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  • Implicit Degenerate Evolution Equations and Applications

    Creator:
    Di Benedetto, Emmanuele and Showalter, R. E.
    Abstract:
    The initial-value problem is studied for evolution equations in Hilbert space of the general form d/dt A(u) + B(u) ϶ f, where and are maximal monotone operators. Existence of a solution is proved when A is a subgradient and either is strongly monotone or B is coercive; existence is established...
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    Implicit degenerate evolution equations and applications SIAM

  • Partial differential equations of Sobolev-Galpern type

    Creator:
    Showalter, R. E.
    Abstract:
    A mixed initial and boundary value problem is considered for a partial differential equation of the form Muₜ(x, t)+Lu(x, t)=0, where M and L are elliptic differential operators of orders 2 m and 2l, respectively, with m ≤ l. The existence and uniqueness of a strong solution of this equation...
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    partial differential equations, (to appear, SIAM Journal) 11. S. Sobolev Izv. Akad. Nauk. SSSR Ser. Mat

  • Occupation and local times for skew Brownian motion with applications to dispersion across an interface

    Creator:
    Appuhamillage, T. A., Bokil, V. A., Thomann, E., Waymire, E., and Wood, B.
    Abstract:
    Advective skew dispersion is a natural Markov process defined ned by a di ffusion with drift across an interface of jump discontinuity in a piecewise constant diff usion coeffcient. In the absence of drift this process may be represented as a function of -skew Brownian motion for a uniquely determined...
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    coincides with usual local time. A mathematical perspective on Theorem 1.6, below, can be obtained by com

  • Vanishing viscosity in the plane for nondecaying velocity and vorticity, II

    Creator:
    Cozzi, Elaine
    Abstract:
    We consider solutions to the two-dimensional incompressible Navier-Stokes and Euler equations for which velocity and vorticity are bounded in the plane. We show that for every T > 0, the Navier-Stokes velocity converges in L∞([0,T]; L∞(R²)) as viscosity approaches 0 to the Euler velocity generated from the same initial data....
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    Journal of Mathematics, 270(2), 335-350. doi:10.2140/pjm.2014.270.335 10.2140/pjm.2014.270.335

  • Advection–Dispersion Across Interfaces

    Creator:
    Ramirez, Jorge M., Thomann, Enrique A., and Waymire, Edward C.
    Abstract:
    This article concerns a systemic manifestation of small scale interfacial heterogeneities in large scale quantities of interest to a variety of diverse applications spanning the earth, biological and ecological sciences. Beginning with formulations in terms of partial differential equations governing the conservative, advective-dispersive transport of mass concentrations in divergence form,...
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    Statistical Science 2013, Vol. 28, No. 4, 487–509 DOI: 10.1214/13-STS442 © Institute of Mathematical

  • The Ore Bin ; Vol. 38 No. 5 (May 1976)

    Creator:
    Oregon. Dept. of Geology and Mineral Industries and Beaulieu, John D.
    Abstract:
    Average annual losses caused by geologic hazards in Oregon are difficult to determine, owing to incomplete and scattered data. Preliminary considerations, however, indicate that losses to landslides may total between $4 million and $40 million per year. As many as nine persons have been killed by one landslide in Oregon...
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    , engineers, policy formulators on the local, state, and national levels, resource specialists, and the

  • Flow-plate interactions: Well-posedness and long-time behavior

    Creator:
    Chueshov, Igor, Lasiecka, Irena, and Webster, Justin
    Abstract:
    We consider flow-structure interactions modeled by a modified wave equation coupled at an interface with equations of nonlinear elasticity. Both subsonic and supersonic flow velocities are treated with Neumann type flow conditions, and a novel treatment of the so called Kutta-Joukowsky flow conditions are given in the subsonic case. The...
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    flutter suppression. Many mathematical studies have been based on linear, two dimensional, plate models

  • On normalized multiplicative cascades under strong disorder

    Creator:
    Dey, Partha S. and Waymire, Edward C.
    Abstract:
    The purpose of this note is to provide a coupling of weak limits in distribution of sequence of (normalized) multiplicative cascade measures under strong disorder in terms of the extremes of an associated branching random walk, assuming i.i.d positive, non-lattice bond weights and a second moment condition. The solution is...
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    On normalized multiplicative cascades under strong disorder

  • Exponent bounds for a convolution inequality in Euclidean space with applications to the Navier-Stokes equations

    Creator:
    Orum, Chris and Ossiander, Mina
    Abstract:
    The convolution inequality h ∗ h(ξ) ≤ B|ξ|θh(ξ) defined on Rⁿ arises from a probabilistic representation of solutions of the n-dimensional Navier-Stokes equations, n ≥ 2. Using a chaining argument, we establish in all dimensions n ≥ 1 the nonexistence of strictly positive fully supported solutions of this inequality for...
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    Euclidean space with applications to the Navier-Stokes equations PROCEEDINGS OF THE AMERICAN MATHEMATICAL

  • A class of Markov chains with no spectral gap

    Creator:
    Kovchegov, Yevgeniy and Michalowski, Nicholas
    Abstract:
    In this paper we extend the results of the research started by the first author in which Karlin-McGregor diagonalization of certain reversible Markov chains over countably infinite general state spaces by orthogonal polynomials was used to estimate the rate of convergence to a stationary distribution. We use a method of...
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    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 141, Number 12, December 2013, Pages 4317–4326 S 0002