Results 21 to 30 of about 331,931 (281)

GREEN'S FUNCTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH INVOLUTIONS

Journal of Applied Analysis & Computation, 2017
Summary: In this paper we develop a way of obtaining Green's functions of partial differential equations with linear involutions by reducing the equation to a higher-order PDE without involutions. The developed theory is applied to a model of heat transfer in a conducting plate which is bent in half.
Adrian, F., Tojo, F., Torres, Pedro J.
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Hypercontractivity for functional stochastic partial differential equations

Electronic Journal of Probability, 2015
17 ...
Bao, Jianhai, Wang, Feng-Yu, Yuan, Chenggui   +2 more
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Dynamics of cell growth: Exponential growth and division after a minimum cell size

Partial Differential Equations in Applied Mathematics
In this paper, we consider a mathematical model for cell division using a Pantograph-type nonlocal partial differential equation, accompanied by relevant initial and boundary conditions. This formulation results in a nonlocal singular eigenvalue problem.
M. Mohsin, A.A. Zaidi, B. van Brunt
doaj   +1 more source

On the geometric structure of characteristic vector fields related with nonlinear equations of the Hamilton-Jacobi type [PDF]

Opuscula Mathematica, 2007
The Cartan-Monge geometric approach to the characteristics method for Hamilton-Jacobi type equations and nonlinear partial differential equations of higher orders is analyzed.
Natalia K. Prykarpatska, Eugeniusz Wachnicki   +1 more
doaj  

Mathematical analysis of a one-dimensional model for an aging fluid

, 2012
We study mathematically a system of partial differential equations arising in the modelling of an aging fluid, a particular class of non Newtonian fluids.
Benoit, David, Bris, Claude Le, He, Lingbing, Lelièvre, Tony   +3 more
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A sequential regularization method for time-dependent incompressible Navier--Stokes equations [PDF]

, 1997
The objective of the paper is to present a method, called sequential regularization method (SRM), for the nonstationary incompressible Navier-Stokes equations from the viewpoint of regularization of differential-algebraic equations (DAEs) , and to ...
Amrouche Chérif, Bayo E., Brenan K., Fortin Michel, Gresho P. M., Sidilkover David, Su Yu   +6 more
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A Partial Functional Differential Equation

Journal of Mathematical Analysis and Applications, 2001
The author of this interesting paper investigates the partial functional differential equation \[ \partial u(x,t)\partial t =k \partial^2 u(x,t)\partial x^2+ru(x,t-T)[1-u(x,t)], \;\;t\geq 0, \;\;x\in [{}0,\pi ]{} \] under the boundary condition \(u(0,t)=u(\pi ,t)=0\) (\(t>0\)) and \(u(x,s)=\phi (x,s)\), \(-T\leq s\leq 0\), \(0\leq x\leq \pi \).
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Dynamics of the Fisher Information Metric [PDF]

, 2004
We present a method to generate probability distributions that correspond to metrics obeying partial differential equations generated by extremizing a functional $J[g^{\mu\nu}(\theta^i)]$, where $g^{\mu\nu}(\theta^i)$ is the Fisher metric.
A. Einstein, B. R. Frieden, C. C. Rodriguez, C. E. Shannon, C. E. Shannon, E. R. Caianiello, J. Calmet, J. Calmet, Jacques Calmet, K. Schwarzschild, K. Schwarzschild, S. Kullback, S. Weinberg, Xavier Calmet   +13 more
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Stochastic Reaction-diffusion Equations Driven by Jump Processes

, 2018
We establish the existence of weak martingale solutions to a class of second order parabolic stochastic partial differential equations. The equations are driven by multiplicative jump type noise, with a non-Lipschitz multiplicative functional.
A Debussche, A Debussche, A Friedman, A Lunardi, A Pazy, A Truman, A Truman, BPW Fernando, C Marinelli, C Mueller, C Mueller, D Applebaum, D Applebaum, E Hausenblas, E Hausenblas, E Hausenblas, E Hausenblas, E Motyl, E Saint Loubert Bié, Erika Hausenblas, F Flandoli, G Da Prato, G Da Prato, G Di Blasio, G Dore, H Brézis, H Triebel, H Triebel, J Bergh, J Diestel, J Zhu, JL Lions, JP Kahane, K-I Sato, KR Parthasarathy, L Mytnik, M Metivier, M Reed, M Röckner, N Ikeda, N Jacob, O Kallenberg, P Billingsley, P Kotelenez, Paul André Razafimandimby, R Dalang, R Dudley, R Seeley, S Cerrai, S Dirksen, S Ethier, S Kwapień, S Peszat, S Peszat, T Runst, V Mandrekar, W Whitt, Y Giga, Z Brzezńiak, Z Brzeźniak, Z Brzeźniak, Z Brzeźniak, Z Brzeźniak, Z Brzeźniak, Z Brzeźniak, Z Brzeźniak, Z Brzeźniak, Z Dong, Z Dong, Zdzisław Brzeźniak   +69 more
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The system of partial differential equations for the C0 function

Nuclear Physics B, 2019
We present an approach to analyze the scalar integrals of any Feynman diagrams in detail here. This method not only completely recovers some well-known results in the literature, but also produces some brand new results on the $C_{_0}$ function.
Tai-Fu Feng, Chao-Hsi Chang, Jian-Bin Chen, Hai-Bin Zhang   +3 more
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