共查询到20条相似文献,搜索用时 15 毫秒
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This paper deals with a class of strongly coupled and highly degenerate nonlinear parabolic systems, which arises from a model describing non-Fickian diffusion of penetrant into glassy polymers. By means of a fixed point argument and a priori estimates, we establish the global existence and uniqueness for the systems. 相似文献
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应用能量估计方法和Gagliardo-Nirenberg型不等式证明了一类强耦合反应扩散系统整体解的存在性和一致有界性,该系统是具有阶段结构的两种群Lotka-Volterra捕食者-食饵交错扩散模型的推广.通过构造Lyapunov函数给出了该系统正平衡点全局渐近稳定的充分条件. 相似文献
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In this paper, we prove the existence in H_ ~2, an incomplete metric subspace of H~2×H~2×H~2, of global solutions to the system for a one-dimensional non-monotone fluid in bounded domainΩ=(0,1). The results in this paper have improved those previously related results. 相似文献
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Global Existence in H^2 for a 1-d Non-monotone Fluid 总被引:3,自引:1,他引:2
In this paper, we prove the existence in H+^2, an incomplete metric subspace of H^2×H^2×H^2, of global solutions to the system for a one-dimensional non-monotone fluid in bounded domainΩ=(0,1). The results in this paper have improved those previously related results. 相似文献
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In this paper, we prove the global existence and asymptotic behavior, as time tends to infinity, of solutions in Hi (i=1, 2) to the initial boundary value problem of the compressible Navier–Stokes equations of one‐dimensional motion of a viscous heat‐conducting gas in a bounded region with a non‐autonomous external force and a heat source. Some new ideas and more delicate estimates are used to prove these results. Copyright © 2008 John Wiley & Sons, Ltd. 相似文献
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本文应用Sobolev嵌入定理,能量估计和bootstrap技巧证明一类捕食者-食饵-互惠交错扩散模型在空间维数小于10时古典解的整体存在性. 相似文献
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QIN Yu-ming MA Zhi-yong HUANG Lan 《数学季刊》2007,22(4):607-611
We consider a one-dimensional continuous model of nutron star,described by a compressible thermoviscoelastic system with a non-monotone equation of state,due to the effective Skyrme nuclear interaction between particles.We will prove that,despite a possible, destabilizing influence of the pressure,which is non-monotone and not always positive,the presence of viscosity and a sufficient thermal dissipation dcscribc the global existence of solutions in H~4 with a mixed free boundary problem for our model. 相似文献
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In this paper, we investigate the global existence of solutions to a hyperbolic-parabolic model of chemotaxis arising in the theory of reinforced random walks. To get -estimates of solutions, we construct a nonnegative convex entropy of the corresponding hyperbolic system. The higher energy estimates are obtained by the energy method and a priori assumptions.
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We consider a model problem of compressible viscous fluid dynamics in the two-dimensional case. We prove a global existence theorem. 相似文献
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研究生化反应中具有代表性的一类糖酵解模型.运用先验估计讨论非常数正平衡解的不存在性,得到非常数正平衡解存在的必要条件.在常数平衡解Turing不稳定的基础上,利用度理论方法和解的先验估计,进一步给出非常数正平衡解存在的充分条件. 相似文献
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Zhigui Lin 《偏微分方程(英文版)》1998,11(3):231-244
This paper deals with the global existence and blow-up of positive solutions to the systems: u_t = ∇(u^∇u) + u¹ + v^a v_t = ∇(v^n∇v) + u^b + v^k in B_R × (0, T) \frac{∂u}{∂η} = u^αv^p, \frac{∂v}{∂η} = u^qv^β on S_R × (0, T) u(x, 0) = u_0(x), v(x, 0} = v_0(x) in B_R We prove that there exists a global classical positive solution if and only if l ≤ l, k ≤ 1, m + α ≤ 1, n + β ≤ 1, pq ≤ (1 - m - α)(1 - n - β),ab ≤ 1, qa ≤ (1 - n - β) and pb ≤ (1 - m - α). 相似文献
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THE LOCAL AND GLOBAL EXISTENCE OF THE SOLUTIONS OF HYPERBOLIC-PARABOLIC SYSTEM MODELING BIOLOGICAL PHENOMENA 总被引:3,自引:0,他引:3
The authors prove the local existence and uniqueness of weak solution of a hyperbolic-parabolic system and establish the global existence of the weak solution for this system for the spatial dimension n = 1. 相似文献
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Asymptotic Behavior for Global Smooth Solution to a One-dimensional Nonlinear Thermoviscoelastic System 下载免费PDF全文
Yuming Qin 《偏微分方程(英文版)》1999,12(2):111-134
This paper is concerned with asymptotic behavior, as time tends to infinity, of globally defined smooth (large) solutions to the system in one-dimensional nonlinear thermoviscoelasticity. Our results show that the global smooth solution approaches to the solution in the H¹ norm to the corresponding stationary problem, as time tends to infinity. 相似文献
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利用对偶性技巧及Hoelder不等式,证明了一类耦合反应扩散系统解的整体存在性,推广了相关结果. 相似文献
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本文应用对时间的一致先验估计,证明了一类具有周期边值条件的长短波方程组的整体吸引子的存在性. 相似文献
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Global Existence of Smooth Solutions to Three Dimensional Hall-MHD System with Mixed Partial Viscosity 下载免费PDF全文
Yuzhu Wang 《偏微分方程(英文版)》2021,34(1):1-13
We investigate the global existence of smooth solutions to the three dimensional generalized Hall-MHD system with mixed partial viscosity in this work. The
diffusion of mixed partial viscosity is weaker than that of full viscosity, which cases
new difficulty in proving global smooth solutions. Moreover, Hall term heightens the
level of nonlinearity of the standard MHD system. Global smooth solutions are established by using energy method and the bootstrapping argument, provided that the
initial data is enough small. 相似文献