Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York

From MaRDI portal
Publication:1241340

zbMath0365.76001MaRDI QIDQ1241340

Kurt Otto Friedrichs, Richard Courant

Publication date: 1976

Published in: Applied Mathematical Sciences (Search for Journal in Brave)




Related Items

A Microscopic Point of View on Singularities in Fluid ModelsRecent Results on Stability of Planar DetonationsMulti-d isothermal Euler flow: existence of unbounded radial similarity solutionsFrom the Nash–Kuiper theorem of isometric embeddings to the Euler equations for steady fluid motions: Analogues, examples, and extensionsNewtonian Limits and Global Stability of Shock Solutions for Piston Problem to the Relativistic Full Euler SystemFinite amplitude waves in incompressible perfectly elastic materialsDelta shock as free piston in pressureless Euler flowsEuler Versus Lagrange: The Role of Coordinates in Practical Evans-Function ComputationsQuantum Semiconductor ModelsBlowup for the 3D compressible Euler equationsFlux approximation to the isentropic relativistic Euler equationsStability of spherically symmetric subsonic flows and transonic shocks under multidimensional perturbationsDelta shock wave for the equations of constant pressure fluid dynamics with a composite source termOn Radially Symmetric Solutions to Conservation LawsUnbounded solutions for conservation laws with sourceA relaxation-projection method for compressible flows. II: Artificial heat exchanges for multiphase shocksStabilization effect of frictions for transonic shocks in steady compressible Euler flows passing three-dimensional ductsOn non-uniqueness of continuous entropy solutions to the isentropic compressible Euler equationsExistence and uniqueness of the global \(L^1\) solution of the Euler equations for Chaplygin gasEvans function computation for the stability of travelling wavesA geometric singular perturbation approach for planar stationary shock wavesUnnamed ItemStability of rarefaction wave to the 1-D piston problem for exothermically reacting Euler equations3-d axisymmetric transonic shock solutions of the full Euler system in divergent nozzlesBook Review: Quasilinear hyperbolic systems, compressible flows, and wavesEvolution of interface singularities in shallow water equations with variable bottom topographyEvolution of weak noise and regular waves on dissipative shock fronts described by the Burgers modelInitial-boundary value problem for Euler equations with incompatible dataWell-posedness in smooth function spaces for the moving-boundary three-dimensional compressible Euler equations in physical vacuumA regularity result for the free boundary compressible Euler equations of a liquidDegenerate Cauchy–Goursat problem for 2‐D steady isentropic Euler system with van der Waals gasNon-relativistic limits of rarefaction wave to the 1-D piston problem for the isentropic relativistic Euler equationsMorawetz’s contributions to the mathematical theory of transonic flows, shock waves, and partial differential equations of mixed typeTwo‐dimensional pseudo‐steady supersonic flow around a sharp cornerNonlinear hydrodynamic corrections to supersonic F-KPP wave frontsA parameter-free staggered-grid Lagrangian scheme for two-dimensional compressible flow problemsShock diffraction by convex cornered wedges for the nonlinear wave systemTransition from acceleration waves to strong discontinuities in fluid-saturated solids: drained versus undrained behaviourDelta shocks interactions and the wave front tracking methodOn Stability of Transonic Shocks for Stationary Rayleigh Flows in Two-dimensional DuctsBinary modulated oscillations in a semi-discrete version of Burgers equationOn nonlinear stationary half-space problems in discrete kinetic theory.Exact solutions to a class of quasilinear hyperbolic systemsGlobal existence and decay in multi-component reaction-diffusion-advection systems with different velocities: oscillations in time and frequencyOn some special problems of thermodynamics of continuous mediaAmplitude Blowup in Radial Isentropic Euler FlowNumerical simulations for radiation hydrodynamics. II: Transport limitNonlinear flows along magnetic flux tubes: Mathematical structure and exact simple wave solutionsA REGULARIZED STIFFENED-GAS EQUATION OF STATECoupling of two hyperbolic systems by solving half-Riemann problemsAnalysis of a FEM/BEM coupling method for transonic flow computationsA Riemann solver for ``barotropic flowCollision of characteristic shock with weak discontinuity in non-ideal magnetogasdynamicsA global multidimensional shock wave for the steady supersonic isothermal flowMulti-dimensional quasi-simple waves in weakly dissipative flowsNearly discontinuous solutions of a class of nonlinear boundary value problemsA Convergent Series Expansion for Hyperbolic Systems of Conservation LawsHow does a shock in supersonic flow grow out of smooth data?Pairwise wave interactions in ideal polytropic gasesStability of shock solutions to piston problem for the magnetohydrodynamicsStability of oblique shock frontGlobal existence of a shock