由浙江大学数学研究中心举办的2007年图像处理国际研讨会（International Workshop on Image Processing）于6月13～14日在浙江大学举办。本次研讨会邀请到了来自中国、美国、新加坡等8位国内外专家学者，并有来自浙江大学、香港科技大...由浙江大学数学研究中心举办的2007年图像处理国际研讨会（International Workshop on Image Processing）于6月13～14日在浙江大学举办。本次研讨会邀请到了来自中国、美国、新加坡等8位国内外专家学者，并有来自浙江大学、香港科技大学、东华大学等高校的众多研究生参加。展开更多
In this article, we study the global L^∞ entropy solutions for the Cauchy problem of system of isentropic gas dynamics in a divergent nozzle with a friction. Especially when the adiabatic exponent γ=3, we apply for ...In this article, we study the global L^∞ entropy solutions for the Cauchy problem of system of isentropic gas dynamics in a divergent nozzle with a friction. Especially when the adiabatic exponent γ=3, we apply for the maximum principle to obtain the L^∞ estimates w(ρ^δ,ε, u^δ,ε)≤ B(t) and z(ρ^δ,ε, u^δ,ε)≤ B(t) for the viscosity solutions (ρ^δ,ε, u^δ,ε), where B(t) is a nonnegative bounded function for any finite time t. This work, in the special case γ≥ 3, extends the previous works, which provided the global entropy solutions for the same Cauchy problem with the restriction w(ρ^δ,ε, u^δ,ε)≤ 0 or z(ρ^δ,ε, u^δ,ε)≤ 0.展开更多
文摘由浙江大学数学研究中心举办的2007年图像处理国际研讨会（International Workshop on Image Processing）于6月13～14日在浙江大学举办。本次研讨会邀请到了来自中国、美国、新加坡等8位国内外专家学者，并有来自浙江大学、香港科技大学、东华大学等高校的众多研究生参加。
基金supported by the Zhejiang Natural Science Foundation of China(LQ13A010022)supported by the Qianjiang professorship of Zhejiang Province of Chinathe National Natural Science Foundation of China(11271105)
文摘In this article, we study the global L^∞ entropy solutions for the Cauchy problem of system of isentropic gas dynamics in a divergent nozzle with a friction. Especially when the adiabatic exponent γ=3, we apply for the maximum principle to obtain the L^∞ estimates w(ρ^δ,ε, u^δ,ε)≤ B(t) and z(ρ^δ,ε, u^δ,ε)≤ B(t) for the viscosity solutions (ρ^δ,ε, u^δ,ε), where B(t) is a nonnegative bounded function for any finite time t. This work, in the special case γ≥ 3, extends the previous works, which provided the global entropy solutions for the same Cauchy problem with the restriction w(ρ^δ,ε, u^δ,ε)≤ 0 or z(ρ^δ,ε, u^δ,ε)≤ 0.
