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Global solutions for an extended macroscopic model for traffic flow

Advanced Nonlinear Studies
In this short paper, we are concerned with a nonlinear hyperbolic conservation system of three equations, which is an extended macroscopic model for traffic flow.
Chen Jianjun +4 more
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Global existence and blow-up for a mixed local and nonlocal parabolic equation with logarithmic nonlinearity

Advances in Nonlinear Analysis
This paper is devoted to dealing with the global existence and blow-up property for a mixed local and nonlocal parabolic equation with logarithmic nonlinear source and different initial energy levels.
Liu Dengming, Li Na
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Infinitely many solutions for Hamiltonian system with critical growth

Advances in Nonlinear Analysis
In this article, we consider the following elliptic system of Hamiltonian-type on a bounded domain:−Δu=K1(∣y∣)∣v∣p−1v,inB1(0),−Δv=K2(∣y∣)∣u∣q−1u,inB1(0),u=v=0on∂B1(0),\left\{\begin{array}{ll}-\Delta u={K}_{1}\left(| y| ){| v| }^{p-1}v,\hspace{1.0em ...
Guo Yuxia, Hu Yichen
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On a generalized Stokes problem

Open Mathematics, 2011
Mácha Václav
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A linear condition determining local or global existence for nonlinear problems