Global smooth solution of 2D temperature-dependent tropical climate model
Bo‐Qing Dong, Chaoying Li, Xiaojing Xu, Zhuan Ye
Abstract
Abstract This paper focuses on a two-dimensional tropical climate model with temperature-dependent viscosity and thermal diffusivity. We show that there is a unique global smooth solution to this model with general initial data in the Sobolev class H s for any s > 1.
Topics & Concepts
Thermal diffusivityMathematicsSobolev spaceViscosityClimatologyClimate modelGeneral Circulation ModelTropical climateClass (philosophy)Tropical marine climateGlobal climateAtmospheric sciencesClimate changeMathematical analysisMeteorologyThermodynamicsGeographyGeologyPhysicsOceanographyComputer scienceArchaeologyArtificial intelligenceAdvanced Mathematical Physics ProblemsNavier-Stokes equation solutionsComputational Fluid Dynamics and Aerodynamics