Results 81 to 90 of about 376,175 (295)
Leapfrogging vortex rings for the three‐dimensional incompressible Euler equations
Communications on Pure and Applied Mathematics, Volume 77, Issue 10, Page 3843-3957, October 2024.Abstract A classical problem in fluid dynamics concerns the interaction of multiple vortex rings sharing a common axis of symmetry in an incompressible, inviscid three‐dimensional fluid. In 1858, Helmholtz observed that a pair of similar thin, coaxial vortex rings may pass through each other repeatedly due to the induced flow of the rings acting on ...
Juan Dávila +3 more
wiley +1 more source
Radial solutions to semilinear elliptic equations via linearized operators
Electronic Journal of Qualitative Theory of Differential Equations, 2017 Let $u$ be a classical solution of semilinear elliptic equations in a ball or an annulus in $\mathbb{R}^N$ with zero Dirichlet boundary condition where the nonlinearity has a convex first derivative.
Phuong Le
doaj +1 more source
A remark on the uniqueness of positive solutions to semilinear elliptic equations with double power nonlinearities [PDF]
arXiv, 2008 We consider the uniqueness of positive solutions to semilinear elliptic equations with double power nonlinearities. We deduce the uniqueness from the argument in the classical paper by Peletier and Serrin, thereby recovering a part of the uniqueness result of Ouyang and Shi.
arxiv
KPP fronts in shear flows with cutoff reaction rates
Studies in Applied Mathematics, Volume 153, Issue 3, October 2024.Abstract We consider the effect of a shear flow which has, without loss of generality, a zero mean flow rate, on a Kolmogorov–Petrovskii–Piscounov (KPP)‐type model in the presence of a discontinuous cutoff at concentration u=uc$u = u_c$. In the long‐time limit, a permanent‐form traveling wave solution is established which, for fixed uc>0$u_c>0$, is ...
D. J. Needham, A. Tzella
wiley +1 more source
Uniqueness of positive solutions to semilinear elliptic equations with double power nonlinearities [PDF]
arXiv, 2008 We consider semilinear elliptic equations with double power nonlineaities. The condition to assure the existence of positive solutions is well-known. In the present paper, we remark that the additional condition to assure uniqueness proposed by Ouyang and Shi is unnecessary.
arxiv
Entire large solutions for semilinear elliptic equations
Journal of Differential Equations, 2012 Journal of Differential Equations 2012, 28 ...
Dupaigne, L. +3 more
openaire +4 more sources
Picard sheaves, local Brauer groups, and topological modular forms
Journal of Topology, Volume 17, Issue 2, June 2024.Abstract We develop tools to analyze and compare the Brauer groups of spectra such as periodic complex and real K$K$‐theory and topological modular forms, as well as the derived moduli stack of elliptic curves. In particular, we prove that the Brauer group of TMF$\mathrm{TMF}$ is isomorphic to the Brauer group of the derived moduli stack of elliptic ...
Benjamin Antieau +2 more
wiley +1 more source
Advanced Nonlinear Studies, 2023 In our previous paper [K. Ishige, S. Okabe, and T. Sato, A supercritical scalar field equation with a forcing term, J. Math. Pures Appl. 128 (2019), pp.
Ishige Kazuhiro +2 more
doaj +1 more source
Existence and uniqueness for a coupled parabolic‐hyperbolic model of MEMS
Mathematical Methods in the Applied Sciences, Volume 47, Issue 7, Page 6310-6353, 15 May 2024.Local wellposedness for a nonlinear parabolic‐hyperbolic coupled system modeling Micro‐Electro‐Mechanical System (MEMS) is studied. The particular device considered is a simple capacitor with two closely separated plates, one of which has motion modeled by a semilinear hyperbolic equation.
Heiko Gimperlein +2 more
wiley +1 more source
Uniqueness of positive solutions for cooperative Hamiltonian elliptic systems
Electronic Journal of Differential Equations, 2016 The uniqueness of positive solution of a semilinear cooperative Hamiltonian elliptic system with two equations is proved for the case of sublinear and superlinear nonlinearities. Implicit function theorem, bifurcation theory, and ordinary differential
Junping Shi, Ratnasingham Shivaji
doaj