Distributions as travelling waves in a nonlinear model from elastodynamics

DOI10.1016/j.physd.2020.132328zbMath1501.35393OpenAlexW3000155545WikidataQ126398082 ScholiaQ126398082MaRDI QIDQ2115371

Carlos Orlando R. Sarrico

Publication date: 15 March 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2020.132328

zbMATH Keywords

products of distributionsnonconservative systemstravelling shock wavestravelling waves which are not measurestravelling delta waves

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Elastic materials (74B99) PDEs in connection with mechanics of deformable solids (35Q74) Explicit solutions of dynamical problems in solid mechanics (74H05) Traveling wave solutions (35C07)

Related Items (4)

The multiplication of distributions in the study of delta shock wave for a hyperbolic system of Temple class ⋮ Distributional profiles for traveling waves in the Camassa-Holm equation ⋮ The multiplication of distributions in the one-dimensional Eulerian droplet model ⋮ The movement of a particle according to the Gurevich–Zybin dark matter model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Riemann problem for the Brio system: a solution containing a Dirac mass obtained via a distributional product
• Discontinuous generalized solutions of nonlinear nonconservative hyperbolic equations
• New solutions for the one-dimensional nonconservative inviscid Burgers equation
• Exact solutions for some non-conservative hyperbolic systems
• Collision of delta-waves in a turbulent model studied via a distribution product
• Generalized solutions to a Cauchy problem for a nonconservative hyperbolic system
• Distributional products and global solutions for nonconservative inviscid Burgers equation
• New distributional travelling waves for the nonlinear Klein-Gordon equation.
• Multiplication of distributions and a nonlinear model in elastodynamics
• Existence result for a class of nonconservative and nonstrictly hyperbolic systems
• Definition and weak stability of nonconservative products
• The multiplication of distributions in the study of delta shock wave for the nonlinear chromatography system
• Initial boundary value problem for a nonconservative system in elastodynamics
• Products of distributions and singular travelling waves as solutions of advection-reaction equations
• Multiplications of distributions in elasticity and hydrodynamics
• APPROXIMATE SHOCK CURVES FOR NON-CONSERVATIVE HYPERBOLIC SYSTEMS IN ONE SPACE DIMENSION
• A NONCONSERVATIVE HYPERBOLIC SYSTEM MODELING SPRAY DYNAMICS. PART I: SOLUTION OF THE RIEMANN PROBLEM
• Distributions as initial values in a triangular hyperbolic system of conservation laws
• Delta shock waves in conservation laws with impulsive moving source: some results obtained by multiplying distributions
• Schemes with Well-Controlled Dissipation. Hyperbolic Systems in Nonconservative Form
• Riemann Problem for a limiting system in elastodynamics
• A DISTRIBUTIONAL PRODUCT APPROACH TO δ-SHOCK WAVE SOLUTIONS FOR A GENERALIZED PRESSURELESS GAS DYNAMICS SYSTEM

This page was built for publication: Distributions as travelling waves in a nonlinear model from elastodynamics