The generalized Buckley-Leverett system: solvability
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Publication:1944760
DOI10.1007/s00205-012-0591-7zbMath1320.76110arXiv1011.5461OpenAlexW2034192664WikidataQ57622046 ScholiaQ57622046MaRDI QIDQ1944760
Wladimir Neves, Nikolai V. Chemetov
Publication date: 27 March 2013
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.5461
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Liquid-gas two-phase flows, bubbly flows (76T10)
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Cites Work
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- Existence and strong pre-compactness properties for entropy solutions of a first-order quasilinear equation with discontinuous flux
- Ordinary differential equations, transport theory and Sobolev spaces
- Two-phase flow equations with outflow boundary conditions in the hydrophobic-hydrophilic case
- Divergence-measure fields and hyperbolic conservation laws
- Kinetic formulation of the isentropic gas dynamics and \(p\)-systems
- Scalar multidimensional conservation laws IBVP in noncylindrical Lipschitz domains.
- Entropy solutions to the Buckley--Leverett equations
- Solution to the initial boundary-value problem for the regularized Buckley-Leverett system
- A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data
- Su un problema al contorno relativo al sistema di equazioni di Stokes
- Existence of global attractors for the three‐dimensional Brinkman–Forchheimer equation
- Analytical behavior of two-dimensional incompressible flow in porous media
- Existence of solutions of the hyperbolic Keller-Segel model
- A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
- On global solutions of a boundary-value problem for the one-dimensional buckley—leverett equations
- The existence of weak solutions to single porosity and simple dual-porosity models of two-phase incompressible flow
- Stability and Wave Motion in Porous Media
- Statistical Hydrodynamics in Porous Media
- Degenerate two-phase incompressible flow. I. Existence, uniqueness and regularity of a weak solution
