Results 101 to 110 of about 394,604 (313)
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 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
Stability of solutions of infinite systems of nonlinear differential-functional equations of parabolic type [PDF]
Opuscula Mathematica, 2006 A parabolic initial boundary value problem and an associated elliptic Dirichlet problem for an infinite weakly coupled system of semilinear differential-functional equations are considered.
Tomasz S. Zabawa
doaj
Locating the peaks of semilinear elliptic systems
, 2005 We consider a system of weakly coupled singularly perturbed semilinear elliptic equations. First, we obtain a Lipschitz regularity result for the associated ground energy function $\Sigma$ as well as representation formulas for the left and the right ...
Pomponio, Alessio, Squassina, Marco
core +1 more source
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
On least Energy Solutions to A Semilinear Elliptic Equation in A Strip
, 2010 We consider the following semilinear elliptic equation on a strip: \[ \left\{{array}{l} \Delta u-u + u^p=0 \ {in} \ \R^{N-1} \times (0, L), u>0, \frac{\partial u}{\partial \nu}=0 \ {on} \ \partial (\R^{N-1} \times (0, L)) {array} \right.\] where $ 1< p ...
Berestycki, Henri, Wei, Juncheng
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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
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
On a uniform estimate for positive solutions of semilinear elliptic equations [PDF]
, 2012 We consider semilinear elliptic equations with Dirichlet boundary conditions in a Lipschitz, possibly unbounded, domain. Under suitable assumptions on the nonlinearity, we deduce a condition on the size of the domain that implies the existence of a ...
Sourdis, Christos
core
Zero Sets of Solutions to Semilinear Elliptic Systems of First Order
, 1998 Consider a nontrivial solution to a semilinear elliptic system of first order with smooth coefficients defined over an $n$-dimensional manifold. Assume the operator has the strong unique continuation property. We show that the zero set of the solution is
Baer, Christian
core +2 more sources