Tabla de Contenidos:
  • 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 equationsNon-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 biologySystems 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 boundariesAsymptotic 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 equationsTravelling 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