Construction of solutions and \(L^{1}\)-error estimates of viscous methods for scalar conservation laws with boundary
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Publication:884910
DOI10.1007/s10114-005-0638-xzbMath1121.35079OpenAlexW2058395256MaRDI QIDQ884910
Publication date: 7 June 2007
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-005-0638-x
error estimatesinitial boundary value problemweak entropy solutionsscalar conservation lawsnew types of wavesvanishing viscosity methods
Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50)
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Cites Work
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- Asymptotic behavior for scalar viscous conservation laws with boundary effect
- Convergence of approximate solutions to conservation laws
- Nonlinear asymptotic stability of viscous shock profiles for conservation laws
- Boundary conditions for nonlinear hyperbolic systems of conservation laws
- Viscous limits for piecewise smooth solutions to systems of conservation laws
- Nonlinear stability of viscous shock waves
- Existence of the entropy solution for a viscoelastic model
- Compactness framework of \(L^p\) approximate solutions for scalar conservation laws
- Convergence to travelling fronts of solutions of the \(p\)-system with viscosity in the presence of a boundary
- Propagation of a stationary shock layer in the presence of a boundary
- Asymptotic behaviors of the solution to an initial-boundary value problem for scalar viscous conservation laws
- Explicit formula for the solution of convex conservation laws with boundary condition
- Asymptotic stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas with boundary
- A regularity theorem for conservation laws
- Pointwise Error Estimates for Relaxation Approximations to Conservation Laws
- Viscosity methods for piecewise smooth solutions to scalar conservation laws
- First order quasilinear equations with boundary conditions
- Global weak solutions to the problem of continuous sedimentation of an ideal suspension
- Hyperbolic systems of conservation laws II
- Nonlinear stability of shock waves for viscous conservation laws
- On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas
- Explicit Formula for Weighted Scalar Nonlinear Hyperbolic Conservation Laws
- First-orderL1-convergence for relaxation approximations to conservation laws
- Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation
- On L1 Convergence Rate of Viscous and Numerical Approximate Solutions of Genuinely Nonlinear Scalar Conservation Laws
- Pointwise Error Estimates for Scalar Conservation Laws with Piecewise Smooth Solutions
- On the piecewise smoothness of entropy solutions to scalar conservation laws
- Optimal L1-Rate of Convergence for The Viscosity Method and Monotone Scheme to Piecewise Constant Solutions with Shocks
- The Optimal Convergence Rate of Monotone Finite Difference Methods for Hyperbolic Conservation Laws
- Behaviors of Solutions for the Burgers Equation with Boundary corresponding to Rarefaction Waves
- Fractional Rate of Convergence for Viscous Approximation to Nonconvex Conservation Laws
- 𝐿¹-convergence rate of viscosity methods for scalar conservation laws with the interaction of elementary waves and the boundary
- Explicit formula for scalar non‐linear conservation laws with boundary condition
- Asymptotic Behavior of a One-Dimensional Compressible Viscous Gas with Free Boundary
- The Sharpness of Kuznetsov's O(√Δx)L 1 -Error Estimate for Monotone Difference Schemes
- Entropy Boundary Conditions in the Theory of Sedimentation of Ideal Suspensions
- Discontinuous solutions of non-linear differential equations
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
- Control of continuous sedimentation of ideal suspensions as an initial and boundary value problem
- The partial differential equation ut + uux = μxx
- Large-time behaviors of solutions to an inflow problem in the half-space for a one-dimensional system of compressible viscous gas
