Results 101 to 110 of about 8,296,108 (395)
A stepwise emergence of evolution in the RNA world
FEBS Letters, EarlyView.How did biological evolution emerge from chemical reactions? This perspective proposes a gradual scenario of self‐organization among RNA molecules, where catalytic feedback on random mixtures plays the central role. Short oligomers cross‐ligate, and self‐assembly enables heritable variations. An event of template‐externalization marks the transition to
Philippe Nghe
wiley +1 more source
Blow-up for p-Laplacian parabolic equations
Electronic Journal of Differential Equations, 2003 In this article we give a complete picture of the blow-up criteria for weak solutions of the Dirichlet problem $$ u_t= abla(| abla u|^{p-2} abla u)+lambda |u|^{q-2}u,quad hbox{in } Omega_T, $$ where $p>1$.
Yuxiang Li, Chunhong Xie
doaj
Global Existence and Global Attractors of Cross Diffusion Systems on Planar Domains [PDF]
arXiv, 2016 Global existence of strong solutions and the existence of global and atrractors are established for generalized Shigesada-Kawasaki-Teramoto models on planar domains. The cross diffusion and reaction can have polynomial growth of any order.
arxiv
Existence of Global Weak Solutions for Some Polymeric Flow Models [PDF]
, 2004 We study the existence of global-in-time weak solutions to a coupled microscopic-macroscopic bead-spring model which arises from the kinetic theory of diluted solutions of polymeric liquids with noninteracting polymer chains.
Barrett, John W. +2 more
core
Existence of Compactly Supported Global Minimisers for the Interaction Energy
, 2015 The existence of compactly supported global minimisers for continuum models of particles interacting through a potential is shown under almost optimal hypotheses.
Carrillo, J. A. +2 more
core +1 more source
Global existence of weak solutions to the three-dimensional Prandtl equations with A special structure [PDF]
, 2015 The global existence of weak solutions to the three space dimensional Prandtl equations is studied under some constraint on its structure. This is a continuation of our recent study on the local existence of classical solutions with the same structure ...
Cheng-Jie Liu, Ya-Guang Wang, Tong Yang
semanticscholar +1 more source
Molecular Oncology, EarlyView.Urine is a rich source of biomarkers for cancer detection. Tumor‐derived material is released into the bloodstream and transported to the urine. Urine can easily be collected from individuals, allowing non‐invasive cancer detection. This review discusses the rationale behind urine‐based cancer detection and its potential for cancer diagnostics ...
Birgit M. M. Wever +1 more
wiley +1 more source
Non-existence of Global Transverse Poincaré Sections [PDF]
arXiv, 2019 We study global transverse Poincar\'{e} sections and give topological conditions for their existence, showing they never exist in many important cases. We prove that an energy hypersurface possessing global transverse Poincar\'{e} section is equivalent to the hypersuface having a cosymplectic structure.
arxiv
Global existence results for nonlinear Schrodinger equations with quadratic potentials [PDF]
, 2004 We prove that no finite time blow up can occur for nonlinear Schroedinger equations with quadratic potentials, provided that the potential has a sufficiently strong repulsive component.
Umr Cnrs, Universite ́ Bordeaux
core +3 more sources
Coercivity and stability results for an extended Navier-Stokes system
, 2012 In this article we study a system of equations that is known to {\em extend} Navier-Stokes dynamics in a well-posed manner to velocity fields that are not necessarily divergence-free. Our aim is to contribute to an understanding of the role of divergence
Abels H. +11 more
core +2 more sources