Numerical schemes for a pseudo-parabolic Burgers equation: Discontinuous data and long-time behaviour
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Publication:2519718
DOI10.1016/j.cam.2008.05.001zbMath1154.76036OpenAlexW2130152991MaRDI QIDQ2519718
Publication date: 27 January 2009
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2008.05.001
PDEs in connection with fluid mechanics (35Q35) Incompressible viscous fluids (76D99) Finite volume methods applied to problems in fluid mechanics (76M12)
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Cites Work
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- Decay of solutions of some nonlinear wave equations
- Complexity of large time behaviour of evolution equations with bounded data
- Galerkin finite element methods for parabolic problems
- Introduction to modeling of transport phenomena in porous media
- A model problem for groundwater flow with dynamic capillary pressure: stability of travelling waves
- Dynamic capillary effects in heterogeneous porous media
- Effective Equations for Two-Phase Flow with Trapping on the Micro Scale
- Small- and Waiting-Time Behavior of a Darcy Flow Model with a Dynamic Pressure Saturation Relation
- Superconvergence of a Finite Element Approximation to the Solution of a Sobolev Equation in a Single Space Variable
- Invariants and Asymptotic Behavior of Solutions of a Conservation Law
- Time-Stepping Galerkin Methods for Nonlinear Sobolev Partial Differential Equations
- Infiltration in porous media with dynamic capillary pressure: travelling waves
- A New Class of Entropy Solutions of the Buckley–Leverett Equation
- Behavior of the solutions of the Cauchy problem for certain quasilinear equations for unbounded increase of the time
- Model equations for long waves in nonlinear dispersive systems
- The partial differential equation ut + uux = μxx
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