Shocks and acceleration waves in modern continuum mechanics and in social systems
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Publication:478978
DOI10.3934/eect.2014.3.541zbMath1304.35421OpenAlexW2332768940MaRDI QIDQ478978
Publication date: 5 December 2014
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/eect.2014.3.541
diffusion of innovationdiscontinuity surface propagationhunter gatherer-farmer transitionlanguage extinctionshock transmission
Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Ecology (92D40) Other natural sciences (mathematical treatment) (92F05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Modelling the dynamics of crystal meth (`tik') abuse in the presence of drug-supply chains in South Africa
- Acoustic waves in a Cattaneo-Christov gas
- Christov-Morro theory for non-isothermal diffusion
- Discontinuity waves as tipping points: applications to biological \& sociological systems
- Modelling alcohol problems: total recovery
- On a model for thermo-poroacoustic waves
- Second-order effects on the wave propagation in elastic, isotropic, incompressible, and homogeneous media
- Heat waves.
- Global behaviour of a heroin epidemic model with distributed delays
- Evolution equations and thermodynamic restrictions for dissipative solids
- Propagation of an acceleration wave in layers of isotropic solids at finite temperatures
- Acceleration waves in complex materials
- A note on heroin epidemics
- Weak shock waves in isotropic solids at finite temperatures up to the melting point
- Some remarks on nonlinear poroacoustic phenomena
- Thermoelasticity without energy dissipation
- Qualitative results for solutions of the steady Fisher-KPP equation.
- Stability and uniqueness in double porosity elasticity
- Travelling wave solutions for the spread of farmers into a region occupied by hunter-gatherers
- Acceleration waves analyzed by a new continuum model of solids incorporating microscopic thermal vibrations
- Global stability for a binge drinking model with two stages
- On frame-indifferent formulation of the Maxwell-Cattaneo model of finite-speed heat conduction
- On the modeling of crowd dynamics: looking at the beautiful shapes of swarms
- A note on poroacoustic traveling waves under Forchheimer's law
- Hyperbolic diffusion with Christov-Morro theory
- Gene-culture shock waves
- Growth and decay of shock and acceleration waves in a traffic flow model with relaxation
- On the acceleration waves in second-order elastic, isotropic, compressible, and homogeneous materials
- On the first-order speeds in any directions of acceleration waves in prestressed second-order isotropic, compressible, and homogeneous materials
- Mathematical models of innovation diffusion with stage structure
- MODELING BINGE DRINKING
- MODELING CROWD DYNAMICS FROM A COMPLEX SYSTEM VIEWPOINT
- A mathematical model of anorexia and bulimia
- Hyperbolicity, convexity and shock waves in one-dimensional crystalline solids
- COMPARTMENTAL MODELLING OF SOCIAL DYNAMICS WITH GENERALISED PEER INCIDENCE
- Growth and decay of acoustic acceleration waves in Darcy-type porous media
- Modeling weakly nonlinear acoustic wave propagation
- Stability and Wave Motion in Porous Media
- Growth, decay and bifurcation of shock amplitudes under the type-II flux law
- A hyperbolic reaction–diffusion model for the hantavirus infection
