Found 56 Documents (Results 1–56)
Sedimentation waves in a two-phase granular liquid. (English. Russian original) Zbl 07872736
Fluid Dyn. 58, No. 7, 1277-1287 (2023); translation from Prikl. Mat. Mekh. 87, No. 2, 240-253 (2023).
Learning the nonlinear flux function of a hidden scalar conservation law from data. (English) Zbl 1531.68086
An oscillation free local discontinuous Galerkin method for nonlinear degenerate parabolic equations. (English) Zbl 1535.65208
Coupled mixed finite element and finite volume methods for a solid velocity-based model of multidimensional sedimentation. (English) Zbl 1522.35397
Convergence of entropy stable schemes for degenerate parabolic equations with a discontinuous convection term. (English) Zbl 07737663
Velocity averaging for diffusive transport equations with discontinuous flux. (English) Zbl 1521.35112
Uniform tail estimates and \(L^p( {\mathbb{R}}^N) \)-convergence for finite-difference approximations of nonlinear diffusion equations. (English) Zbl 07700760
Identification of the flux function of nonlinear conservation laws with variable parameters. (English) Zbl 1517.35263
The immersed interface method for Helmholtz equations with degenerate diffusion. (English) Zbl 1540.65458
Entropy solutions and flux identification of a scalar conservation law modelling centrifugal sedimentation. (English) Zbl 1446.35073
Asymptotic behavior of solutions to anisotropic conservation laws in two-dimensional space. (English) Zbl 1445.35064
Calibration of a sedimentation model through a continuous genetic algorithm. (English) Zbl 1465.76102
The Cauchy problem for a class of nonlinear degenerate parabolic-hyperbolic equations. (English) Zbl 1415.35152
Computational uncertainty quantification for some strongly degenerate parabolic convection-diffusion equations. (English) Zbl 1462.65124
On basic equations and kinematic-wave theory of separation processes in suspensions with gravity, centrifugal and Coriolis forces. (English) Zbl 1444.76122
Continuous dependence estimate for a degenerate parabolic-hyperbolic equation with Lévy noise. (English) Zbl 1370.60107
Well-posedness theory for degenerate parabolic equations on Riemannian manifolds. (English) Zbl 1382.58020
Reviewer: Dian K. Palagachev (Bari)
Entropy solutions of a scalar conservation law modeling sedimentation in vessels with varying cross-sectional area. (English) Zbl 1382.35159
Reviewer: Ilya A. Chernov (Petrozavodsk)
Weighted weak formulation for a nonlinear degenerate parabolic equation arising in chemotaxis or porous media. (English) Zbl 1355.35113
Global classical solutions to the Cauchy problem of conservation laws with degenerate diffusion. (English) Zbl 1336.35232
An augmented mixed-primal finite element method for a coupled flow-transport problem. (English) Zbl 1329.76157
Numerical solution of a multidimensional sedimentation problem using finite volume-element methods. (English) Zbl 1320.76085
Numerical identification of constitutive functions in scalar nonlinear convection-diffusion equations with application to batch sedimentation. (English) Zbl 1320.65136
MSC:
65M32
A kinetic approach to error estimate for nonautonomous anisotropic degenerate parabolic-hyperbolic equations. (English) Zbl 1332.35054
Continuous dependence of renormalized solution for nonlinear degenerate parabolic problems in the whole space. (English) Zbl 1323.35099
Reviewer: Vladimir N. Grebenev (Darmstadt)
On numerical methods for hyperbolic conservation laws and related equations modelling sedimentation of solid-liquid suspensions. (English) Zbl 1277.76059
Chen, Gui-Qiang G. (ed.) et al., Hyperbolic conservation laws and related analysis with applications. Selected papers based on the presentations at the workshop at the International Centre for Mathematical Sciences (ICMS) Edinburgh, UK, September 19–23, 2011. Berlin: Springer (ISBN 978-3-642-39006-7/hbk; 978-3-642-39007-4/ebook). Springer Proceedings in Mathematics & Statistics 49, 23-68 (2014).
Shock-wave behaviour of sedimentation in wastewater treatment: a rich problem. (English) Zbl 1421.76148
Åström, Kalle (ed.) et al., Analysis for science, engineering and beyond. The tribute workshop in honour of Gunnar Sparr, Lund, Sweden, May 8–9, 2008. Berlin: Springer. Springer Proc. Math. 6, 175-214 (2012).
Uniqueness of entropy solution for general anisotropic convection-diffusion problems. (English) Zbl 1250.35008
On the existence, uniqueness and stability of entropy solutions to scalar conservation laws. (English) Zbl 1251.35038
Reviewer: Evgeniy Panov (Novgorod)
An error estimate for the finite difference approximation to degenerate convection-diffusion equations. (English) Zbl 1248.65098
Reviewer: K. N. Shukla (Gurgaon)
Homogeneous Dirichlet problems for quasilinear anisotropic degenerate parabolic-hyperbolic equations. (English) Zbl 1241.35139
Uncertainty quantification for a clarifier-thickener model with random feed. (English) Zbl 1246.76069
Fořt, Jaroslav (ed.) et al., Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Berlin: Springer (ISBN 978-3-642-20670-2/hbk; 978-3-642-20671-9/ebook). Springer Proceedings in Mathematics 4, 195-203 (2011).
Entropy solution theory for fractional degenerate convection-diffusion equations. (English) Zbl 1217.35204
On models of polydisperse sedimentation with particle-size-specific hindered-settling factors. (English) Zbl 1205.76265
Large-time behavior of periodic entropy solutions to anisotropic degenerate parabolic-hyperbolic equations. (English) Zbl 1176.35031
Renormalized solution for nonlinear degenerate problems in the whole space. (English) Zbl 1173.35565
A five-parameter Markov model for simulating the paths of sedimenting particles. (English) Zbl 1129.76055
On Riemann problems and front tracking for a model of sedimentation of polydisperse suspensions. (English) Zbl 1138.35371
Reviewer: Argiris I. Delis (Chania)
Numerical simulation of clarifier-thickener units treating ideal suspensions with a flux density function having two inflection points. (English) Zbl 1187.76759
\(L^1\)-framework for continuous dependence and error estimates for quasilinear anisotropic degenerate parabolic equations. (English) Zbl 1096.35072
Reviewer: Shigeru Sakaguchi (Ehime)
A relaxation scheme for continuous sedimentation in ideal clarifier-thickener units. (English) Zbl 1122.76063
On mathematical models and numerical simulation of the fluidization of polydisperse suspensions. (English) Zbl 1147.76613
Monotone difference approximations for the simulation of clarifier-thickener units. (English) Zbl 1299.76283
Mathematical model and numerical simulation of the liquid fluidization of polydisperse solid particle mixtures. (English) Zbl 1299.76282
Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations. (English) Zbl 1031.35077
A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units. (English) Zbl 1013.35052
Reviewer: Thomas Sonar (Braunschweig)
A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations. (English) Zbl 1072.35545
An error estimate for viscous approximate solutions of degenerate parabolic equations. (English) Zbl 1183.35180
Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients. (English) Zbl 1032.76048
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