Communications on Pure and Applied Analysis: latest papers http://www.aimsciences.org/test_aims/journals/rss.jsp?journalID=3 Latest articles for selected journal http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14774 Beltrami equations in the plane and Sobolev regularity http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14774 Martí Prats Thu, 1 Mar 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14775 Biharmonic systems involving multiple Rellich--type potentials and critical Rellich--Sobolev nonlinearities http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14775 Dongsheng Kang and Liangshun Xu Thu, 1 Mar 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14776 Global existence and decay estimate of classical solutions to the compressible viscoelastic flows with self-gravitating http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14776 Yinxia Wang and Hengjun Zhao Thu, 1 Mar 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14777 Pattern formation of a diffusive eco-epidemiological model with predator-prey interaction http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14777 Wonlyul Ko and Inkyung Ahn Thu, 1 Mar 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14778 The asymptotic limits of solutions to the Riemann problem for the scaled Leroux system http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14778 Chun Shen, Wancheng Sheng and Meina Sun Thu, 1 Mar 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14779 The regularity of some vector-valued variational inequalities with gradient constraints http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14779 Mohammad Safdari Thu, 1 Mar 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14780 Stability and convergence of an hybrid finite volume-finite element method for a multiphasic incompressible fluid model http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14780 Caterina Calgaro, Meriem Ezzoug and Ezzeddine Zahrouni Thu, 1 Mar 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14781 On the effect of higher order derivatives of initial data on the blow-up set for a semilinear heat equation http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14781 0, \\ u(x,t)=0, &x\in\partial\Omega, \,\,\, t>0, \\ u(x,0)=u_0(x)\ge 0, &x\in \Omega, \end{array} \right. \end{equation} where $\partial_t=\partial/\partial t$, $p>1$, $N\ge 1$, $\Omega\subset {\bf R}^N$, $u_0$ is a bounded continuous function in $\overline{\Omega}$. For the case $u_0(x)=\lambda\varphi(x)$ for some function $\varphi$ and a sufficiently large $\lambda>0$, it is known that the solution blows up only near the maximum points of $\varphi$ under suitable assumptions. Furthermore, if $\varphi$ has several maximum points, then the blow-up set for (P) is characterized by $\Delta\varphi$ at its maximum points. However, for initial data $u_0(x)=\lambda\varphi(x)$, it seems difficult to obtain further information on the blow-up set such that effect of higher order derivatives of initial data. In this paper, we consider another type large initial data $u_0(x)=\lambda+\varphi(x)$ and study the relationship between the blow-up set for (P) and higher order derivatives of initial data. ]]> Yohei Fujishima Thu, 1 Mar 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14782 Nonexistence of nonconstant positive steady states of a diffusive predator-prey model http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14782 Shanshan Chen Thu, 1 Mar 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14783 Sharp well-posedness of the Cauchy problem for the fourth order nonlinear Schrödinger equation http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14783 Yuanyuan Ren, Yongsheng Li and Wei Yan Thu, 1 Mar 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14784 The global well-posedness of the kinetic Cucker-Smale flocking model with chemotactic movements http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14784 Chiun-Chuan Chen, Seung-Yeal Ha and Xiongtao Zhang Thu, 1 Mar 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14786 Subsonic irrotational inviscid flow around certain bodies with two protruding corners http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14786
Thus even with zero viscosity and slip boundary conditions solids can generate vorticity, in the sense of having at least one rotational but no irrotational solutions. Our observation complements the commonly accepted explanation of vorticity generation based on Prandtl's theory of viscous boundary layers. ]]>
Volker Elling Thu, 1 Mar 2018 20:00:00 GMT
http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14787 On the existence and computation of periodic travelling waves for a 2D water wave model http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14787 1$, the result is a direct consequence of the Lyapunov Center Theorem since the nonlinear system can be rewritten as a $4\times 4$ system with a special Hamiltonian structure. In the case $|c|>1$, we also compute numerical approximations of these travelling waves by using a Fourier spectral discretization of the corresponding 1D travelling wave equations and a Newton-type iteration. ]]> José Raúl Quintero and Juan Carlos Muñoz Grajales Thu, 1 Mar 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14785 On the nonlinear convection-diffusion-reaction problem in a thin domain with a weak boundary absorption http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14785 Igor Pažanin and Marcone C. Pereira Thu, 1 Mar 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14788 Global existence for a coupled wave system related to the Strauss conjecture http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14788 Jason Metcalfe and David Spencer Thu, 1 Mar 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14789 Positive solutions for Kirchhoff-Schrödinger-Poisson systems with general nonlinearity http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14789 0,b\geq0$ are constants and $\mu>0$ is a parameter, $f\in C(\mathbb{R},\mathbb{R})$. Without assuming the Ambrosetti-Rabinowitz type condition and monotonicity condition on $f$, we establish the existence of positive radial solutions for the above system by using variational methods combining a monotonicity approach with a delicate cut-off technique. We also study the asymptotic behavior of solutions with respect to the parameter $\mu$. In addition, we obtain the existence of multiple solutions for the nonhomogeneous case corresponding to the above problem. Our results improve and generalize some known results in the literature. ]]> Dengfeng Lü Thu, 1 Mar 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14790 A decomposition for the Schrödinger equation with applications to bilinear and multilinear estimates http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14790 Felipe Hernandez Thu, 1 Mar 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14791 Approximation of a nonlinear fractal energy functional on varying Hilbert spaces http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14791 Simone Creo, Maria Rosaria Lancia, Alejandro Vélez-Santiago and Paola Vernole Thu, 1 Mar 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14792 Convergent approximation of non-continuous surfaces of prescribed Gaussian curvature http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14792 Brittany Froese Hamfeldt Thu, 1 Mar 2018 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14793 On the nonlocal curvatures of surfaces with or without boundary http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14793 Roberto Paroni, Paolo Podio-Guidugli and Brian Seguin Thu, 1 Mar 2018 20:00:00 GMT