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  • On the ground states of the Ostrovskyi equation and their stability
    Stud. Appl. Math. (IF 2.419) Pub Date : 2020-03-05
    Iurii Posukhovskyi; Atanas Stefanov

    The Ostrovskyi (Ostrovskyi‐Vakhnenko/short pulse) equations are ubiquitous models in mathematical physics. They describe water waves under the action of a Coriolis force as well as the amplitude of a “short” pulse in an optical fiber. In this paper, we rigorously construct ground traveling waves for these models as minimizers of the Hamiltonian functional for any fixed norm. The existence argument

    更新日期:2020-03-20
  • Total integrals of Ablowitz‐Segur solutions for the inhomogeneous Painlevé II equation
    Stud. Appl. Math. (IF 2.419) Pub Date : 2020-03-04
    Piotr Kokocki

    In this paper, we establish a formula determining the value of the Cauchy principal value integrals of the real and purely imaginary Ablowitz‐Segur solutions for the inhomogeneous second Painlevé equation. Our approach relies on the analysis of the corresponding Riemann‐Hilbert problem and the construction of an appropriate parametrix in a neighborhood of the origin. Obtained integral formulas are

    更新日期:2020-03-20
  • Canonical system of equations for 1D water waves
    Stud. Appl. Math. (IF 2.419) Pub Date : 2020-03-02
    Alexander I. Dyachenko

    One of the essential tasks of the theory of water waves is a construction of simplified mathematical models, which are applied to the description of complex events, such as wave breaking, appearing of freak waves in the assumption of weak nonlinearity. The Zakharov equation and its simplification, such as nonlinear Schrodinger equations and Dysthe equations, are among them. Recently, for unidirectional

    更新日期:2020-03-20
  • Fronts in two‐phase porous media flow problems: The effects of hysteresis and dynamic capillarity
    Stud. Appl. Math. (IF 2.419) Pub Date : 2020-03-02
    K. Mitra; T. Köppl; I. S. Pop; C. J. van Duijn; R. Helmig

    In this work, we study the behavior of saturation fronts for two‐phase flow through a long homogeneous porous column . In particular, the model includes hysteresis and dynamic effects in the capillary pressure and hysteresis in the permeabilities. The analysis uses traveling wave approximation. Entropy solutions are derived for Riemann problems that are arising in this context. These solutions belong

    更新日期:2020-03-20
  • Three computational approaches to weakly nonlocal Poisson brackets
    Stud. Appl. Math. (IF 2.419) Pub Date : 2020-02-20
    Matteo Casati; Paolo Lorenzoni; Raffaele Vitolo

    We compare three different ways of checking the Jacobi identity for weakly nonlocal Poisson brackets using the theory of distributions, pseudo‐differential operators, and Poisson vertex algebras, respectively. We show that the three approaches lead to similar computations and same results.

    更新日期:2020-03-20
  • Uniform asymptotics and zeros of the associated Pollaczek polynomials
    Stud. Appl. Math. (IF 2.419) Pub Date : 2020-01-11
    Xiao‐Min Huang; R. Wong

    Using a difference‐equation method in a previous paper, we study the associated Pollaczek polynomials defined by a three‐term recurrence relation. Two asymptotic approximations are derived for these polynomials; one holds for with and , and the other holds for with t in a neighborhood of . An asymptotic formula is also provided for their largest zeros.

    更新日期:2020-03-20
  • Development and analysis of a malaria transmission mathematical model with seasonal mosquito life‐history traits
    Stud. Appl. Math. (IF 2.419) Pub Date : 2019-12-29
    Ramsés Djidjou‐Demasse; Gbenga J. Abiodun; Abiodun M. Adeola; Joel O. Botai

    In this paper, we develop and analyze a malaria model with seasonality of mosquito life‐history traits: periodic‐mosquitoes per capita birth rate, ‐mosquitoes death rate, ‐probability of mosquito to human disease transmission, ‐probability of human to mosquito disease transmission, and ‐mosquitoes biting rate. All these parameters are assumed to be time dependent leading to a nonautonomous differential

    更新日期:2020-03-20
  • Coefficients of Wronskian Hermite polynomials
    Stud. Appl. Math. (IF 2.419) Pub Date : 2020-01-09
    Niels Bonneux; Clare Dunning; Marco Stevens

