Results 21 to 30 of about 1,004 (76)

Generalized random processes and Cauchy′s problem for some partial differential systems

International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 3, Page 549-558, 1980., 1979
In this paper we consider a parabolic partial differential system of the form DtHt = L(t, x, D)Ht. The generalized stochastic solutions Ht, corresponding to the generalized stochastic initial conditions H0 are given. Some properties concerning these generalized stochastic solutions are also obtained.
Mahmoud M. El-Borai
wiley   +1 more source

HIGH ORDER PARACONTROLLED CALCULUS

Forum of Mathematics, Sigma, 2019
We develop in this work a general version of paracontrolled calculus that allows to treat analytically within this paradigm a whole class of singular partial differential equations with the same efficiency as regularity structures.
ISMAËL BAILLEUL, FRÉDÉRIC BERNICOT
doaj   +1 more source

An invariant in shock clustering and Burgers turbulence

, 2012
1-D scalar conservation laws with convex flux and Markov initial data are now known to yield a completely integrable Hamiltonian system. In this article, we rederive the analogue of Loitsiansky's invariant in hydrodynamic turbulence from the perspective ...
Burgers J M, Burgers J M, Burgers J M, Burgers J M, Burgers J M, Carraro L, Kolmogorov A N, Loitsianskii L G, Menon G, Ravi Srinivasan, Woyczyński W A   +10 more
core   +1 more source

Non-Existence of Positive Stationary Solutions for a Class of Semi-Linear PDEs with Random Coefficients [PDF]

, 2010
We consider a so-called random obstacle model for the motion of a hypersurface through a field of random obstacles, driven by a constant driving field. The resulting semi-linear parabolic PDE with random coefficients does not admit a global nonnegative ...
G. R. Grimmett, J. Xin, L. A. Caffarelli, L. Nirenberg, N. Dirr, N. Dirr, P.-L. Lions, S. Brazovsii   +7 more
core   +3 more sources

On the rough Gronwall lemma and its applications

, 2017
We present a rough path analog of the classical Gronwall Lemma introduced recently by A. Deya, M. Gubinelli, M. Hofmanov\'a, S. Tindel in [arXiv:1604.00437] and discuss two of its applications.
A Deya, M Caruana, M Caruana, M Gubinelli, M Gubinelli, M Hairer, S Aida, Terry J Lyons   +7 more
core   +1 more source

Neoliberalisation and 'lad cultures' in higher education [PDF]

, 2014
This paper links HE neoliberalisation and ‘lad cultures’, drawing on interviews and focus groups with women students. We argue that retro-sexist ‘laddish’ forms of masculine competitiveness and misogyny have been reshaped by neoliberal rationalities to ...
Alison Phipps, Allen M, Bates L, Bennett J, Beynon J, Blackmore J, Brennan J, Brown R, Connell RW, Duggan O, Finch J, Freire P, Gill R, Grove J, Harris A, Hilton E, Isabel Young, Kimmel MS, King R, Kingsley P, Kitzinger C, Levy A, Maddison S, Matthews D, Meredith R, NUS, NUS, Oakley A, Press Association, Sack K, Sanday PR, Sherriff L, Snyder BR, Sousa SB, Walter N, Williams R, Willis P, Wilson S, Young-Powell A   +38 more
core   +1 more source

Early warning signs for SPDEs with continuous spectrum

European Journal of Applied Mathematics
In this work, we study early warning signs for stochastic partial differential equations (SPDEs), where the linearisation around a steady state is characterised by continuous spectrum. The studied warning sign takes the form of qualitative changes in the
Paolo Bernuzzi, Antonia Freya Susanne Düx, Christian Kuehn   +2 more
doaj   +1 more source

On a stochastic partial differential equation with non-local diffusion

, 2005
In this paper, we prove existence, uniqueness and regularity for a class of stochastic partial differential equations with a fractional Laplacian driven by a space-time white noise in dimension one.
C. Bardos, D.A. Dawson, D.W. Stroock, E. Pardoux, I. Podlubny, J. Droniou, J. Droniou, J.A. Mann, J.B. Walsh, K. Itô, Mohamed Mellouk, P. Lévy, Pascal Azerad, R. Cairoli, R. Metzler, R.C. Dalang, T. Komatsu   +16 more
core   +1 more source

On the Hausdorff dimension of regular points of inviscid Burgers equation with stable initial data

, 2007
Consider an inviscid Burgers equation whose initial data is a Levy a-stable process Z with a > 1. We show that when Z has positive jumps, the Hausdorff dimension of the set of Lagrangian regular points associated with the equation is strictly smaller ...
A.A. Novikov, A.W. Janicki, G. Molchan, G. Samorodnitsky, J. Bertoin, J. Bertoin, K. Handa, L. Carraro, L. Chaumont, L. Chaumont, L. Marsalle, M. Goldman, N.H. Bingham, R. Holley, T. Simon, Thomas Simon, W.A. Woyczynski, Ya.G. Sinai   +17 more
core   +3 more sources

Decorrelation of total mass via energy [PDF]

, 2014
The main result of this small note is a quantified version of the assertion that if u and v solve two nonlinear stochastic heat equations, and if the mutual energy between the initial states of the two stochastic PDEs is small, then the total masses of ...
Chen, Le, Khoshnevisan, Davar, Kim, Kunwoo   +2 more
core