Results 51 to 60 of about 327,801 (268)
The Global Existence Problem in General Relativity [PDF]
, 2004 We survey some known facts and open questions concerning the global properties of 3+1 dimensional spacetimes containing a compact Cauchy surface. We consider spacetimes with an $\ell$-dimensional Lie algebra of space-like Killing fields. For each $\ell \leq 3$, we give some basic results and conjectures on global existence and cosmic censorship.
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On the global existence of solutions to the Prandtl's system
Advances in Mathematics, 2004 This paper is concerned with the global existence of weak solutions to the initial boundary value problem involving a two-dimensional Prandtl's system, for unsteady boundary layer with initial data, and the pressure gradient satisfying certain conditions.
Xin, Zhouping, Zhang, Liqun
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Solid Pseudopapillary Neoplasm of the Pancreas in Children and Adolescents: Expert Recommendations
Pediatric Blood &Cancer, EarlyView.ABSTRACT Solid pseudopapillary neoplasm of the pancreas (SPN) is a rare low‐grade malignant exocrine pancreatic tumor, mostly discovered during the second decade of life in females, with a very good prognosis, provided microscopically complete surgical excision is achieved.
Sabine Irtan +18 more
wiley +1 more source
Blow-up of radially symmetric solutions of a non-local problem modelling Ohmic heating
Electronic Journal of Differential Equations, 2002 We consider a non-local initial boundary-value problem for the equation $$ u_t=Delta u+lambda f(u)/Big(int_{Omega}f(u),dxBig)^2 ,quad x in Omega subset mathbb{R}^2 ,,;t>0, $$ where $u$ represents a temperature and $f$ is a positive and decreasing ...
Dimitrios E. Tzanetis
doaj
On Global Well-Posedness and Temporal Decay for 3D Magnetic Induction Equations with Hall Effect
Mathematics, 2020 The main purpose of this paper is to study the global existence and uniqueness of solutions for three-dimensional incompressible magnetic induction equations with Hall effect provided that ∥u0∥H32+ε+∥b0∥H2 ...
Xiaopeng Zhao
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Neuroblastoma's complex, heterogeneous biology poses significant diagnostic and therapeutic challenges, often requiring caregivers to absorb complex information and participate in time‐sensitive decisions. However, caregivers often feel unprepared to evaluate options.
Vickie Buenger +8 more
wiley +1 more source
General decay for a nonlinear pseudo-parabolic equation with viscoelastic term
Demonstratio Mathematica, 2022 This work is concerned with a multi-dimensional viscoelastic pseudo-parabolic equation with critical Sobolev exponent. First, with some suitable conditions, we prove that the weak solution exists globally.
Vu Ngo Tran +2 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Neurotoxicity is a rare, often dose‐limiting adverse effect of methotrexate (MTX) therapy that disproportionally affects Latino children. Factors contributing to the observed disparity are not well understood. This study leveraged admixture mapping to identify genetic regions associated with MTX‐related neurotoxicity susceptibility ...
Rachel D. Harris +24 more
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Nonlinear heat equation with viscoelastic term: Global existence and blowup in finite time
Demonstratio MathematicaIn this study, we investigate a nonlinear heat equation incorporating both a viscoelastic term and a reaction-diffusion term that depends on space-time variables.
Vu Ngo Tran, Dung Dao Bao
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Germ cell tumors (GCTs) often arise in the ovaries and testes (extracranial) but can also develop in the brain (intracranial). We examined the relationship of individual, family, and community‐level socioeconomic status (SES) with stage of disease at diagnosis in a cohort of pediatric patients with GCT from Children's Oncology Group
Heydon K. Kaddas +7 more
wiley +1 more source