Transport equation in generalized Campanato spaces

DOI10.4171/RMI/1394zbMath1527.35235arXiv1904.08215MaRDI QIDQ6058044

Donghao Chae, Joerg Wolf

Publication date: 26 October 2023

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.08215

zbMATH Keywords

well-posednesstransport equationgeneralized Campanato space

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Transport equations (35Q49)

Related Items (1)

Localized blow-up criterion for \(C^{1, \alpha}\) solutions to the 3D incompressible Euler equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ordinary differential equations, transport theory and Sobolev spaces
• Theory of function spaces II
• Hydrodynamics in Besov spaces
• Transport equations due to the non-Lipschitzian vector fields and fluid mechanics
• The Euler equations in a critical case of the generalized Campanato space
• Euler equations and real harmonic analysis
• Strong illposedness of the incompressible Euler equation in integer \(C^m\) spaces
• Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces
• Fourier Analysis and Nonlinear Partial Differential Equations
• Existence of Solution for the Euler Equations in a Critical Besov Space (ℝⁿ)
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• L^p-Estimates for certain non-regular eudo-differential operators.
• Incompressible flows of an ideal fluid with vorticity in borderline spaces of besov type1

This page was built for publication: Transport equation in generalized Campanato spaces