Uniform bound of the highest energy for the three dimensional incompressible elastodynamics

DOI10.1007/s00205-014-0815-0zbMath1310.35225arXiv1510.02999OpenAlexW2194625670MaRDI QIDQ2340942

Fan Wang, Zhen Lei

Publication date: 21 April 2015

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.02999

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (14)

Global existence for a model of inhomogeneous incompressible elastodynamics in 2D ⋮ Global vanishing viscosity limit for the two dimensional incompressible viscoelasticity in Lagrangian coordinates ⋮ Incompressible limit of three dimensional compressible viscoelastic systems with vanishing shear viscosity ⋮ Optimal time-decay rate of global classical solutions to the generalized compressible Oldroyd-B model ⋮ Global well-posedness for the three dimensional simplified inertial Ericksen-Leslie systems near equilibrium ⋮ Global solution to the 3D Dirac-Klein-Gordon system with uniform energy bounds ⋮ Uniform Bound of the Highest-Order Energy of the 2D Incompressible Elastodynamics ⋮ Global existence and decay estimate of classical solutions to the compressible viscoelastic flows with self-gravitating ⋮ Vanishing shear viscosity limit and incompressible limit of two dimensional compressible dissipative elastodynamics ⋮ Global well-posedness for 2D nonlinear wave equations without compact support ⋮ Global Existence of Inhomogeneous Incompressible Isotropic Elastodynamics in Three Dimensions ⋮ Some remarks on quasilinear wave equations with null condition in 3-D ⋮ Global Well-Posedness of Incompressible Elastodynamics in Three-Dimensional Thin Domain ⋮ Partial differential equations with quadratic nonlinearities viewed as matrix-valued optimal ballistic transport problems

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