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Showing 1 to 20 of 27 for “"Cauchy problem"”.

  1. The Cauchy problem for the Diffusive-Vlasov-Enskog equations

    Lei, PengVirginia Tech1993

    … with or without dynamical friction forces. The Cauchy problem for the Diffusive-Vlasov-Poisson-Enskog equation (DVE) and the Cauchy problem for the Fokker-Planck-Vlasov-Poisson-Enskog equation (FPVE) are addressed.

    vt Repository record

  2. Some results on (C0) semi-groups and the Cauchy problem,

    Packel, Edward W.Massachusetts Institute of Technology1967

    Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 1967

    mit Repository record

  3. A Cauchy Problem for Pseudo-Parabolic Partial Differential Equations in Whole-Space

    Rao, v.R.GopalaUniversity of Illinois at Urbana-Champaign2014

    Made available in DSpace on 2014-12-11T18:23:53Z (GMT). No. of bitstreams: 1 7310030.pdf: 2004116 bytes, checksum: 15d11b8eb5e786fdb91da81c1f8def15 (MD5) Previous issue date: 1972

    uiuc Repository record

  4. The Cauchy problem and the initial data problem in effective theories of gravity

    Kovacs, AronUniversity of Cambridge2021

    … In the first part of the thesis, we study the Cauchy problem for Lovelock and Horndeski theories. To demonstrate that the Cauchy problem for a theory of gravity is locally well-posed, it is sufficient to show that the gauge-fixed equations of motion are strongly hyperbolic. First, we use some …

    cambridge Repository record

  5. Multi-valued Solutions for the Equation of Motion, Darcy-Jordan Model, as a Cauchy Problem: A Shocking Event

    Shimp, Chandler2021

    … solutions.</p> <p>The previously unsolved problem in this study is the representation of the Equation of Motion (EoM) in the form of the Darcy-Jordan model (DJM) and expressed as a dimensionless IVP Cauchy problem. Prior attempts to solve have resulted only in implicit solutions or explicit …

    usm Repository record

  6. On the Cauchy problem for the linearized GPKdV and gauge transformations for a quadratic pencil and AKNS system

    Yordanov, Russi GeorgievVirginia Tech1992

    … work in the area of soliton theory studies two problems which arise when seeking analytic solutions to certain nonlinear partial differential equations. In the first one, Lax pairs associated with prolonged eigenfunctions and prolonged squared eigenfunctions (prolonged squares) are derived for a …

    vt Repository record

  7. Semilinear Systems of Weakly Coupled Damped Waves

    Mohammed Djaouti, AbdelhamidTU Bergakademie Freiberg

    … global existence of small data solutions to the Cauchy problem for semilinear damped wave equations with an effective dissipation term, where the data are supposed to belong to different classes of regularity. We apply these results to the Cauchy problem for weakly coupled systems of semilinear …

    qucosa-diss

  8. Stability of continuation and obstacle problems in acoustic and electromagnetic scattering

    Subbarayappa, Deepak AralumalligeWichita State University2010

    Study of the Cauchy problem for Helmholtz equation is motivated by the inverse scattering theory and more generally by remote sensing. In this dissertation the increased stability of the Cauchy problem for Helmholtz equation and the Maxwell's system is investigated with varying frequency. Here it …

    wichita-thes Repository record

  9. On the Boltzmann equation, quantitative studies and hydrodynamical limits

    Briant, MarcUniversity of Cambridge2014

    … limits for instance. We also study the local Cauchy problem for a quantic version of the Boltzmann equation.

    cambridge Repository record

  10. ΑΣΥΠΤΩΤΙΚΗ ΣΥΜΠΕΡΙΦΟΡΑ ΤΗΣ ΕΝΕΡΓΕΙΑΣ ΒΙΣΚΟΕΛΑΣΤΙΚΩΝ ΚΥΜΑΤΩΝ

    Καρατζοπούλου-Ζαφειροπούλου, Φιλαρέτη, Zafiropoulos, FilaretiUniversity of Patras1990

