Screen LibraryHyperbolic problems : theory, numericas and applications /
This two-volume book is devoted to mathematical theory, numerics and applications of hyperbolic problems. Hyperbolic problems have not only a long history but also extremely rich physical background. The development is highly stimulated by their applications to Physics, Biology, and Engineering Scie...
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| Corporate Authors: | ; |
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| Group Author: | ; |
| Published: |
World Scientific Pub. Co. : Higher Education Press,
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| Publisher Address: | Singapore ; Hackensack, N.J. : Beijing : |
| Publication Dates: | 2012. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Series in contemporary applied mathematics ;
17-18 |
| Subjects: | |
| Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/8550#t=toc |
| Summary: |
This two-volume book is devoted to mathematical theory, numerics and applications of hyperbolic problems. Hyperbolic problems have not only a long history but also extremely rich physical background. The development is highly stimulated by their applications to Physics, Biology, and Engineering Sciences; in particular, by the design of effective numerical algorithms. Due to recent rapid development of computers, more and more scientists use hyperbolic partial differential equations and related evolutionary equations as basic tools when proposing new mathematical models of various phenomena and related numerical algorithms. This book contains 80 original research and review papers which are written by leading researchers and promising young scientists, which cover a diverse range of multi-disciplinary topics addressing theoretical, modeling and computational issues arising under the umbrella of "Hyperbolic Partial Differential Equations". It is aimed at mathematicians, researchers in applied sciences and graduate students. |
| Carrier Form: | 2 v. (xv, xvi, 759 pages) : illustrations (some color). |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9789814417099 (electronic bk.) |
| CLC: | O175.2-532 |
| Contents: |
vol. 1. SBV regularity for scalar conservation laws / Stefano Bianchini -- Entropy stable ENO scheme / Ulrik S. Fjordholm, Siddhartha Mishra, Eitan Tadmor -- Large time behavior of solutions for compressible Navier-Stokes equations / Feimin Huang -- On asymptotic behavior of solutions of the compressible Navier-Stokes equation around a parallel flow / Yoshiyuki Kagei -- On nonlinear stability of viscous shock waves with physical viscosity / Tai-Ping Liu, Yanni Zeng -- Stellar structure, dynamics and stability / Tao Luo, Joel Smoller -- On some non-strictly hyperbolic systems of conservation laws / Evgueni Yu. Panov -- Irrotational flows for Chaplygin gas: conical waves / Denis Serre -- Dissipative coupling of scalar conservation laws across an interface: theory and applications / Boris Andreianov -- Aggregation equation with growing at infinity attractive-repulsive potentials / Daniel Balagu , Jos A. Carrillo -- Mixed type problems for transonic flow in gas dynamics and isometric embedding in geometry /Gui-Qiang Chen, Marshall Slemrod, Dehua Wang -- Hamiltonian approximation of entropy solutions of the Burgers equation / Giuseppe Maria Coclite, Kenneth Hvistendahl Karlsen -- Coupling hyperbolic conservation laws and ordinary differential equations / Rinaldo M. Colombo -- Stability of finite difference schemes for hyperbolic initial boundary value problems / Jean-Fran ois Coulombel -- Hysteresis and phase transition in many-particle storage systems / Wolfgang Dreyer, Clemens Guhlke -- Existence of algebraic vortex spirals / Volker Elling -- Robust finite volume schemes for simulating waves in the solar atmosphere /Franz G. Fuchs ... [et al.] -- Maximum principle of central schemes with k-monotone fluxes / Orhan Mehmetoglu, Bojan Popov -- Darcy's law in one-dimensional isentropic porous medium flow / Ronghua Pan -- Diffusive expansion for solutions of the Boltzmann equation in the whole space / Huijiang Zhao -- A nonlocal conservation law from a model of granular flow / Debora Amadori, Wen Shen -- Computing Time-periodic solutions of nonlinear systems of partial differential equations / David M. Ambrose, Jon Wilkening -- Boundary value problem for the linearized Euler-Korteweg system on the half line / Corentin Audiard -- A simple model for cavitation with non-condensable gases / Mathieu Bachmann ... [et al.] -- Adjoint IMEX-based schemes for the numerical solution of optimal control problems governed by conservation laws / Mapundi K. Banda, Michael Herty -- A two-dimensional model of pedestrian flow generating pattern formation / Stefan Berres ... [et al.] -- Well-posedness and travelling wave analysis for a strongly degenerate parabolic aggregation equation / Fernando Betancourt, Raimund B rger, Kenneth H. Karlsen -- CDG method for Navier-Stokes equations / Slavko Brdar, Andreas Dedner, Robert Kl fkorn -- IFCP Riemann solver for the Pitman-Le system / Manuel J. Castro, Enrique D. Fern ndez-Nieto, Jos M. Gonz lez-Vida. On the hyperbolicity of two- and three-layer shallow water equations / M. Castro ... [et al.] -- Computing material fronts with a Lagrange-Projection approach / Christophe Chalons, Fr d ric Coquel -- A numerical method for a shallow water model with dispersive source terms / Florent Chazel, David