Longtime well-posedness for the 2D Groma-Balogh model

DOI10.1007/s00332-016-9320-yzbMath1358.35070OpenAlexW2473447189MaRDI QIDQ513883

Renhui Wan, Jiecheng Chen

Publication date: 8 March 2017

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-016-9320-y

zbMATH Keywords

decay estimateGroma-Balogh modellongtime well-posedness

Mathematics Subject Classification ID

Initial value problems for first-order hyperbolic systems (35L45) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74) Regularity of solutions of dynamical problems in solid mechanics (74H30)

Related Items (2)

Convergence and non-convergence of many-particle evolutions with multiple signs ⋮ Global well-posedness and optimal decay estimate for the incompressible porous medium equation near a nontrivial equilibrium

Cites Work

• Unnamed Item
• Short time existence and uniqueness in Hölder spaces for the 2D dynamics of dislocation densities
• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• Global existence for a system of nonlinear and non-local transport equations describing the dynamics of dislocation densities
• Dislocation dynamics: Short-time existence and uniqueness of the solution
• Vorticity and Incompressible Flow
• Classical Fourier Analysis
• Global Existence Results and Uniqueness for Dislocation Equations
• Commutator estimates and the euler and navier-stokes equations
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• ON THE WELL-POSEDNESS OF A 2D NONLINEAR AND NONLOCAL SYSTEM ARISING FROM THE DISLOCATION DYNAMICS

This page was built for publication: Longtime well-posedness for the 2D Groma-Balogh model