Results 31 to 40 of about 428,778 (188)
Weak solutions to problems involving inviscid fluids
, 2015 We consider an abstract functional-differential equation derived from the pressure-less Euler system with variable coefficients that includes several systems of partial differential equations arising in the fluid mechanics.
C Audiard +14 more
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A stochastic log-Laplace equation [PDF]
, 2003 We study a nonlinear stochastic partial differential equation whose solution is the conditional log-Laplace functional of a superprocess in a random environment. We establish its existence and uniqueness by smoothing out the nonlinear term and making use
Xiong, Jie
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Invited review: KPZ. Recent developments via a variational formulation [PDF]
, 2013 Recently, a variational approach has been introduced for the paradigmatic Kardar--Parisi--Zhang (KPZ) equation. Here we review that approach, together with the functional Taylor expansion that the KPZ nonequilibrium potential (NEP) admits. Such expansion
Deza, Roberto R. +3 more
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Beyond Poisson-Boltzmann: Numerical sampling of charge density fluctuations [PDF]
, 2016 We present a method aimed at sampling charge density fluctuations in Coulomb systems. The derivation follows from a functional integral representation of the partition function in terms of charge density fluctuations.
Delarue, Marc +2 more
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On Complex Singularity Analysis for Some Linear Partial Differential Equations in
Abstract and Applied Analysis, 2013 We investigate the existence of local holomorphic solutions Y of linear partial differential equations in three complex variables whose coefficients are holomorphic on some polydisc in outside some singular set .
A. Lastra, S. Malek, C. Stenger
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, 2015 We prove a version of the stochastic maximum principle, in the sense of Pontryagin, for the finite horizon optimal control of a stochastic partial differential equation driven by an infinite dimensional additive noise.
Fuhrman, Marco, Orrieri, Carlo
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Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, we investigate the existence of weak quasi-periodic solutions for the second order Hamiltonian system with damped term: \begin{equation} \ddot{u}(t)+q(t)\dot{u}(t)+D W(u(t))=0, \qquad t\in \mathbb R,\tag{HSD} \end{equation} where
Xingyong Zhang, Liben Wang
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On the Partial Equiasymptotic Stability in Functional Differential Equations
Journal of Mathematical Analysis and Applications, 2002 A system of functional-differential equations with delay \(dz/dt=Z(t,z_t)\), where \(Z\) is a vector-valued functional, is considered. It is supposed that this system has a zero solution \(z=0\). Definitions of its partial stability, partial asymptotical stability and partial equiasymptotical stability are given.
openaire +2 more sources
Solutions for Functional Fully Coupled Forward-Backward Stochastic Differential Equations [PDF]
, 2013 In this paper, we study a functional fully coupled forward-backward stochastic differential equations (FBSDEs). Under a new type of integral Lipschitz and monotonicity conditions, the existence and uniqueness of solutions for functional fully coupled ...
Ji, Shaolin, Yang, Shuzhen
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, 2006 This paper considers the optimisation of a nonlinear functional for image segmentation and noise reduction. Equations optimising this functional are derived and employed to detect edges using geometrical intrinsic properties such as metric and Riemann ...
Mahmoodi, Sasan, Sharif, Bayan
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