Global smooth solutions of 3-D null-form wave equations in exterior domains with Neumann boundary conditions

2016/11/25 by Jun Li, Li, Jun, Huicheng Yin +1
Mathematics · Engineering · #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions #Computational Fluid Dynamics and Aerodynamics

paper · pdf · doi:10.48550/arxiv.1611.08355

Abstract

The paper is devoted to investigating long time behavior of smooth small data solutions to 3-D quasilinear wave equations outside of compact convex obstacles with Neumann boundary conditions.

Citations

• On almost global existence for nonrelativistic wave equations in 3D
• The null condition for quasilinear wave equations in two space dimensions I

Related

• Global existence of null-form wave equations in exterior domains
• Remarks on global solutions for nonlinear wave equations under the standard null conditions
• Global smooth solutions of 2-D quadratic quasilinear wave equations with null conditions in exterior domains
• Global existence for a quasilinear wave equation outside of star-shaped domains
• The lifespan for 3-dimensional quasilinear wave equations in exterior domains