Hamiltonian regularisation of the unidimensional barotropic Euler equations
DOI10.1016/j.nonrwa.2021.103455zbMath1502.35094OpenAlexW3045595130MaRDI QIDQ2061623
Billel Guelmame, Didier Clamond, Stéphane Junca
Publication date: 15 December 2021
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2021.103455
energy conservationregularisationEuler systemnonlinear hyperbolic systemsbarotropic flowsgeneralised Hunter-Saxton system
Smoothness and regularity of solutions to PDEs (35B65) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Second-order nonlinear hyperbolic equations (35L70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
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- Wave breaking and global existence for the generalized periodic two-component Hunter-Saxton system
- Large time existence for 1D Green-Naghdi equations
- On the Cauchy problem of a periodic 2-component \(\mu\)-Hunter-Saxton system
- Global weak solutions for a modified two-component Camassa-Holm equation
- On the Cauchy problem of a weakly dissipative \(\mu\)-Hunter-Saxton equation
- Global conservative solutions of the Camassa-Holm equation
- A Hamiltonian regularization of the Burgers equation
- The Riemann problem for the Leray-Burgers equation
- On a regularization of the compressible Euler equations for an isothermal gas
- On a completely integrable nonlinear hyperbolic variational equation
- Weakly singular shock profiles for a non-dispersive regularization of shallow-water equations
- The initial value problem for a generalized Boussinesq equation.
- Conservative modified Serre-Green-Naghdi equations with improved dispersion characteristics
- Fast accurate computation of the fully nonlinear solitary surface gravity waves
- Non-dispersive conservative regularisation of nonlinear shallow water (and isentropic Euler equations)
- Vanishing viscosity solutions of nonlinear hyperbolic systems
- Viscous and inviscid regularizations in a class of evolutionary partial differential equations
- An examination of the homentropic Euler equations with averaged characteristics
- Linear stability of solitary waves of the Green-Naghdi equations
- A New Potential Regularization of the One-Dimensional Euler and Homentropic Euler Equations
- The small dispersion limit of the korteweg-de vries equation. ii
- The small dispersion limit of the Korteweg-de Vries equation. III
- The small dispersion limit of the Korteweg-de Vries equation. I
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
- Viscosity Solutions of Hamilton-Jacobi Equations
- On a new class of completely integrable nonlinear wave equations. II. Multi-Hamiltonian structure
- Commutator estimates and the euler and navier-stokes equations
- Dynamics of Director Fields
- An integrable shallow water equation with peaked solitons
- Nonclassical Shocks and Kinetic Relations: Strictly Hyperbolic Systems
- On the Structure of Solutions to the Periodic Hunter--Saxton Equation
- Zero Diffusion-Dispersion Limits for Scalar Conservation Laws
- Global Solutions for the Two-Component Camassa–Holm System
- Well-posedness and derivative blow-up for a dispersionless regularized shallow water system
- A Leray-type regularization for the isentropic Euler equations
- A Method for the Numerical Calculation of Hydrodynamic Shocks
- Hamiltonian regularisation of shallow water equations with uneven bottom
- Hyperbolic Conservation Laws in Continuum Physics
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