The global dynamics of isothermal chemical systems with critical nonlinearity
نویسندگان
چکیده
منابع مشابه
The Global Dynamics of Isothermal Chemical Systems with Critical Nonlinearity
In this paper, we study the Cauchy problem of a cubic autocatalytic chemical reaction system u1,t = u1,xx − u1u β 2 , u2,t = du2,xx + u α 1u β 2 with non-negative initial data, where the exponents α, β satisfy 1 < α, β < 2, α+ β = 3 and the constant d > 0 is the Lewis number. Our purpose is to study the global dynamics of solutions under mild decay of initial data as |x| → ∞. We show the exact ...
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Symmetries and global solvability of the isothermal gas dynamics equations
We study the Cauchy problem associated with the system of two conservation laws arising in isothermal gas dynamics, in which the pressure and the density are related by the γ-law equation p(ρ) ∼ ρ with γ = 1. Our results complete those obtained earlier for γ > 1. We prove the global existence and compactness of entropy solutions generated by the vanishing viscosity method. The proof relies on c...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2003
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/16/3/315