    … OF THE DISTURBANCE IS DESCRIBED BY A WELL- POSED CAUCHY PROBLEM FOR AN INTEGRAL -PARTIAL DIFFERENTIAL EQUATION. THE FUNDAMENTAL ENERGY THEOREM STATES THAT THE ENERGY OF THE TRANSVERSE AS WELL AS OF THE LONGITUDINAL WAVE IS PRESERVED (AND CONSEQUENTLY THE TOTAL ENERGY). THE ASYMPTOTIC ANALYSIS OF …

    greece Repository record

  11. Bidirectional and unidirectional spectral representations for the scalar wave equation

    Koutoumbas, Anastasios M.Virginia Tech1990

    The Cauchy problem associated with the scalar wave equation in free space is used as a vehicle for a critical examination and assessment of the bidirectional and unidirectional spectral representations. These two novel methods for synthesizing wave signals are distinct from the superposition …

    vt Repository record

  12. The discrete coagulation-fragmentation system

    Kerr, LyndsayUniversity of Strathclyde2020

    … coagulation-fragmentation system as an abstract Cauchy problem posed in an appropriate Banach space of sequences. The theory of operator semigroups is then used to establish the existence and uniqueness of solutions. We also investigate properties of the solutions, such as positivity, mass …

    strathclyde Repository record

  13. Energy methods for reaction-diffusion problems

    Zhong, Xing

    … dynamics, chemical kinetics, etc. A fundamental problem in the studies of these equations is to understand the long time behavior of solutions of the associated Cauchy problem. These kinds of questions were originally studied in the context of combustion modeling. For suitable nonlinearity and a …

    njit Repository record

  14. On stochastic completeness of weighted graphs

    Huang, XuepingUniversität Bielefeld

    … on infinite graphs. The following three related problems are considered. 1. Stochastic completeness of the random walk. We characterize the stochastic completeness of the random walk in terms of function-theoretic and geometric properties of the underlying graph. 2. Uniqueness of the Cauchy …

    bielefeld Repository record

  15. Global in time existence and blow-up results for a semilinear wave equation with scale-invariant damping and mass

    Palmieri, AlessandroTU Bergakademie Freiberg

    … and to the corresponding linear homogeneous Cauchy problem is played by the multiplicative constants appearing in those coefficients. For coefficients that make the damping term dominant, we can use the standard approach for the classical damped wave model with L^2 − L^2 estimates and the …

    qucosa-diss

  16. Global existence in L1 for the square-well kinetic equation

    Liu, RongshengVirginia Tech1993

    … potential. The existence of solutions to the Cauchy problem in <i>L</i>¹. global in time and for arbitrary initial data. is proved. A simple derivation of the square-well kinetic equation is given. Lewis's method is used~ which starts from the Liouville equation of statistical mechanics. Then …

    vt Repository record

  17. Linear waves on higher dimensional Schwarzschild black holes and Schwarzschild de Sitter spacetimes

    Schlue, VolkerUniversity of Cambridge2012

    … of proof departs from earlier work on this problem. I apply and extend the new physical space approach to decay of Dafermos and Rodnianski. An integrated local energy decay estimate for the wave equation on higher dimensional Schwarzschild black holes is proven. In the second part of this …

    cambridge Repository record

  18. Well-posedness and blowup results for the swirl-free and axisymmetric primitive equations in a cylinder

    SadatHosseiniKhajouei, Narges2022

    … is made in the axial direction. It addresses the problem of local existence and uniqueness in the spaces of analytic functions for the Cauchy problem for the inviscid primitive equations, also called the hydrostatic incompressible Euler equations, on a cylinder, under some extra conditions. …

    uvic Repository record

  19. Geometric Properties of Over-Determined Systems of Linear Partial Difference Equations

    Boquet, Grant MichaelVirginia Tech2010

    … the kernel representation's Gröbner basis in the Cauchy problem, we extend notions of controllability from the classical behavioral setting to accommodate this generalization. We then address the question as to when an autonomous behavior admits a Livšic-system state-space representation, where …

    vt Repository record

  20. Theory and Application of a Class of Abstract Differential-Algebraic Equations

    Pierson, Mark A.Virginia Tech2005

    … (PDEs) are often formulated as abstract Cauchy or evolution problems which we label abstract ordinary differential equations or AODE. Using this abstract formulation, existence and uniqueness of the Cauchy problem has been studied. Similarly, we look at an AODE system with operator …

    vt Repository record

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