The Cauchy problems and global solutions to the Deybe system and Burgers' equations in pseudomeasure spaces

DOI10.1007/s10114-005-0864-2zbMath1119.35080OpenAlexW2168889784MaRDI QIDQ884915

Bao-Quan Yuan

Publication date: 7 June 2007

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

Full work available at URL: https://doi.org/10.1007/s10114-005-0864-2

zbMATH Keywords

self-similar solutionsasymptotic stabilityBurgers' equationsDeybe systempseudomeasure spaces

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45)

Related Items (1)

On the rotating Navier-Stokes equations with mixed boundary conditions

Cites Work

• Global regular and singular solutions for a model of gravitating particles
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Distributed approximating functional approach to Burgers' equation in one and two space dimensions
• Smooth or singular solutions to the Navier-Stokes system?
• The Debye system: existence and large time behavior of solutions
• Existence and asymptotics of solutions for a parabolic-elliptic system with nonlinear no-flux boundary conditions
• Strong solutions of the Navier-Stokes equation in Morrey spaces
• Self-similar solutions for nonlinear Schrödinger equations
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