Results 61 to 70 of about 9,026,361 (324)
Global existence for a degenerate haptotaxis model of cancer invasion [PDF]
, 2015 We propose and study a strongly coupled PDE–ODE system with tissue-dependent degenerate diffusion and haptotaxis that can serve as a model prototype for cancer cell invasion through the extracellular matrix.
A. Zhigun, C. Surulescu, Aydar Uatay
semanticscholar +1 more source
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
openaire +3 more sources
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Nurses are central to cancer care for children and adolescents, yet no comprehensive synthesis has defined essential core competencies for pediatric oncology nursing (PON) practice internationally, particularly in Latin America and the Caribbean (LAC).
Luís Carlos Lopes‐Júnior +7 more
wiley +1 more source
The critical case for a semilinear weakly hyperbolic equation
Electronic Journal of Differential Equations, 2004 We prove a global existence result for the Cauchy problem, in the three-dimensional space, associated with the equation $$ u_{tt}-a_lambda(t) Delta_x u=-u|u|^{p(lambda)-1} $$ where $a_lambda(t)ge 0$ and behaves as $(t-t_0)^lambda$ close to some $t_0 ...
Luca Fanelli, Sandra Lucente
doaj
The Second Critical Exponent for a Time-Fractional Reaction-Diffusion Equation
MathematicsIn this paper, we consider the Cauchy problem of a time-fractional nonlinear diffusion equation. According to Kaplan’s first eigenvalue method, we first prove the blow-up of the solutions in finite time under some sufficient conditions.
Takefumi Igarashi
doaj +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
Global Existence for the Confined Muskat Problem [PDF]
SIAM Journal on Mathematical Analysis, 2014 29 pages, 1 ...
openaire +4 more sources
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Families of children with cancer experience significant financial strain, even with universal healthcare. Indirect costs, such as productivity losses and non‐medical expenses, are rarely included in economic evaluations, and little is known about how effectively financial aid programmes alleviate this burden. Childhood brain tumours
Megumi Lim +8 more
wiley +1 more source
Open MathematicsWe investigate the two-species chemotaxis predator-prey system given by the following system: ut=Δu−χ∇⋅(u∇w)+u(λ1−μ1ur1−1+av),x∈Ω,t>0,vt=Δv+ξ∇⋅(v∇z)+v(λ2−μ2vr2−1−bu),x∈Ω,t>0,0=Δw−w+v,x∈Ω,t>0,0=Δz−z+u,x∈Ω,t>0,\left\{\begin{array}{ll}{u}_{t}=\Delta u-\chi \
Liu Ling
doaj +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background The management of clinically apparent single lesions or oligofocal nephroblastomatosis, a facultative precursor of nephroblastoma, remains debated. Methods We retrospectively analyzed 37 patients with clinically apparent single or oligofocal nephroblastomatosis (two to three lesions per kidney) among 2347 patients registered between
Nils Welter +17 more
wiley +1 more source