Results 21 to 30 of about 2,496,982 (281)

Weak solutions with unbounded variation [PDF]

Proceedings of the American Mathematical Society, 1973
To solve a quasilinear system of hyperbolic partial differential equations with given initial data, the usual procedure is to approximate the initial data, solve the resulting problems, and show that the variation of the approximating solutions is uniformly bounded. A limiting process then can be used.
openaire   +1 more source

Two-dimensional incompressible ideal flows in a noncylindrical material domain [PDF]

, 2007
The purpose of this work is to prove existence of a weak solution of the two dimensional incompressible Euler equations on a noncylindrical domain consisting of a smooth, bounded, connected and simply connected domain undergoing a prescribed motion.
Fernandes, Flavia Z., Filho, Milton C. Lopes   +1 more
core   +2 more sources

A Weak Solution of a Stochastic Nonlinear Problem

Abstract and Applied Analysis, 2015
We consider a problem modeling a porous medium with a random perturbation. This model occurs in many applications such as biology, medical sciences, oil exploitation, and chemical engineering.
M. L. Hadji
doaj   +1 more source

A semigroups theory approach to a model of suspension bridges

Electronic Journal of Qualitative Theory of Differential Equations, 2013
In this paper we study the existence and uniqueness of the weak solution of a mathematical model that describes the nonlinear oscillations of a suspension bridge. This model is given by a system of partial differential equations with damping terms.
Rodiak Figueroa-López, German Lozada-Cruz   +1 more
doaj   +1 more source

Regularity of H\"older continuous solutions of the supercritical quasi-geostrophic equation

, 2007
We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical ($\alpha< 1/2$) dissipation $(-\Delta)^\alpha$ : If a Leray-Hopf weak solution is H\"{o}lder continuous $\theta\in C^\delta({\mathbb R}^2)$ with ...
Caffarelli, Chae, Chae, Chen, Constantin, Constantin, Constantin, Constantin, Córdoba, Held, Jiahong Wu, Ju, Ju, Kiselev, Marchand, Pedlosky, Peter Constantin, Schonbek, Schonbek, Wu, Wu, Wu, Wu, Wu   +23 more
core   +1 more source

On Uniqueness and Continuous Dependence of the Weak Solutions of Neutral Stochastic Functional Differential Equations in Infinite Dimensional Spaces

Journal of Optimization, Differential Equations and Their Applications
In this paper we establish uniqueness of the weak solutions of nonlinear stochastic functional differential equations of neutral type in Hilbert spaces.
Z. P. Khaletska, M. N. Ospanov, Y. M. Perestyuk, O. A. Pravdyvyi   +3 more
doaj   +1 more source

Weak solutions for forward--backward SDEs--a martingale problem approach

, 2009
In this paper, we propose a new notion of Forward--Backward Martingale Problem (FBMP), and study its relationship with the weak solution to the forward--backward stochastic differential equations (FBSDEs).
Ma, Jin, Zhang, Jianfeng, Zheng, Ziyu
core   +1 more source

Weak-strong uniqueness of solutions to entropy-dissipating reaction-diffusion equations

, 2017
We establish a weak-strong uniqueness principle for solutions to entropy-dissipating reaction-diffusion equations: As long as a strong solution to the reaction-diffusion equation exists, any weak solution and even any renormalized solution must coincide ...
Alexandre, Alexandre, Bothe, Canizo, Caputo, Dal Maso, Desvillettes, Desvillettes, Desvillettes, Desvillettes, Desvillettes, DiPerna, DiPerna, DiPerna, Feinberg, Feireisl, Feireisl, Fiebach, Fischer, Gajewski, Gajewski, Glitzky, Goudon, Julian Fischer, Kräutle, Laamri, Liero, Liero, Mielke, Mielke, Mincheva, Murat, Pierre, Pierre, Pierre, Pierre, Schuster, Villani   +37 more
core   +1 more source

Convergence in $C(\lbrack0,T\rbrack;L^2(\Omega))$ of weak solutions to perturbed doubly degenerate parabolic equations

, 2016
We study the behaviour of solutions to a class of nonlinear degenerate parabolic problems when the data are perturbed. The class includes the Richards equation, Stefan problem and the parabolic $p$-Laplace equation.
Droniou, Jérôme, Eymard, Robert, Talbot, Kyle S.   +2 more
core   +2 more sources

Imaging of High‐Risk Neuroblastoma: Recommendations From SIOPEN Radiology and Nuclear Medicine Specialty Committees

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Neuroblastoma is the most common extracranial solid tumor in early childhood. Its clinical behavior is highly variable, ranging from spontaneous regression to fatal outcome despite intensive treatment. The International Society of Pediatric Oncology Europe Neuroblastoma Group (SIOPEN) Radiology and Nuclear Medicine Specialty Committees ...
Annemieke Littooij, Catia Olianti, Herve Brisse, Pier Luigi Di Paolo, Maria Garganese, Tejas Kapadia, Jurgen Schaefer, Hugh Wallace, Simon Wan, Bart de Keizer, Irmina Sefic Pasic, Julian Rogasch   +11 more
wiley   +1 more source