Well-posedness and exponential stability for Boussinesq systems on real hyperbolic Manifolds and application

2022/09/20 by Pham Truong Xuan, Xuan, Pham Truong, Ngoc, Tran Thi
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2209.09469

openalex publication_date 2022/09/20 · openalex created_date 2022/09/23 · openalex updated_date 2026/07/28

Abstract

We investigate the global existence and exponential decay of mild solutions for the Boussinesq systems in L^p-phase spaces on the framework of real hyperbolic manifold ℍ^d(ℝ), where d \geqslant 2 and 1

Related

• Generalized gravitational fields and well-posedness of the Boussinesq systems on non-compact Riemannian Manifolds
• On the Cauchy problem for a Boussinesq type system
• Well-posedness for the Boussinesq system in critical spaces via maximal regularity
• The decay and stability of solutions for the 3D density-dependent incompressible Boussinesq system
• The classical Boussinesq system revisited