Results 51 to 60 of about 2,437,712 (232)
ON THE GLOBAL EXISTENCE OF TIME [PDF]
International Journal of Modern Physics D, 2009 The global existence of time is often taken for granted but should instead be considered for investigation. Using the tools of global Lorentzian geometry the author shows that, under physically reasonable conditions, the impossibility of finding a global time implies the singularity of space–time.
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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
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background The Improving Population Outcomes for Renal Tumours of childhood (IMPORT) is a prospective clinical observational study capturing detailed demographic and outcome data on children and young people diagnosed with renal tumours in the United Kingdom and the Republic of Ireland.
Naomi Ssenyonga +56 more
wiley +1 more source
Decay estimate and non-extinction of solutions of p-Laplacian nonlocal heat equations
AIMS Mathematics, 2020 The main goal of this work is to study the initial boundary value problem of a nonlocal heat equations with logarithmic nonlinearity in a bounded domain. By using the logarithmic Sobolev inequality and potential wells method, we obtain the decay, blow-up
Sarra Toualbia +2 more
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Global boundedness of a higher-dimensional chemotaxis system on alopecia areata
Mathematical Biosciences and Engineering, 2023 This paper mainly focuses on the dynamics behavior of a three-component chemotaxis system on alopecia areata $ \begin{equation*} \left\{ \begin{array}{lll} u_t = \Delta{u}-\chi_1\nabla\cdot(u\nabla{w})+w-\mu_1u^2, &x\in\Omega, t>0, \\ v_t ...
Wenjie Zhang, Lu Xu, Qiao Xin
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Global Existence for Nonlinear Diffusion Equations
Journal of Mathematical Analysis and Applications, 1995 The Dirichlet problem for degenerate reaction-diffusion-convection equations in space-dimension one is considered. Global existence of nonnegative solutions is studied. The role of convection in yielding global existence is analyzed in the special case when none of the three nonlinearities depends explicitly on \(x\) and \(t\).
Anderson, J.R., Deng, K.
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Global existence of nonlinear elastic waves [PDF]
Inventiones Mathematicae, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A global existence result for a Keller-Segel type system with supercritical initial data
, 2015 We consider a parabolic-elliptic Keller-Segel type system, which is related to a simplified model of chemotaxis. Concerning the maximal range of existence of solutions, there are essentially two kinds of results: either global existence in time for ...
Bartolucci, Daniele, Castorina, Daniele
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Қарағанды университетінің хабаршысы. Математика сериясыIn this paper, the problem of a doubly nonlinear degenerate parabolic system with nonlinear sources and absorption terms not located in a homogeneous medium was considered. It obeys zero Dirichlet boundary conditions in a smooth bounded domain.
M.M. Aripov +2 more
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Existence of global strings coupled to gravity [PDF]
Physical Review D, 1989 We consider σ-model strings and U(1) global strings coupled to gravity and look for static solutions with whole cylinder symmetry. We prove that in both cases there are no regular spatially compact solutions. The U(1) global string admits no asymptotically well-behaved solutions, whereas cr model strings can be constructed under certain assumptions ...
Ruiz Ruiz, Fernando +2 more
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