\(p\)-Euler equations and \(p\)-Navier-Stokes equations
DOI10.1016/j.jde.2017.12.023zbMath1384.35093arXiv1706.05693OpenAlexW2963258493MaRDI QIDQ683490
Publication date: 6 February 2018
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.05693
\(p\)-Laplacianglobal weak solutions\(p\)-momentumBenamou-Brenier functionalWasserstein-\(p\) geodesics
PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of weak solutions to doubly degenerate diffusion equations.
- Large time asymptotics of the doubly nonlinear equation in the non-displacement convexity regime
- A degenerate \(p\)-Laplacian Keller-Segel model
- Two nonlinear compactness theorems in \(L^p(0,T;B)\)
- Navier-Stokes equations with shear thinning viscosity. Regularity up to the boundary
- Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
- Existence theory for stochastic power law fluids
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Existence results for doubly nonlinear higher order parabolic equations on unbounded domains
- Compact sets in the space \(L^ p(0,T;B)\)
- Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
- Well-posedness in Sobolev spaces of the full water wave problem in 2D
- On a nonlinear compactness lemma in \(L^{p}(0,T;B)\)
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- Are the incompressible 3d Navier-Stokes equations locally ill-posed in the natural energy space?
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- On the existence of certain singular integrals
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- A Fully Nonlinear Version of the Incompressible Euler Equations: The Semigeostrophic System
- Elliptic boundary value problems in unbounded domains with noncompact and nonsmooth boundaries
- Invariant variation problems
- Well-posedness in Sobolev spaces of the full water wave problem in 3-D
- Growth rates for the linearized motion of fluid interfaces away from equilibrium
- Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
- Geometry and a priori estimates for free boundary problems of the Euler's equation
- Nonlinear Differential Equations of Monotone Types in Banach Spaces
- Existence theory for generalized Newtonian fluids
This page was built for publication: \(p\)-Euler equations and \(p\)-Navier-Stokes equations