Lannes, Fabien Marche -- vol. 2. Convergence analysis of the particle method for the Camassa-Holm equation / Alina Chertock, Jian-Guo Liu, Terrance Pendleton -- Stable numerical scheme for the magnetic induction equation with Hall effect / Paolo Corti -- A local discontinuous Galerkin discretization for hydrostatic free surface flows using [symbol]-transformed coordinates / Andreas Dedner, Christoph Gersbacher -- Analysis of quasineutral limits / Donatella Donatelli, Pierangelo Marcati -- On the full dissipative property of the Vlasov-Poisson-Boltzmann system / Renjun Duan, Robert M. Strain -- On the space-time expansion discontinuous Galerkin method / P. Engel, C. Rohde -- Energy conservative and stable schemes for the two-layer shallow water equations / Ulrik Skre Fjordholm -- Sharp interface limits for Korteweg models / Jan Giesselmann -- On the convergence of semi-discrete high resolution schemes with superbee flux limiter for conservation laws / Nan Jiang -- Asymptotic limits of the compressible magnetohydrodynamic equations / Song Jiang, Qiangchang Ju, Fucai Li -- Waiting time for a non-Newtonian polytropic filtration equation with convection / Chunhua Jin, Tong Yang, Jingxue Yin -- Stability of rarefaction waves to the 1D compressible Navier-Stokes equations with density-dependent viscosity / Quansen Jiu, Yi Wang, Zhouping Xin -- Ten-moment two-fluid plasma model agrees well with PIC/Vlasov in GEM problem / E. A. Johnson, J. A. Rossmanith -- Numerical simulation of nonclassical shock waves in porous media with a heterogeneous multiscale method / Frederike Kissling, Christian Rohde -- Implicit finite difference scheme for the magnetic induction equation / Ujjwal Koley -- On effects of stochastic regularization for the pressureless gas dynamics / Anastasia Korshunova, Olga Rozanova -- Jump conditions across phase boundaries for the Navier-Stokes Korteweg system / Dietmar Kroener -- Numerical treatment of a non-classical transport equation modelling radiative transfer in atmospheric clouds / Kai Krycki, Martin Frank -- Finite volume methods for the two-fluid MHD equations / Harish Kumar -- Nonlinear stability of large amplitude traveling waves to hyperbolic-parabolic system modeling chemotaxis / Tong Li, Zhi-An Wang -- Quasi-neutral limits of the two-fluid Euler-Poisson systems / Yong Li ... [et al.] -- Dynamically adaptive simulation of solute transport driven by shallow flows / Qiuhua Liang -- Asymptotic stability of rarefaction waves in radiative hydrodynamics / Chunjin Lin -- A symplecticity-preserving gas-kinetic scheme for hydrodynamic equations under external forcing field / Jun Luo, Kun Xu. Shock wave admissibility and shock-induced phase transitions in a van der Waals fluid / Andrea Mentrelli ... [et al.] -- L[symbol] stability for scalar balance laws; application to pedestrian traffic / Magali Mercier -- Solver for the generalized Riemann problem for balance laws with stiff source terms: the scalar case / Gino Montecinos, Eleuterio Toro -- Related problems for TV-estimates for conservation laws on surfaces / Thomas Mueller, Dietmar Kroener -- Properties of path-conservative schemes for hyperbolic systems of balance laws / Mar a Luz Mu oz-Ruiz, Carlos Par s Madro al -- A fast sweeping method for computing the effective Hamiltonian / Martin Nolte -- A spectral difference method with Dubiner polynomials on triangulations / Martina Pawlak, Thomas Sonar -- Adaptive grids and the entropy error indicator / G. Puppo, M. Semplice -- Large-time behavior of solutions to the inflow problem of full compressible Navier-Stokes equations / Xiaohong Qin, Yi Wang -- Mechanism of singularity formation for linearly degenerate quasilinear hyperbolic systems / Peng Qu -- Extension of Harten's artificial compression method and of an entropy-based detector of discontinuity to unstructured triangular grids, using Arminjon-Viallon's staggered central scheme / Olivier Rouch, Paul Arminjon -- Layered structures: instability of the shock waves and elecrtodynamical instability / Roman Semenko -- Global classical discontinuous solutions to the generalized Riemann problem for linearly degenerate hyperbolic conservation laws under small BV perturbations of the initial data / Zhi-Qiang Shao -- One class of systems of conservation laws admitting delta-shocks / V. M. Shelkovich -- A conservation law with nonlocal flux for erosion profiles / Wen Shen, Tianyou Zhang -- A moving-mesh relaxation scheme for one-dimensional barotropic two-phase flow with cavitation / Keh-Ming Shyue -- Well-posedness of the free boundary problem for non-relativistic and relativistic compressible Euler equations with a vacuum boundary condition / Yuri Trakhinin -- Convergence rate to the stationary waves for viscous conservation laws with non-convexity on the half space / Yoshihiro Ueda -- Numerical simulation of shock-bubble interactions using conservative front tracking method / M. A. Ullah, Wenbin Gao, De-Kang Mao -- Asymptotic stability of viscous contact wave for the 1D radiation hydrodynamics system / Jing Wang, Feng Xie -- Dispersive limits of the nonlinear Klein-Gordon equation / Kung-Chien Wu, Chi-Kun Lin -- Semiclassical limit of quantum semiconductor models / Hao Yan, Li Chen -- A result on global solutions to 3D complex Ginzburg-Landau equation / Penghong Zhong ... [et al.] -- Exact configuration for 3D Ginzburg-Landau equation based on some ODEs / Penghong Zhong ... [et al.]. |