Hyperbolic Problems: Theory, Numerics, Applications

Fluids
- Mathematical Study of Static Grain Deep-Bed Drying Models
- Finite Volume Central Schemes for Three-Dimensional Ideal MHD
- Finite Volume Methods for Low Mach Number Flows under buoyancy
- Time Splitting with Improved Accuracy for the Shallow Water Equations
- Compact Third-Order Logarithmic Limiting for Nonlinear Hyperbolic Conservation Laws
- A Finite Volume Grid for Solving Hyperbolic Problems on the Sphere
- Capturing Infinitely Sharp Discrete Shock Profiles with the Godunov Scheme
- Propagation of Diffusing Pollutant by a Hybrid Eulerian-Lagrangian Method
- Nonlocal Conservation Laws with Memory
- Global Weak Solutions for a Shallow Water Equation
- Structural Stability of Shock Solutions of Hyperbolic Systems in Nonconservation Form via Kinetic Relations
- A Hyperbolic Model of Multiphase Flow
- Nonlinear Stability of Compressible Vortex Sheets
- Regularity and Compactness for the DiPerna-Lions Flow
- A Note on L 1 Stability of Traveling Waves for a One-Dimensional BGK Model
- The Weak Rankine Hugoniot Inequality
- Numerical Investigations Concerning the Strategy of Control of the Spatial Order of Approximation Along a Fitted Gas-Liquid Interface
- Domain Decomposition Techniques and Hybrid Multiscale Methods for Kinetic Equations
- A Shock Sensor-Based Second-Order Blended (Bx) Upwind Residual Distribution Scheme for Steady and Unsteady Compressible Flow
- Artificial Compressibility Approximation for the Incompressible Navier-Stokes Equations on Unbounded Domain
- Traveling-Wave Solutions for Hyperbolic Systems of Balance Laws
- A Hyperbolic-Elliptic Model for Coupled Well-Porous Media Flow
- High-Resolution Finite Volume Methods for Extracorporeal Shock Wave Therapy
- Asymptotic Properties of a Class of Weak Solutions to the Navier-Stokes-Fourier System
- A New Technique for the Numerical Solution of the Compressible Euler Equations with Arbitrary Mach Numbers
- Monokinetic Limits of the Vlasov-Poisson/Maxwell-Fokker-Planck System
- High-Resolution Methods and Adaptive Refinement for Tsunami Propagation and Inundation
- Young Measure Solutions of Some Nonlinear Mixed Type Equations
- Computing Phase Transitions Arising in Traffic Flow Modeling
- Dafermos Regularization for Interface Coupling of Conservation Laws
- Nonlocal Sources in Hyperbolic Balance Laws with Applications
- Comparison of Several Finite Difference Methods for Magnetohydrodynamics in 1D and 2D
- On Global Large Solutions to 1-D Gas Dynamics
- A Carbuncle Free Roe-Type Solver for the Euler Equations
- WENOCLAW: A Higher Order Wave Propagation Method
- Unsteady Transonic Airfoil Flow Simulations using High-Order WENO Schemes
- The Predictor-Corrector Method for Solving of Magnetohydrodynamic Problems
- A Central-Upwind Scheme for Nonlinear Water Waves Generated by Submarine Landslides
- An A Posteriori Error Estimate for Glimm's Scheme
- Multiphase Flows in Mass Transfer in Porous Media
- Nonlinear Hyperbolic-Elliptic Coupled Systems Arising in Radiation Dynamics
- The Lagrangian Coordinates Applied to the LWR Model
- Hyperbolic Conservation Laws and Spacetimes with Limited Regularity
- Arbitrary Lagrangian-Eulerian (ALE) Method in Cylindrical Coordinates for Laser Plasma Simulations
- Numerical Aspects of Parabolic Regularization for Resonant Hyperbolic Balance Laws
- Three-Dimensional Adaptive Central Schemes on Unstructured Staggered Grids
- High Amplitude Solutions for Small Data in Pairs of Conservation Laws that Change Type
- Asymptotic Behavior of Riemann Problem with Structure for Hyperbolic Dissipative Systems
