Non-Homogeneous Media and Vibration Theory
Sanchez-Palencia, Enrique.
Non-Homogeneous Media and Vibration Theory [electronic resource] / by Enrique Sanchez-Palencia. - IX, 400 p. 3 illus. online resource. - Lecture Notes in Physics, 127 0075-8450 ; . - Lecture Notes in Physics, 127 .
Distributions and Sobolev spaces -- Operators in Banach spaces -- Examples of boundary value problems -- Semigroups and laplace transform -- Homogenization of second order equations -- Homogenization in elasticity and electromagnetism -- Fluid flow in porous media -- Vibration of mixtures of solids and fluids -- Examples of perturbations for elliptic problems -- The Trotter-Kato theorem and related topics -- Spectral perturbation. Case of isolated eigenvalues -- Perturbation of spectral families and applications to selfadjoint eigenvalue problems -- Stiff problems in constant and varialbe domains -- Averaging and two-scale methods -- Generalities and potential method -- Functional methods -- Scattering problems depending on a parameter.
9783540393177
10.1007/3-540-10000-8 doi
Acoustics.
Acoustics.
QC221-246
534
Non-Homogeneous Media and Vibration Theory [electronic resource] / by Enrique Sanchez-Palencia. - IX, 400 p. 3 illus. online resource. - Lecture Notes in Physics, 127 0075-8450 ; . - Lecture Notes in Physics, 127 .
Distributions and Sobolev spaces -- Operators in Banach spaces -- Examples of boundary value problems -- Semigroups and laplace transform -- Homogenization of second order equations -- Homogenization in elasticity and electromagnetism -- Fluid flow in porous media -- Vibration of mixtures of solids and fluids -- Examples of perturbations for elliptic problems -- The Trotter-Kato theorem and related topics -- Spectral perturbation. Case of isolated eigenvalues -- Perturbation of spectral families and applications to selfadjoint eigenvalue problems -- Stiff problems in constant and varialbe domains -- Averaging and two-scale methods -- Generalities and potential method -- Functional methods -- Scattering problems depending on a parameter.
9783540393177
10.1007/3-540-10000-8 doi
Acoustics.
Acoustics.
QC221-246
534