for the supersonic flow past a curved wedgeApproximate solution in gasdynamicsShock bowing and vorticity dynamics during propagation into different transverse density profilesOn a practical implementation of particle methodsSolitary waves generated by Bell-shaped initial conditions in the inviscid and viscous GRLW equationsPiston problems of two-dimensional Chaplygin gasTime-linearized, compact methods for the inviscid GRLW equation subject to initial Gaussian conditionsA class of three-dimensional compressible fluid flowsThe propagation of non-uniform magnetohydrodynamic shock waves subjected to oblique magnetic fieldsA detached shock calculation by second-order finite differencesAn Existence Theorem for the Point Source Blast Wave EquationEfficient implementation of ADER discontinuous Galerkin schemes for a scalable hyperbolic PDE engineDeflagration-to-detonation transition in pipes: the analytical theoryKinematics of a shock wave of arbitrary strength in a non-ideal gasDiscontinuous Fronts as Exact Solutions to Precipitating Quasi-geostrophic EquationsComputation of radially symmetric shocked flowsAn efficient ghost fluid method to remove overheating from material interfaces in compressible multi-medium flowsThe existence and stability of multi-dimensional shock frontsGlobal stability for nonlinear wave equations with multi-localized initial dataComparison principles for self-similar potential flowInteractions of delta shock waves for the equations of constant pressure fluid dynamicsMulti-symplectic, Lagrangian, one-dimensional gas dynamicsGlobal existence of the two-dimensional axisymmetric Euler equations for the Chaplygin gas with large angular velocitiesThe Regularity of Semihyperbolic Patches Near Sonic Lines for The 2-D Euler System in Gas DynamicsInteraction between a discontinuity wave and a shock wave: critical time for the fastest transmitted wave, example of the polytropic fluidExistence and Stability of Global Solutions of Shock Diffraction by Wedges for Potential FlowLARGE AMPLITUDE THEORY OF A SHOCK-ACCELERATED INSTABILITY IN COMPRESSIBLE FLUIDSUnnamed ItemConvex entropy, Hopf bifurcation, and viscous and inviscid shock stabilityViscous Hyperstabilization of Detonation Waves in One Space DimensionOn a quasilinear degenerate system arising in semiconductor theory. Part II: Localization of vacuum solutionsGlobal in time stability of steady shocks in nozzlesRigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limitBlow-up phenomena of solutions to the Euler equations for compressible fluid flowApplications of front tracking to the simulation of shock refractions and unstable mixingA spectral multidomain method for the solution of hyperbolic systemsStream function and stream-function-coordinate (SFC) formulation for inviscid flow field calculationsAn unconditionally stable implicit method for hyperbolic conservation lawsA stability index for detonation waves in Majda's model for reacting flowThe structure of solutions near a sonic line in gas dynamics via the pressure gradient equationAn unsplit Godunov method for systems of conservation laws on curvilinear overlapping gridsRestrictions on dynamically propagating surfaces of strong discontinuity in elastic-plastic solidsA comparison of numerical algorithms for unsteady transonic flowNonlinear development of instabilities in supersonic vortex sheets. I. The basic kink modesAnalysis of preconditioning and multigrid for Euler flows with low- subsonic regionsNumerical simulation of cylindrically converging shock wavesOn the decoupling problem of general quasilinear first order systems in two independent variablesRichtmyer-Meshkov instability of a liquid-gas interface driven by a cylindrical imploding pressure waveRequirements of thermodynamics in the analysis of elastic-plastic shock wavesClassification of the Riemann problem for compressible two-dimensional Euler system in non-ideal gasShock computations with adaptive mesh refinement and moving gridsApplication of the GRP scheme to open channel flow equationsThe generalized Riemann problem for reactive flowsGlobal existence of a class of smooth 3D spherically symmetric flows of Chaplygin gases with variable entropyCritical distances for the formation of strong discontinuities in fluid-saturated solidsBlast-induced waves in soil around a tunnelThe Riemann problem for the Baer-Nunziato two-phase flow modelA two-dimensional conservation laws scheme for compressible flows with moving boundariesSimple waves of the two dimensional compressible Euler equations in magnetohydrodynamicsOn the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methodsOn exact solutions of rarefaction-rarefaction interactions in compressible isentropic flowFinite difference schemes for solving system equations of gas dynamic in a class of discontinuous functions.Persistence of shocks in ductsTransition to longitudinal instability of detonation waves is generically associated with Hopf bifurcation to time-periodic galloping solutionsRiemann boundary value problems and reflection of shock for the Chaplygin gasGlobal