Nonlinear partial differential equations / / Joel A. Smoller, editor

• Record Nr.: UNINA9910480009203321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [1983]; ©1983
• ISBN: 0-8218-7603-1; 0-8218-5017-2
• Descrizione fisica: 1 online resource (457 p.)
• Collana: Contemporary mathematics, 0271-4132 ; ; volume 17
• Disciplina: 515.3/53
• Soggetti: Differential equations, Partial; Differential equations, Nonlinear; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Proceedings of a conference which was held at the University of New Hampshire, June 20-26, 1982, and was sponsored by the American Mathematical Society.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Table of Contents""; ""Preface""; ""Part I""; ""Theoretical problems and numerical results for nonlinear conservation laws""; ""Quasilinear hyperbolic partial differential equations and the mathematical theory of shock waves""; ""Analytical solutions of the Helmholtz equations""; ""Large time regularity of viscous surface waves""; ""Shock waves and the Boltzmann equation""; ""Formation of singularities for nonlinear hyperbolic partial differential equations""; ""Conservation laws""; ""Recent results for hyperbolic conservation laws""; ""On the smoothing of initial discontinuities and the development of singularities in certain quasilinear hyperbolic equations""""Non-strictly hyperbolic systems of conservation laws: formation of singularities""; ""On the variable sign penalty approximation of the Navier-Stokes equations""; ""Initial boundary value problems for the equations of motion of compressible viscous fluids""; ""Convergence of finite difference approximations to nonlinear hyperbolic systems""; ""Linearized stability of extreme shock profiles for systems of conservation laws with viscosity""; ""On some ""viscous"" perturbations of quasi-linear first order ; hyperbolic systems arisinq in biology""""Systems of conservation laws with coinciding shock and rarefaction curves""; ""Computational synergetics and mathematical innovation: waves and vortices""; ""Part II""; ""Reaction and diffusion in carbon combustion""; ""Bifurcation for colinear solutions to a reaction-diffusion system""; ""Travelling wave solutions to reaction-diffusion systems modeling combustion""; ""Stable equilibria with variable diffusion""; ""Diffusion and the predator-prey interaction: steady-state with flux at the boundaries""""Asymptotic flow theory with complex chemistry""; ""Strongly nonlinear detonations""; ""Differential equations and convergence almost everywhere in strongly monotone semiflows""; ""Some ideas in the proof that the Fitz-Hugh-Nagumo pulse is stable""; ""Diffusion induced chaos""; ""Monotone and oscillatory equilibrium solutions of a problem arising in population genetics""; ""Some convection diffusion equations arising in population dynamics""; ""Finite-dimensional attracting manifolds in reaction-diffusion equations""""Travelling wave solutions of multi-stable reaction-diffusion equations""; ""Part III""; ""Creation and breaking of self-duality symmetry - a modern aspect of calculus of variations""; ""Multiple solutions for a problem in buoyancy induced flow""; ""Frequency plateaus in a chain of weakly coupled oscillators""; ""A system of nonlinear pde's arising in the optimal control of stochastic systems with switching costs""; ""L1 stability of travelling waves with applications to convective porous media flow""; ""A one variable map analysis of bursting in the Belousov-Zhabotinskii reaction""