Global large, smooth solutions of the 2D surface quasi‐geostrophic equations
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7392
Abstract: In this paper, we prove the global regularity of smooth solutions to 2D surface quasi‐geostrophic (SQG) equations with supercritical dissipation for a class of large initial data, where the velocity and temperature can be arbitrarily… read more here.
Keywords: surface quasi; large smooth; smooth solutions; global large ... See more keywords
Global smooth solutions of 3-D null-form wave equations in exterior domains with Neumann boundary conditions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.01.015
Abstract: 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. Concretely speaking, when the surface of… read more here.
Keywords: smooth solutions; solutions null; boundary conditions; neumann boundary ... See more keywords
The globally smooth solutions and asymptotic behavior of the nonlinear wave equations in dimension one with multiple speeds
Sign Up to like & getrecommendations! Published in 2024 at "Forum Mathematicum"
DOI: 10.1515/forum-2023-0139
Abstract: Abstract We are interested in the one-dimensional nonlinear wave equations with multiple wave speeds by the energy method. By choosing different multipliers corresponding to the different wave speeds, we show that the one-dimensional nonlinear wave… read more here.
Keywords: smooth solutions; globally smooth; asymptotic behavior; nonlinear wave ... See more keywords