Advection-diffusion equations with random coefficients on evolving hypersurfaces [PDF]
, 2017 We present the analysis of advection-diffusion equations with random coefficients on moving hypersurfaces. We define weak and strong material derivative, that take into account also the spacial movement.
Djurdjevac, A.
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A new stability results for the backward heat equation
, 2009 In this paper, we regularize the nonlinear inverse time heat problem in the unbounded region by Fourier method. Some new convergence rates are obtained.
Dinh, Alain Pham Ngoc +3 more
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Recovering the initial distribution for strongly damped wave equation [PDF]
, 2017 We study for the first time the inverse backward problem for the strongly damped wave equation. First, we show that the problem is severely ill-posed in the sense of Hadamard.
Au, VV, Lesnic, D, Nguyen, DV, Tuan, NH
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Exact Traveling Wave Solutions of Nonlinear PDEs in Mathematical Physics Using the Modified Simple Equation Method [PDF]
, 2013 In this article, we apply the modified simple equation method to find the exact solutions with parameters of the (1+1)-dimensional nonlinear Burgers-Huxley equation, the (2+1) dimensional cubic nonlinear Klein-Gordon equation and the (2+1)-dimensional ...
Arnous, A. H., E. Zayed, E. M.
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An improved stability result for a heat equation backward in time with nonlinear source [PDF]
, 2012 We consider a nonlinear backward heat conduction problem in a strip. The problem is ill-posed in the sense that the solution (if it exists) does not depend continuously on the data.
Nguyen Huy Tuan, Pham Hoang Quan
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The two-scale approach to hydrodynamic limits for non-reversible dynamics
, 2015 In a recent paper by Grunewald et.al., a new method to study hydrodynamic limits was developed for reversible dynamics. In this work, we generalize this method to a family of non-reversible dynamics.
Duong, Manh Hong, Fathi, Max
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Harnack's Inequality for Parabolic De Giorgi Classes in Metric Spaces
, 2012 In this paper we study problems related to parabolic partial differential equations in metric measure spaces equipped with a doubling measure and supporting a Poincare' inequality.
Kinnunen, J. +3 more
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Collocation method based on modified cubic B-spline for option pricing models [PDF]
, 2017 Collocation method based on modified cubic B-spline functions has been developed for the valuation of European, American and Barrier options of single asset.
Jalil Rashidinia, Sanaz Jamalzadeh
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Analytic Solutions of the Vector Burgers Equation [PDF]
The well-known analytical solution of Burgers' equation is extended to curvilinear coordinate systems in three dimensions by a method that is much simpler and more suitable to practical applications than that previously used.
Musielak, Z. E. +2 more
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The generalized (G'/G)-expansion method for solving nonlinear paratial differential equations in mathematical physics [PDF]
, 2011 In this paper, we explore new applications of the generalized
E M E Zayed, M A S El-Malky
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