Results 31 to 40 of about 298 (54)
Generalized solutions of the Vlasov-Poisson system with singular data [PDF]
, 2006 We study spherically symmetric solutions of the Vlasov-Poisson system in the context of algebras of generalized functions. This allows to model highly concentrated initial configurations and provides a consistent setting for studying singular limits of ...
Kmit, Irina +2 more
core +5 more sources
A parabolic differential equation with unbounded piecewise constant delay
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 2, Page 339-346, 1992., 1991 A partial differential equation with the argument [λt] is studied, where [•] denotes the greatest integer function. The infinite delay t − [λt] leads to difference equations of unbounded order.
Joseph Wiener, Lokenath Debnath
wiley +1 more source
Incompressible limit for the compressible viscoelastic fluids in critical space
Advances in Nonlinear AnalysisIn this article, we consider the incompressible limit of global-in-time strong solutions with arbitrary large initial velocity for the compressible viscoelastic fluids in the sense of critical Besov framework. We decouple our compressible system into two
Han Bin, Wu Dan
doaj +1 more source
Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations [PDF]
, 2008 In this article, we provide existence results for a general class of nonlocal and nonlinear second-order parabolic equations. The main motivation comes from front propagation theory in the cases when the normal velocity depends on the moving front in a ...
Alvarez +20 more
core +4 more sources
An existence theorem for differential inclusions on Banach space
International Journal of Stochastic Analysis, Volume 5, Issue 2, Page 123-129, 1992., 1991 In this paper we consider the question of existence of solutions for a large class of nonlinear differential inclusions on Banach space arising from control theory.
N. U. Ahmed
wiley +1 more source
Alexandria Engineering Journal, 2020 In this paper, an extension is paid to an idea of fractal and fractional derivatives which has been applied to a number of ordinary differential equations to model a system of partial differential equations.
Kolade M. Owolabi +2 more
doaj
, 2008 In this paper, we establish the global well-posedness of the Cauchy problem for the Gross-Pitaevskii equation with an angular momentum rotational term in which the angular velocity is equal to the isotropic trapping frequency in the space $\Real^3 ...
Chengchun Hao +4 more
core +1 more source
Uniqueness Results for Nonlocal Hamilton-Jacobi Equations [PDF]
, 2008 We are interested in nonlocal Eikonal Equations describing the evolution of interfaces moving with a nonlocal, non monotone velocity. For these equations, only the existence of global-in-time weak solutions is available in some particular cases.
Alvarez +23 more
core +6 more sources
Boundary value problems for partial differential equations with piecewise contant delay
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 2, Page 363-379, 1991., 1991 The influence of certain discontinuous delays on the behavior of solutions to some typical equations of mathematical physics is studied.
Joseph Wiener
wiley +1 more source
Partial differential equations with piecewise constant delay
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 485-496, 1991., 1990 The influence of certain discontinuous delays on the behavior of solutions to partial differential equations is studied. In Section 2, the initial value problems (IVP) are discussed for differential equations with piecewise constant argument (EPCA) in partial derivatives.
Joseph Wiener, Lokenath Debnath
wiley +1 more source