On the generalized Buckley-Leverett equation
DOI10.1063/1.4945786zbMath1338.35460arXiv1509.07799OpenAlexW3100224071MaRDI QIDQ2804953
Rafael Granero-Belinchón, Jan Burczak, Garving K. Luli
Publication date: 9 May 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.07799
PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Flows in porous media; filtration; seepage (76S05) Nonlinear higher-order PDEs (35G20) Dusty-gas two-phase flows (76T15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Strong solutions to PDEs (35D35)
Related Items
Cites Work
- Unnamed Item
- Global existence for some transport equations with nonlocal velocity
- Bounded domain problem for the modified Buckley-Leverett equation
- Boundedness of large-time solutions to a chemotaxis model with nonlocal and semilinear flux
- An extension of Glimm's method to inhomogeneous strictly hyperbolic systems of conservation laws by ``weaker than weak solutions of the Riemann problem
- A maximum principle for the Muskat problem for fluids with different densities
- Blow up and regularity for fractal Burgers equation
- Global existence, singularities and ill-posedness for a nonlocal flux
- Exploding solutions for a nonlocal quadratic evolution problem
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- On the derivation of the Buckley-Leverett model from the two fluid Navier-Stokes equations in a thin domain
- A maximum principle applied to quasi-geostrophic equations
- Nonlinear maximum principles for dissipative linear nonlocal operators and applications
- On the global existence for the Muskat problem
- An approximate treatment of gravitational collapse.
- Long time dynamics of forced critical SQG
- Blow-up of solutions for a 1D transport equation with nonlocal velocity and supercritical dissipation
- Formation of singularities for a transport equation with nonlocal velocity
- An aggregation equation with a nonlocal flux
- The generalized Buckley-Leverett and the regularized Buckley-Leverett equations
- Hyperbolic systems of conservation laws II
- Finite time singularities and global well-posedness for fractal Burgers equations
- A Bound on the Total Variation of the Conserved Quantities for Solutions of a General Resonant Nonlinear Balance Law
- On the effect of boundaries in two-phase porous flow
- On a nonlocal analog of the Kuramoto–Sivashinsky equation
- About a generalized Buckley-Leverett equation and lubrication multifluid flow
- A New Class of Entropy Solutions of the Buckley–Leverett Equation
- Global Existence for the Confined Muskat Problem
- Solutions in the large for nonlinear hyperbolic systems of equations