Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 31 for “"global existence"”.
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Global existence in L1 for the square-well kinetic equation
… dense gas with intermolecular 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 …
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Structural Conditions for Global Existence in Some Chemotaxis Systems with Different Logistics
… to identify structural conditions ensuring the global existence, boundedness, and qualitative stability of classical solutions, while also exploring the onset of blow-up phenomena. The study begins with two-signal systems incorporating both attractive and repulsive cues, where the interaction of …
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Kinetic theory and global existence in Lp1s for a dense square-well fluid
… provide the related kinetic theory, and prove a global existence theorem in L1 for the kinetic equation under rather general initial value condition. An analogue of the classical H-theorem is verified.
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Global Existence of solutions to Reaction-Diffusion Systems with Mass Transport type Boundary Conditions
… T = T_max. Our criterion for determining local existence of the solution involves derivation of a priori estimates, as well as regularity of the solution, and the use of a fixed point theorem. Moreover, if vector fields satisfies certain conditions explained in dissertation, then there exists …
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On Initial-Boundary Value Problems for the Nonlinear Schroedinger Equation and the Ginzburg-Landau Equation
… equation (NLS) is shown in Chapter 1. The global solution to an initial-boundary value problem for the NLS is proved in Chapter 2. Global existence of the full-line problem for the Ginzburg-Landau equation (GL) is shown in Chapter 3. In Chapter 4, the following results concerning the …
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NORMAL FORM METHODS FOR SOME NON LINEAR HAMILTONIAN PDES IN HIGHER DIMENSION
… manifolds. In particular, we prove almost global existence for some PDEs of general interest and we provide a suitable algebraic and geometric framework. Proofs are based on normal form methods.
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Some mathematical problems in the dynamics of stochastic second-grade fluids
… flows of a bidimensional second grade fluid. Global existence and uniqueness of strong probabilistic solution (but weak in the sense of partial differential equations) are expounded. We also give two results on the long time behavior of the strong probabilistic solution of this stochastic …
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Semilinear Systems of Weakly Coupled Damped Waves
In this thesis we study the 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 …
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Rigorous Results In Fluid And Kinetic Models
… \ d\xi $$ in order to prove global existence of solutions to the Muskat problem. In this paper, for the 3D Muskat problem, given initial data $f_{0}\in H^{l}(\mathbb{R}^{2})$ for some $l\geq 3$ such that $\|f_{0}\|_{1} < k_{0}$ for a constant $k_{0} \approx 1/5$, we prove …
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Existence Results for Plasma Physics Models Containing a Fully Coupled Magnetic Field
… collisions. The focus of the investigation is on existence and uniqueness questions for solutions of the initial value problem, i.e., it is asked whether there exists a solution f of the system under consideration such that f(t=0)=f0 where f0 is a prescribed initial datum. In order to answer this …
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QUALITATIVE AND QUANTITATIVE ANALYSIS OF STOCHASTIC MODELS IN MATHEMATICAL EPIDEMIOLOGY
… deaths and demographic effects. We prove the global existence of a unique strong solution and discuss stochastic asymptotic stability of disease free and endemic equilibria. We also investigate numerical properties of these models and prove the convergence of the Balanced Implicit Method …
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Existence and stability of stellardynamic models
We examine existence and stability of stationary solutions to the Vlasov-Poisson system. This system is used in stellardynmaics to describe the evolution of galaxies where collissions are neglected and the evolution is determined by the self-consistent gravitational field which is created by the …
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Global in time existence of Sobolev solutions to semi-linear damped sigma-evolution equations in L^q scales
The main goal of this thesis is to prove the global (in time) existence of small data Sobolev solutions to semi-linear damped σ-evolution equations from suitable function spaces basing on L^q spaces by mixing additional L^m regularity for the data on the basis of L^q-L^q estimates for solutions, …
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Mathematical and Numerical Analysis of a Pair of Coupled Cahn-Hilliard Equations with a Logarithmic Potential
… model of thin film of binary liquid mixture. Global existence and uniqueness of a weak solution to the problem is proved using Faedo-Galerkin method. Higher regularity results of the weak solution are established under further regular requirements on the initial data. Further, continuous …
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Taming of Complex Dynamical Systems
The problem of establishing local existence and uniqueness of solutions to systems of differential equations is well understood and has a long history. However, the problem of proving global existence and uniqueness is more difficult and fails even for some very simple ordinary differential …
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Coupled mode reductions and rotating wave approximations in nonlinear equations
… estimates. Additionally, we prove the local and global existence of the solutions of Schrodinger equation. Numerical comparisons of discrete breathers obtained from the original nonlinear equation and the discrete nonlinear Schrodinger equation are presented describing the analytical results. …
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Imaging the D" Structure using Waveform Modelling
… and resolving the debate whether it is a global feature. This thesis presents a compilation of published, accepted and submitted work. The main objective is to provide new insights on the origin of the D'' region and its relationship with mantle dynamics. There are three chapters of the …
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Imaging the D" Structure using Waveform Modelling
… and resolving the debate whether it is a global feature. This thesis presents a compilation of published, accepted and submitted work. The main objective is to provide new insights on the origin of the D'' region and its relationship with mantle dynamics. There are three chapters of the …
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Decay for quasilinear wave equations on cosmological black hole backgrounds
… thesis we give an elementary new argument for global existence and exponential decay of solutions of quasilinear wave equations on Schwarzschild de Sitter black hole backgrounds, for appropriately small initial data. The core of the argument is entirely local, based on time translation …
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