID)10320606(PQKB)11598650(DE-He213)978-3-540-47456-2(PPN)155234552(EXLCZ)99100000000023059320121227d1987 u| 0engurnn|008mamaatxtccrNonlinear Hydrodynamic Modeling: A Mathematical Introduction[electronic resource] /edited by Hampton N. Shirer1st ed. 1987.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1987.1 online resource (XVI, 548 p. 21 illus.) Lecture Notes in Physics,0075-8450 ;271Bibliographic Level Mode of Issuance: Monograph3-540-17557-1 Modeling: A strategy for understanding -- A simple nonlinear model of convection -- From the equations of motion to spectral models -- Linear stability analysis -- Bifurcation analysis of stationary solutions -- Typical branching forms: Stationary solutions -- The expected branching solution: Preferred wavelengths -- Identifying crucial parameters with contact catastrophe theory -- Hierarchies of transitions: Secondary branching -- Alexander-Yorke Continuation: Numerically finding all the stationary solutions in a spectral model -- Typical branching forms: Periodic solutions -- The expected branching solution: Preferred wavelengths and orientations -- On computing the branching direction of bifurcating periodic solutions -- Bifurcation analysis of periodic solutions -- The transition to turbulence -- Diagnosing the structures of attractors -- to topological hydrodynamics -- Modeling and metamodeling.Lecture Notes in Physics,0075-8450 ;271FluidsFluid- and Aerodynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21026Fluids.Fluid- and Aerodynamics.532533.62Shirer Hampton Nedthttp://id.loc.gov/vocabulary/relators/edtBOOK9910257446603321Nonlinear hydrodynamic modeling: a mathematical introduction1117733UNINA