On the Cauchy problem associated with the Brinkman flow in
DOI10.1017/PRM.2021.47zbMath1504.35365OpenAlexW3198671342MaRDI QIDQ5038413
Eduardo Alarcon, Michel Molina del Sol, Rafael Jose jun. Iorio
Publication date: 30 September 2022
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/prm.2021.47
Cauchy problempartial differential equationslocal and global well-posednessintegral-differential nonlinear evolution equations
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Comparison principles in context of PDEs (35B51)
Cites Work
- Elliptic pseudo-differential operators - an abstract theory
- On Darcy-Brinkman equation: viscous flow between two parallel plates packed with regular square arrays of cylinders
- Semigroups of linear operators and applications to partial differential equations
- The Navier-Stokes initial value problem in \(L^ p\).
- KdV and BO equations with bore-like data
- On the Navier-Stokes initial value problem. I
- On the Cauchy problem associated to the Brinkman flow in Rn
- Brownian motion in a field of force and the diffusion theory of chemical reactions
- Analysis of the Brinkman equation as a model for flow in porous media
- Commutator estimates and the euler and navier-stokes equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On the Cauchy problem associated with the Brinkman flow in