smooth solutions of 3-D null-form wave equations in exterior domains with Neumann boundary conditionsOn reflection of multidimensional shock frontFloating grid characteristics method for unsteady flow over a mobile bedTowards the resolution of the Gibbs phenomena.Linear growth of a liquid droplet divided from its vapour by a ``soap bubble-like fluid interfaceThe influence of inertia on elastic-plastic antiplane-shear crack growthFinite difference method for solving boundary initial value problem of a system hyperbolic equations in a class of discontinuous functions.Shock waves in deformable dielectrics with polarization gradientsA class of large time step Godunov schemes for hyperbolic conservation laws and applicationsA reactive shock in a polytropic gasExact solution for non-self-similar wave-interaction problem during two-phase four-component flow in porous mediaStability of traveling wave solutions to Cauchy problem of diagnolizableInteraction of a characteristic shock with a weak discontinuity in a non-ideal gasBifurcation under parameter change of Riemann solutions for nonstrictly hyperbolic systemsDynamic evolution of a quasi-spherical general polytropic magnetofluid with self-gravityOn rotating star solutions to the non-isentropic Euler-Poisson equationsRemarks on the free boundary problem of compressible Euler equations in physical vacuum with general initial densitiesLocal well-posedness of a multidimensional shock wave for the steady supersonic isothermal flowA new two-dimensional flux-limited shock viscosity for impact calculationsThree-dimensional steady supersonic Euler flow past a concave cornered wedge with lower pressure at the downstreamAn interface tracking method for hyperbolic systems of conservation lawsStudy of two-sided similarity methods using a radiation ``switch on imploding shock in a magnetic fieldMathematical analysis of a two-phase continuum mixture theoryComputational methods in Lagrangian and Eulerian hydrocodesA subcell resolution method for viscous systems of conservation lawsGlobal existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gasesOne-dimensional stability of viscous strong detonation wavesAsymptotic method for multi-dimensional systems of partial differential equationsGlobal subsonic and subsonic-sonic flows through infinitely long axially symmetric nozzlesStability of detonation profiles in the ZND limitSecond-order Godunov-type scheme for reactive flow calculations on moving meshesInteraction of rarefaction waves and vacuum in a convex ductMulti-dimensional vortex quasi-simple wavesRiemann solvers in relativistic astrophysicsOn steady, inviscid shock waves at continuously curved, convex surfacesMultidimensional shock interaction for a Chaplygin gasOn a one-dimensional steady-state hydrodynamic model for semiconductorsA constructive theory for shock-free, isentropic flowA characteristic-based nonconvex entropy-fix upwind scheme for the ideal magnetohydrodynamic equationsSingularités de solutions d'équations aux dérivées partielles. (Singuarities of solutions of partial differential equations)Asymptotic analysis of steady dynamic crack growth in an elastic-plastic materialBoundary layer behavior in perturbed second-order systemsOn a regularization of the compressible Euler equations for an isothermal gasComputation of reactive duct flows in external fieldsComputer aided analysis of 1-D compressible flow problems in a Lagrangian particle description using the \(\alpha\) methodInteraction of four rarefaction waves in the bi-symmetric class of the pressure-gradient systemDynamic evolution model of isothermal voids and shocksA finite element formulation for a convection-diffusion equation based on Cattaneo's lawExistence of Chapman-Jouguet detonation for a viscous combustion modelA simple finite difference scheme for multidimensional magnetohydrodynamical equationsImpact-induced phase transformation in shape memory alloysNumerical simulations for radiation hydrodynamics. I: Diffusion limitOn two upwind finite-difference schemes for hyperbolic equations in non- conservative formA flux splitting method for the numerical simulation of one-dimensional compressible flowVariational principles for second-order quasi-linear scalar equationsThe random projection method for hyperbolic conservation laws with stiff reaction termsTests of spurious transport in smoothed particle hydrodynamicsA Chebyshev spectral method for gas transients in pipelinesAn admissibility condition for equilibrium shocks in finite elasticityGlobal exact boundary controllability of a class of quasilinear hyperbolic systems of conservation laws.Weak and strong detonation profiles for a qualitative model.Multidomain spectral solution of the Euler gas-dynamics equationsAnalytic solutions of simple wavesAsymptotic structures in nonlinear dissipative and dispersive systemsStreamwise computation of two-dimensional incompressible potential flowsInitiation of rapidly expanding supercritical fluidsA class of quasilinear degenerate elliptic problems.Formation and construction of shock for \(p\)-system.