Products of distributions and singular travelling waves as solutions of advection-reaction equations

DOI10.1134/S1061920812020100zbMath1284.35112MaRDI QIDQ2437101

Carlos Orlando R. Sarrico

Publication date: 28 February 2014

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

jump discontinuitywave speeddelta-waves

Mathematics Subject Classification ID

Initial value problems for nonlinear first-order PDEs (35F25) Traveling wave solutions (35C07)

Related Items (15)

Singular traveling wave solutions for Boussinesq equation with power law nonlinearity and dual dispersion ⋮ Multiplication of distributions and singular waves in several physical models ⋮ New distributional global solutions for the Hunter-Saxton equation ⋮ The Brio system with initial conditions involving Dirac masses: a result afforded by a distributional product ⋮ Multiplication of distributions and travelling wave solutions for the Keyfitz-Kranzer system ⋮ A DISTRIBUTIONAL PRODUCT APPROACH TO δ-SHOCK WAVE SOLUTIONS FOR A GENERALIZED PRESSURELESS GAS DYNAMICS SYSTEM ⋮ Delta shock waves in the shallow water system ⋮ Products of distributions, conservation laws and the propagation of \(\delta'\)-shock waves ⋮ Distributions as initial values in a triangular hyperbolic system of conservation laws ⋮ Creation, annihilation, and interaction of delta-waves in nonlinear models: a distributional product approach ⋮ Products of distributions and collision of a δ-wave with a δ′-wave in a turbulent model ⋮ The Multiplication of Distributions in the Study of a Riemann Problem in Fluid Dynamics ⋮ Newton’s second law and the multiplication of distributions ⋮ Distributions as travelling waves in a nonlinear model from elastodynamics ⋮ The Riemann problem for the Brio system: a solution containing a Dirac mass obtained via a distributional product

Cites Work

• New solutions for the one-dimensional nonconservative inviscid Burgers equation
• Collision of delta-waves in a turbulent model studied via a distribution product
• Distributions and nonlinear partial differential equations
• Traveling wave solutions of a nonlinear reaction-advection equation
• Distributional products and global solutions for nonconservative inviscid Burgers equation
• Algebras of the singularities of singular solutions to first-order quasi-linear strictly hyperbolic systems
• A study of numerical methods for hyperbolic conservation laws with stiff source terms
• A nonstandard finite difference scheme for the diffusionless Burgers equation with logistic reaction
• Definition and weak stability of nonconservative products
• Pulsating traveling waves in the singular limit of a reaction-diffusion system in solid combustion
• A note on the non-existence of permanent form travelling wave solutions in a class of singular reaction-diffusion problems
• Multiplications of distributions in elasticity and hydrodynamics
• Generalized solutions of nonlinear differential equation and the maslov algebras of distributions
• Travelling waves for a coupled, singular reaction diffusion system arising from a model of fractional order autocatalysis with decay: I. Permanent form travelling waves
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Products of distributions and singular travelling waves as solutions of advection-reaction equations