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Singularities of Solutions to Chemotaxis Systems

The Keller-Segel model for chemotaxis is a prototype of nonlocal systems describing concentration phenomena in physics and biology. While;

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Chemotaxis

of food molecules, or to flee from poisons. In multicellular organisms, chemotaxis is critical to early and subsequent phases of development, as;

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Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91

Advanced Study in Princeton in 1977-1978. While some of the lectures were devoted to the analysis of singularities, others focused on applications;

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Analysis Of Singularities For Partial Differential Equations

are also included, such as the propagation of singularities of solutions to nonlinear equations, singularity index and formation of shocks.;

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Hamiltonian Systems with Three or More Degrees of Freedom

to singularities in the projections of invariant objects, and can be used as a signature of these objects. Hyperbolic dynamics appear as a;

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Lectures on Nonlinear Hyperbolic Differential Equations

initial data. Four chapters are devoted to microanalysis of the singularities of the solutions. This part assumes some familiarity with;

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Chemotaxis, Reaction, Network

This monograph is devoted to recent mathematical theories on the bottom up self-organization observed in closed and isolated thermo;

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Singular Solutions of Nonlinear Elliptic and Parabolic Equations

equations with L1-data and questions on the removability of singularities of solutions to elliptic and parabolic second-order equations;

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Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains

small parameter, whereas the boundary of the limit domain (as the parameter tends to zero) has usual edges, i.e. singularities of the first type;

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Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains

small parameter, whereas the boundary of the limit domain (as the parameter tends to zero) has usual edges, i.e. singularities of the first type;

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Numerical Methods For Elliptic Problems With Singularities

problems with angular, interface and infinity singularities. However, the approximate techniques and coupling strategy given can be applied to;

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Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations

In 1848 James Challis showed that smooth solutions to the compressible Euler equations can become multivalued, thus signifying the onset;

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School On Real And Complex Singularities In Sao Carlos, 2012

the 12th International Workshop on Real and Complex Singularities, Sao Carlos, Brazil, July 22-27, 2012.Topics treated in the 6 lecture notes;

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Symbolic Calculus for Semilinear Hyperbolic Progressing Waves

The main purpose of this book is to give a self-contained synthesis of different results in the domain of symbolic calculus of conormal;

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Abstract Parabolic Evolution Equations and Lojasiewicz-Simon Inequality I

coefficients, reaction-diffusion systems, and epitaxial growth equations. The results are also applied to the famous chemotaxis model, i.e., the Keller;

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Inverse Problem of Scattering Theory

of the scattering object. This monograph by two prominent Soviet authorities in mathematical physics was a major contribution to the literature;

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Shocks Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics

The book collects the most relevant results from the INdAM Workshop Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid;

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Nonlinear Waves

different kind of singularities (cusps, peaks). The orbital stability of the periodic solutions of traveling type for mKdV equations are also;

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Direct Methods In The Calculus Of Variations

and of solutions to elliptic partial differential equations and systems of the second order. While direct methods for the existence;

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Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations

This book discusses almost periodic and almost automorphic solutions to abstract integro-differential Volterra equations that are;

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Singular Differential Equations and Special Functions

Singular Differential Equations and Special Functions is the fifth book within Ordinary Differential Equations with Applications to;

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Resolution of Singularities

The notion of singularity is basic to mathematics. In algebraic geometry, the resolution of singularities by simple algebraic mappings;

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Lectures on Ordinary Differential Equations

, singularities of an autonomous system, and solutions of an autonomous system in the large. ;

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Introduction to Singularities

This book is an introduction to singularities for graduate students and researchers. It is said that algebraic geometry originated in the;

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Iutam Symposium on Non-Linear Singularities in Deformation and Flow

This volume is a collection of the main lectures over a broad spectrum of rheological models with singularities as the Leitmotiv , with 30;

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Introduction to Singularities

This book is an introduction to singularities for graduate students and researchers. Algebraic geometry is said to have originated in the;

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Singularities

Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them;

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