On the existence and uniqueness of classical global solution to a type of Boussinesq equations

DOI10.1007/BF02006183zbMath0687.35076MaRDI QIDQ1263013

Yuting Wei, Yingcai Gao

Publication date: 1989

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

energy methodSchauder's fixed point theoremBoussinesq equationsglobal solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Fixed-point theorems (47H10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• Unnamed Item
• On the stability of the Boussinesq equations
• Nonlinear stability of the Boussines q equations by the method of energy
• Global stability of the conduction-diffusion solution
• Uniqueness criteria for the conduction-diffusion solution of the Boussinesq equations
• On the Existence and Uniqueness of a Local Classical Solution of an Initial Boundary-Value Problem for Incompressible Nonhomogeneous Viscous Fluids
• Classical Solutions of the Initial Value Problem for the Navier‐Stokes Equations with Heath Convection

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