- Maximal Entropy Solutions for a Scalar Conservation Law with Discontinuous Flux
- Semidiscrete Entropy Satisfying Approximate Riemann Solvers and Application to the Suliciu Relaxation Approximation
- On the L 2-Well Posedness of an Initial Boundary Value Problem for the Linear Elasticity in Two and Three Space Dimensions
- Intersections Modeling with a Class of "Second-Order" Models for Vehicular Traffic Flow
- Some Contributions About an Implicit Discretization of a 1D Inviscid Model for River Flows
- Remarks on the Nonhomogeneous Oseen Problem Arising from Modeling of the Fluid Around a Rotating Body
- Multi-D Bony Type Potential for the Boltzmann-Enskog Equation
- Convergence of Well-Balanced Schemes for the Initial Boundary Value Problem for Scalar Conservation Laws in 1D
- Stability for Multidimensional Periodic Waves Near Zero Frequency
- Existence of Strong Traces for Quasisolutions of Scalar Conservation Laws
- Path-Conservative Numerical Schemes for Nonconservative Hyperbolic Systems
- Numerical Modeling of Two-Phase Gravitational Granular Flows with Bottom Topography
- Linear Lagrangian Systems of Conservation Laws
- Normal Modes Analysis of Subsonic Phase Boundaries in Elastic Materials
- Large Time Step Positivity-Preserving Method for Multiphase Flows
- Velocity Discretization in Numerical Schemes for BGK Equations
- A Space-Time Conservative Method for Hyperbolic Systems of Relaxation Type
- A Numerical Scheme Based on Multipeakons for Conservative Solutions of the Camassa-Holm Equation
- Consistency of the Explicit Roe Scheme for Low Mach Number Flows in Exterior Domains
- Weak and Classical Solutions for a Model Problem in Radiation Hydrodynamics
- Spectral Analysis of Coupled Hyperbolic-Parabolic Systems on Finite and Infinite Intervals
- Toward an Improved Capture of Stiff Detonation Waves
- Generalized Momenta of Mass and Their Applications to the Flow of Compressible Fluid
- ADER-Runge-Kutta Schemes for Conservation Laws in One Space Dimension
- Strong Boundary Traces and Well-Posedness for Scalar Conservation Laws with Dissipative Boundary Conditions
- A Relaxation Method for the Coupling of Systems of Conservation Laws
- Increasing Efficiency Through Optimal RK Time Integration of Diffusion Equations
- Numerical Simulation of Relativistic Flows Described by a General Equation of State
- On Delta-Shocks and Singular Shocks
- Finite Dimensional Representation of Solutions of Viscous Conservation Laws
- A Moving-Boundary Tracking Algorithm for Inviscid Compressible Flow
- Transparent Boundary Conditions for the Elastic Waves in Anisotropic Media
- Counterflow Combustion in a Porous Medium
- Global Attractor and its Dimension for a Klein-Gordon-Schrödinger System
- A Few Remarks About a Theorem by J. Rauch
- A Riemann Solver Approach for Conservation Laws with Discontinuous Flux
- The Strong Shock Wave in the Problem on Flow Around Infinite Plane Wedge
- The Derivative Riemann Problem for the Baer-Nunziato Equations
- Stability of Contact Discontinuities for the Nonisentropic Euler Equations in Two-Space Dimensions
- Three-Dimensional Numerical MHD Simulations of Solar Convection
- Large-Time Behavior of Entropy Solutions to Scalar Conservation Laws on Bounded Domain
- A Second-Order Improved Front Tracking Method for the Numerical Treatment of the Hyperbolic Euler Equations
- Simulation of Field-Aligned Ideal MHD Flows Around Perfectly Conducting Cylinders Using an Artificial Compressibility Approach
- Vanishing at Most Seventh-Order Terms of Scalar Conservation Laws
- Large-Time Behavior for a Compressible Energy Transport Model
- Novel Entropy Stable Schemes for 1D and 2D Fluid Equations