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2018 Volume 3, Issue 1

Research article
Osgood type blow-up criterion for the 3D Boussinesq equations with partial viscosity
Zhaoyang Shang
2018, Volume 3, Issue 1: 1-11. doi: 10.3934/Math.2018.1.1
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Research article
Results on spirallike p-valent functions
Nazar Khan,  Qazi Zahoor Ahmad,  Tooba Khalid,  Bilal Khan
2018, Volume 3, Issue 1: 12-20. doi: 10.3934/Math.2018.1.12
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Research article
Lp-analysis of one-dimensional repulsive Hamiltonian with a class of perturbations
Motohiro Sobajima,  Kentarou Yoshii
2018, Volume 3, Issue 1: 21-34. doi: 10.3934/Math.2018.1.21
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Research article
Asymptotic stability of degenerate stationary solution to a system of viscousconservation laws in half line
Tohru Nakamura
2018, Volume 3, Issue 1: 35-43. doi: 10.3934/Math.2018.1.35
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Mini review
A survey of critical structures in competitive games
Amir Hossein Rashme,  Zahra Farhad Touski,  Madjid Eshaghi
2018, Volume 3, Issue 1: 44-55. doi: 10.3934/Math.2018.1.44
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Research article
Large time behavior of a bipolar hydrodynamic model with large data andvacuum
Yunlei Zhan
2018, Volume 3, Issue 1: 56-65. doi: 10.3934/Math.2018.1.56
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Research article
Symmetric interior penalty Galerkin method for fractional-in-space phase-field equations
Martin Stoll,  Hamdullah Yücel
2018, Volume 3, Issue 1: 66-95. doi: 10.3934/Math.2018.1.66
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Research article
Minimization solutions to conservation laws with non-smooth and non-strictly convex flux
Carey Caginalp
2018, Volume 3, Issue 1: 96-130. doi: 10.3934/Math.2018.1.96
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Research article
The Minkowski’s inequality by means of a generalized fractional integral
J. Vanterler da C. Sousa,  E. Capelas de Oliveira
2018, Volume 3, Issue 1: 131-147. doi: 10.3934/Math.2018.1.131
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Research article
A minimization approach to conservation laws with random initialconditions and non-smooth, non-strictly convex flux
Carey Caginalp
2018, Volume 3, Issue 1: 148-182. doi: 10.3934/Math.2018.1.148
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Research article
An effective homotopy analysis method to solve the cubic isothermal auto-catalytic chemical system
K. M. Saad,  O. S. Iyiola,  P. Agarwal
2018, Volume 3, Issue 1: 183-194. doi: 10.3934/Math.2018.1.183
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Research article
Numerical investigation of ferrofluid convection with Kelvin forces and non-Darcy effects
Bengisen Pekmen Geridönmez
2018, Volume 3, Issue 1: 195-210. doi: 10.3934/Math.2018.1.195
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Review
When is the algorithm concept pertinent – and when not? Thoughts about algorithms and paradigmatic examples, and about algorithmic and non-algorithmic mathematical cultures1
Jens Høyrup
2018, Volume 3, Issue 1: 211-232. doi: 10.3934/Math.2018.1.211
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Research article
Multiple finite-energy positive weak solutions to singular elliptic problems with a parameter
Tomas Godoy,  Alfredo Guerin
2018, Volume 3, Issue 1: 233-252. doi: 10.3934/Math.2018.1.233
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Research article
A SOR-like AVM for the maximal correlation problem
Jun He
2018, Volume 3, Issue 1: 253-262. doi: 10.3934/Math.2018.1.253
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