Nonlinear acoustics and shock formation in lossless barotropic Green-Naghdi fluids
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Publication:330410
DOI10.3934/eect.2016008zbMath1351.35129arXiv1601.06430OpenAlexW2254352692MaRDI QIDQ330410
Publication date: 26 October 2016
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.06430
Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Hydro- and aero-acoustics (76Q05) Blow-up in context of PDEs (35B44) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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Cites Work
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- Mathematics of nonlinear acoustics
- Well-posedness and asymptotic behavior of solutions for the Blackstock-Crighton-Westervelt equation
- Discontinuity waves as tipping points: applications to biological \& sociological systems
- Second-sound phenomena in inviscid, thermally relaxing gases
- Shocks and acceleration waves in modern continuum mechanics and in social systems
- Relaxation of regularity for the Westervelt equation by nonlinear damping with applications in acoustic-acoustic and elastic-acoustic coupling
- Well-posedness and exponential decay of solutions for the Blackstock-Crighton-Kuznetsov equation
- Heat waves.
- Boundary observability and stabilization for Westervelt type wave equations without interior damping
- Interacting wave fronts and rarefaction waves in a second order model of nonlinear thermoviscous fluids
- Existence of traveling wave solutions of a high-order nonlinear acoustic wave equation
- On the propagation of second-sound in linear and nonlinear media: results from Green-Naghdi theory
- The transition from acceleration wave to shock wave
- Modeling and simulation of first and second sound in solids
- Global existence and exponential decay rates for the Westervelt equation
- On the propagation of sonic discontinuities in the unsteady flow of a perfect gas
- Acceleration waves and second sound in a perfect fluid
- On the Lambert \(w\) function
- On the propagation of nonlinear acoustic waves in viscous and thermoviscous fluids
- Green-Naghdi type III viscous fluids
- Acoustic traveling waves in thermoviscous perfect gases: kinks, acceleration waves, and shocks under the Taylor-Lighthill balance
- Compound waves in a higher order nonlinear model of thermoviscous fluids
- Dissipative acoustic solitons under a weakly-nonlinear, Lagrangian-averaged Euler-\(\alpha\) model of single-phase lossless fluids
- An analytical study of Kuznetsov's equation: diffusive solitons, shock formation, and solution bifurcation
- Jump relations and discontinuity waves in conductors with memory
- A general theory of heat conduction with finite wave speeds
- On the growth and decay of one-dimensional temperature rate waves
- Discontinuity formation in solutions of homogeneous non-linear hyperbolic equations possessing smooth initial data
- Shock formation in the presence of entropy gradients
- A simple finite difference scheme for modeling the finite-time blow-up of acoustic acceleration waves
- Well-posedness and Exponential Decay for the Westervelt Equation with Inhomogeneous Dirichlet Boundary Data
- An analysis of nonhomogeneous Kuznetsov's equation: Local and global well-posedness; exponential decay
- Acoustic acceleration waves in homentropic Green and Naghdi gases
- Green–Naghdi fluid with non-thermal equilibrium effects
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- AN INTRINSIC DESCRIPTION OF UNSTEADY SHOCK WAVES
- Waves and Compressible Flow
- Finite Volume Methods for Hyperbolic Problems
- On the growth and decay of acceleration waves in random media
- A unified procedure for construction of theories of deformable media. I. Classical continuum physics
- On energy and entropy influxes in the Green–Naghdi Type III theory of heat conduction
- Mathematics of Continuous and Discrete Dynamical Systems
- Corrigendum and addendum: modeling weakly nonlinear acoustic wave propagation
- Resonant oscillations in closed tubes
- Analytical shock solutions at large and small Prandtl number
- Modeling weakly nonlinear acoustic wave propagation
- The structure of a weak shock wave undergoing reflexion from a wall
- Variational principles in continuum mechanics
- Nonlinearity in fluid resonances