    We study Wronskians of Hermite polynomials labeled by partitions and use the combinatorial concepts of cores and quotients to derive explicit expressions for their coefficients. These coefficients can be expressed in terms of the characters of irreducible representations of the symmetric group, and also in terms of hook lengths. Further, we derive the asymptotic behavior of the Wronskian Hermite polynomials

    更新日期:2020-03-20
  • Barotropic instability of shear flows
    Stud. Appl. Math. (IF 2.419) Pub Date : 2020-02-17
    Zhiwu Lin; Jincheng Yang; Hao Zhu

    We consider barotropic instability of shear flows for incompressible fluids with Coriolis effects. For a class of shear flows, we develop a new method to find the sharp stability conditions. We study the flow with Sinus profile in details and obtain the sharp stability boundary in the whole parameter space, which corrects previous results in the fluid literature. Our new results are confirmed by more

    更新日期:2020-03-20
  • Maximal amplitudes of hyperelliptic solutions of the derivative nonlinear Schrödinger equation
    Stud. Appl. Math. (IF 2.419) Pub Date : 2020-01-11
    Otis C. Wright

    A simple formula is proven for an upper bound for amplitudes of hyperelliptic (finite‐gap or N‐phase) solutions of the derivative nonlinear Schrödinger equation. The upper bound is sharp, viz, it is attained for some initial conditions. The method used to prove the upper bound is the same method, with necessary modifications, used to prove the corresponding bound for solutions of the focusing NLS equation

    更新日期:2020-03-20
  • Cyclic Maya diagrams and rational solutions of higher order Painlevé systems
    Stud. Appl. Math. (IF 2.419) Pub Date : 2020-01-22
    Peter A. Clarkson; David Gómez‐Ullate; Yves Grandati; Robert Milson

    This paper focuses on the construction of rational solutions for the ‐Painlevé system, also called the Noumi‐Yamada system, which are considered the higher order generalizations of PIV. In this even case, we introduce a method to construct the rational solutions based on cyclic dressing chains of Schrödinger operators with potentials in the class of rational extensions of the harmonic oscillator. Each

    更新日期:2020-03-20
  • Optimal Proliferation and Differentiation of Chlamydia Trachomatis.
    Stud. Appl. Math. (IF 2.419) Pub Date : 2017-10-11
    Frederic Y M Wan,Germán A Enciso

    Chlamydia trachomatis is a bacterium that causes eye infection and blindness in humans. It has an unusual life cycle involving two developmental forms. Within a cytoplasmic inclusion, the reticulate body (RB) repeatedly divides by binary fission and asynchronously differentiates into the infectious elementary body (EB). Upon the death of the mammalian cell that host many such inclusions, only the EB

    更新日期:2019-11-01
  • Cell-Surface Bound Nonreceptors and Signaling Morphogen Gradients.
    Stud. Appl. Math. (IF 2.419) Pub Date : 2014-09-19
    Frederic Y M Wan

    The patterning of many developing tissues is orchestrated by gradients of signaling morphogens. Included among the molecular events that drive the formation of morphogen gradients are a variety of elaborate regulatory interactions. Such interactions are thought to make gradients robust, i.e. insensitive to change in the face of genetic or environmental perturbations. But just how this is accomplished

    更新日期:2019-11-01
  • A New Approach to Feedback for Robust Signaling Gradients.
    Stud. Appl. Math. (IF 2.419) Pub Date : 2014-09-13
    T Kushner,A Simonyan,F Y M Wan

    The patterning of many developing tissues is orchestrated by gradients of morphogens through a variety of elaborate regulatory interactions. Such interactions are thought to make gradients robust, that is, resistant to changes induced by genetic or environmental perturbations; but just how this might be done is a major unanswered question. Recently extensive numerical simulations suggest that robustness

    更新日期:2019-11-01
  • Localized Ectopic Expression of Dpp Receptors in a Drosophila Embryo.
    Stud. Appl. Math. (IF 2.419) Pub Date : 2010-02-18
    A D Lander,Q Nie,F Y M Wan,Y-T Zhang

    Receptor-mediated BMP degradation has been seen to play an important role in allowing for the formation of relatively stable P Mad patterns. To the extent that receptors act as a "sink" for BMPs, one would predict that the localized over-expression of signaling receptors would cause a net flux of freely diffused BMPs toward the ectopic, i.e., abnormally high concentration, receptor site. One possible

    更新日期:2019-11-01
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