Dynamics of complex bodies with memory and vector-valued microstructure: Existence and uniqueness

[1]  P. M. Mariano,et al.  Energy Decay in the Dynamics of Complex Bodies with Spreading Microstructures Represented by $3D$ Vectors , 2022, Journal of Elasticity.

[2]  J. Golden.  Free Energies for Nonlinear Materials with Memory , 2022, Journal of Elasticity.

[3]  M. T. Mohan.  On the three dimensional Kelvin-Voigt fluids: global solvability, exponential stability and exact controllability of Galerkin approximations , 2020, Evolution Equations & Control Theory.

[4]  P. Giovine.  A Multiscale Approximation Method to Describe Diatomic Crystalline Systems: Constitutive Equations , 2018, Journal of Multiscale Modelling.

[5]  Paolo Maria Mariano,et al.  Existence Results in The Linear Dynamics of Quasicrystals with Phason Diffusion and Nonlinear Gyroscopic Effects , 2015, Multiscale Model. Simul..

[6]  P. M. Mariano.  Mechanics of Material Mutations , 2014 .

[7]  J. Planas,et al.  Phason self-actions in quasicrystals , 2013 .

[8]  P. Paoletti,et al.  Complex bodies with memory: Linearized setting , 2008, 0805.4307.

[9]  Quansen Jiu,et al.  Weak and strong solutions for the incompressible Navier–Stokes equations with damping , 2008 .

[10]  Z. Xin,et al.  On the vanishing viscosity limit for the 3D Navier‐Stokes equations with a slip boundary condition , 2007 .

[11]  Paolo Maria Mariano,et al.  Multifield theories in mechanics of solids , 2002 .

[12]  P. M. Mariano,et al.  Strain localization in elastic micro-cracked bodies , 2001 .

[13]  L. Mancini,et al.  Phason elastic constants of the icosahedral Al-Pd-Mn phase derived from diffuse scattering measurements , 2001 .

[14]  Andro Mikelić,et al.  On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions , 1998 .

[15]  M. Kleman.  Disvections: mismatches, dislocations, and non-Abelian properties of quasicrystals , 1996 .

[16]  A. Morro,et al.  Free energies and dissipation properties for systems with memory , 1994 .

[17]  Steinhardt,et al.  Finite-temperature elasticity phase transition in decagonal quasicrystals. , 1993, Physical review. B, Condensed matter.

[18]  W. Wahl.  Estimating ∇u by div u and curl u , 1992 .

[19]  Mitsuhiro Nakao,et al.  Remarks on the existence and uniqueness of global decaying solutions of the nonlinear dissipative wave equations , 1991 .

[20]  S. Edwards,et al.  Dynamics of concentrated polymer systems. Part 1.—Brownian motion in the equilibrium state , 1978 .

[21]  S. Edwards,et al.  Dynamics of concentrated polymer systems. Part 2.—Molecular motion under flow , 1978 .

[22]  S. Edwards,et al.  Dynamics of concentrated polymer systems. Part 3.—The constitutive equation , 1978 .

[23]  D. Owen,et al.  On the thermodynamics of materials with memory , 1970 .

[24]  W. A. Day.  A theory of thermodynamics for materials with memory , 1969 .

[25]  Bernard D. Coleman,et al.  On the general theory of fading memory , 1968 .

[26]  Bernard D. Coleman,et al.  Thermodynamics of materials with memory , 1964 .

[27]  Walter Noll,et al.  Foundations of Linear Viscoelasticity , 1961 .

[28]  B. D. Coleman,et al.  An approximation theorem for functionals, with applications in continuum mechanics , 1960 .

[29]  Walter Noll,et al.  On the thermostatics of continuous media , 1959 .

[30]  R. S. Rivlin,et al.  The mechanics of non-linear materials with memory , 1957 .