Global existence, blow up and asymptotic decay for some hyperbolic systems

In the previous section, the existence of traveling wave solutions of system (16) in the form of short enough cell density plateaus has been proven.. In the following,

We prove Ole˘ınik-type decay estimates for entropy solutions of n × n strictly hyperbolic systems of balance laws built out of a wave-front tracking procedure inside which the

By establishing some new estimates on the solutions of linear wave equations in two space variables, we give a lower bound of the life-span of classical solutions to the

This result is proved in an abstract setting for coupled second order evolution equations and is then applied to internal and boundary damping for wave and for plate systems.. In

Recently, Bezandry and Diagana [3, 4] proved that some stochastic differential equations with almost pe- riodic coefficients admit solutions which satisfy the strong property

In [1010, 10] global solutions in the context of stochastic partial differential equations defined by Young-like integrals are proved to exist for fairly general vector fields

This dispersion was proved in the case of rotating fluids ([12], [29]) or in the case of primitive equations ([9]) in the form of Strichartz type estimates, which allows to prove

This result is proved in an abstract setting for coupled second order evolution equations and is then applied to internal and boundary damping for wave and for plate systems.. In