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 47 for “"Blow up"”.
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An Adaptive Method for Calculating Blow-Up Solutions
… of the independent variable referred to as "blow-up." The attempt to find the blow-up time analytically is most often impossible, thus requiring a numerical determination of the value. The numerical methods often use <em>a priori</em> knowledge of the blow-up solution such as monotonicity or …
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Blow-up of Solutions to the Generalized Inviscid Proudman-Johnson Equation
… of their absence.</p> <p>In this work, we study blow-up, and blow-up properties, in solutions to the generalized, inviscid Proudman-Johnson equation endowed with periodic or Dirichlet boundary conditions. More particularly,regularity of solutions in an Lp setting will be measured via a direct …
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Global in time existence and blow-up results for a semilinear wave equation with scale-invariant damping and mass
… deals with global in time existence results and blow-up result for a semilinear wave model with scale-invariant damping and mass. Since the time-dependent coefficients for the considered model make somehow the damping and the mass a threshold term between effective and non-effective terms, it …
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On long time dynamic and singularity formation of NLS
… first part, we give a construction of log-log blow up solutions which blow up at m prescribed points simultaneously. In the second part, we show weak convergence to ground state for certain radial blow up solutions to NLS at well chosen time sequence. We also include a lecture note on …
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Nonlinear Methods in the Study of Singular Partial Differential Equations
… | x | &rarr &infin (if &Omega=R^N) is called a blow-up or large solution; in the latter case the solution is called an entire large solution. Issues such as existence, uniqueness and asymptotic behavior of blow-up solutions are the main questions addressed and resolved in this dissertation. The …
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Phantoms and Exceptional Collections on Rational Surfaces
… previously known for del Pezzo surfaces, to the blow-up of the projective plane in 9 very general points. More generally, we obtain a classification result for numerically exceptional collections of maximal length on smooth projective surfaces $X$ with $\chi(\mathcal{O}_X)=1$ and $K_X^2 + …
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Structural Conditions for Global Existence in Some Chemotaxis Systems with Different Logistics
… 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 opposing forces strongly influences system dynamics. By analyzing linear and nonlinear production laws, …
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On the discrete nonlinear Schrödinger equation with PT-Symmetry
… nonlinear Schrödinger equation (known as Ablowitz-Ladik equation) with parity-time symmetry proposed in Ablowitz and Musslimani’s paper. This includes the eigenfunctions (Jost solutions) of the associated Lax pair, the scattering data and the fundamental analytic solutions. In addition, we …
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Semilinear Systems of Weakly Coupled Damped Waves
… 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 effectively damped waves with respect to the defined classes of regularity for different power …
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Steady State Modeling and Dynamic Analysis of Film Blowing
… analysis, which has never been applied to film blowing, was used to explore the effect of system disturbances on the process. Results showed that perturbations related to heat transfer and inflation pressure were more significant than the effect of die swell. In addition, crystallinity is shown …
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The quantum Johnson homomorphism and symplectomorphism of 3-folds
… a subset K2,A of the symplectic mapping class group, and an invariant ... that associates a characteristic class in Hochschild cohomology to every symplectomorphism ... K2,A. These are analogues to the familiar Johnson kernel X9 and second Johnson homomorphism - 2 from low-dimensional topology. …
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Bubble tree compactification of instanton moduli spaces
… the curvature of a sequence of connections may blow up at some points in the manifold. There is a widely-used version of compactification called Uhlenbeck compactification. The idea is to add “ideal connections” to the ASD moduli space as limit points of sequences of ASD connections with …
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Bubble tree compactification of instanton moduli spaces
… the curvature of a sequence of connections may blow up at some points in the manifold. There is a widely-used version of compactification called Uhlenbeck compactification. The idea is to add “ideal connections” to the ASD moduli space as limit points of sequences of ASD connections with …
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Stime sul bordo per soluzioni di equazioni ellittiche singolari
… problema di Dirichlet è chiamata soluzione blow-up (o esplosiva). In entrambi i casi si parla di equazione singolare.
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A Novel Mathematical Model of the Trojan Y-Chromosome Strategy with Optimal Control
… ratio by introducing sex reversed males called supermales. These sex reversed males can only produce male progeny. Mathematical models of this strategy have shown that a population can be driven to extinction with a continuous supply of these sex reversed males. There are many different …
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Numerical detection of complex singularities in two and three dimensions
… in hyperbolic equations and self-focusing type blow up in nonlinear parabolic equations. Information about formation and structure of singularities can have significant role in interfacial fluid dynamics such as Kelvin-Helmholtz instability, Rayleigh-Taylor instability, and Hele-Shaw flow. In …
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Deformations of the Hilbert scheme of points on a del Pezzo surface
… moduli space, where the del Pezzo surface is the blow up of projective plane at $k$ sufficiently general points; and each of the fibers is of the form that we construct. Our work generalizes results of Nevins-Stafford constructing deformations of the Hilbert scheme of points on the plane, and of …
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Asymptotic behavior of the solutions to a family of PDE's arising from the chemotaxis equations of Keller and Segal
… solutions and those that lead to solutions which blow up in finite time are considered as a function of rho, using an application of the methods of Hillen and Potapov [Math. Methods Appl. Sci., 27 (2004), pp. 1783-1801] to analyze the global case and those of Halverson, Levine, and Renclawowicz …
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Global in time existence of Sobolev solutions to semi-linear damped sigma-evolution equations in L^q scales
… function method is to devote to the proof of blow-up results for semi-linear damped σ-evolution models, where σ≥1 and δ∈[0,σ) are assumed to be any fractional numbers.
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