Local well-posedness of the free-surface incompressible elastodynamics
From MaRDI portal
Publication:2304452
DOI10.1016/j.jde.2019.11.075zbMath1439.35467OpenAlexW2991064500MaRDI QIDQ2304452
Publication date: 12 March 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2019.11.075
Nonlinear elasticity (74B20) Linear elasticity with initial stresses (74B10) Bulk waves in solid mechanics (74J10) Ill-posed problems for PDEs (35R25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- A priori estimates for the free boundary problem of incompressible neo-Hookean elastodynamics
- A priori estimates for 3D incompressible current-vortex sheets
- Well-posedness for the motion of an incompressible liquid with free surface boundary
- Well-posedness in Sobolev spaces of the full water wave problem in 2D
- Partial differential equations. 3: Nonlinear equations
- On the construction of solutions to the free-surface incompressible ideal magnetohydrodynamic equations
- Linear stability of compressible vortex sheets in two-dimensional elastodynamics
- A simple proof of well-posedness for the free-surface incompressible Euler equations
- A priori estimates for free boundary problem of incompressible inviscid magnetohydrodynamic flows
- Existence and stability of compressible current-vortex sheets in three-dimensional magneto\-hydrodynamics
- Global solutions and asymptotic behavior for two dimensional gravity water waves
- Global Well-Posedness of Incompressible Elastodynamics in Two Dimensions
- Almost global existence for 2-D incompressible isotropic elastodynamics
- Existence d'ondes de rarefaction pour des systems quasi‐lineaires hyperboliques multidimensionnels
- A PRIORI ESTIMATES FOR THE MOTION OF A SELF-GRAVITATING INCOMPRESSIBLE LIQUID WITH FREE SURFACE BOUNDARY
- Well-posedness of the free-surface incompressible Euler equations with or without surface tension
- On the free boundary problem of three-dimensional incompressible Euler equations
- The equations of motion of a perfect fluid with free boundary are not well posed.
- Well-posedness in Sobolev spaces of the full water wave problem in 3-D
- Growth rates for the linearized motion of fluid interfaces away from equilibrium
- Global existence for three‐dimensional incompressible isotropic elastodynamics via the incompressible limit
- Global solutions of the equations of elastodynamics of incompressible neo-Hookean materials.
- Well‐posedness for the linearized motion of an incompressible liquid with free surface boundary
- Global existence for three‐dimensional incompressible isotropic elastodynamics
- Geometry and a priori estimates for free boundary problems of the Euler's equation
- The zero surface tension limit two‐dimensional water waves
