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Nonlinear partial differential equations / / Joel A. Smoller, editor
| Nonlinear partial differential equations / / Joel A. Smoller, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (457 p.) |
| Disciplina | 515.3/53 |
| Collana | Contemporary mathematics, 0271-4132 |
| Soggetto topico |
Differential equations, Partial
Differential equations, Nonlinear |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7603-1
0-8218-5017-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480009203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Nonlinear partial differential equations / / Joel A. Smoller, editor
| Nonlinear partial differential equations / / Joel A. Smoller, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (457 p.) |
| Disciplina | 515.3/53 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differential equations, Partial
Differential equations, Nonlinear |
| ISBN |
0-8218-7603-1
0-8218-5017-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNINA-9910788780303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Nonlinear partial differential equations / / Joel A. Smoller, editor
| Nonlinear partial differential equations / / Joel A. Smoller, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (457 p.) |
| Disciplina | 515.3/53 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differential equations, Partial
Differential equations, Nonlinear |
| ISBN |
0-8218-7603-1
0-8218-5017-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNINA-9910827448703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||