Functional Integration and Partial Differential Equations. (AM-109), Volume 109 / / Mark Iosifovich Freidlin |
Autore | Freidlin Mark Iosifovich |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (557 pages) |
Disciplina | 515.3/53 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Differential equations, Partial
Probabilities Integration, Functional |
Soggetto non controllato |
A priori estimate
Absolute continuity Almost surely Analytic continuation Axiom Big O notation Boundary (topology) Boundary value problem Bounded function Calculation Cauchy problem Central limit theorem Characteristic function (probability theory) Chebyshev's inequality Coefficient Comparison theorem Continuous function (set theory) Continuous function Convergence of random variables Cylinder set Degeneracy (mathematics) Derivative Differential equation Differential operator Diffusion equation Diffusion process Dimension (vector space) Direct method in the calculus of variations Dirichlet boundary condition Dirichlet problem Eigenfunction Eigenvalues and eigenvectors Elliptic operator Elliptic partial differential equation Equation Existence theorem Exponential function Feynman–Kac formula Fokker–Planck equation Function space Functional analysis Fundamental solution Gaussian measure Girsanov theorem Hessian matrix Hölder condition Independence (probability theory) Integral curve Integral equation Invariant measure Iterated logarithm Itô's lemma Joint probability distribution Laplace operator Laplace's equation Lebesgue measure Limit (mathematics) Limit cycle Limit point Linear differential equation Linear map Lipschitz continuity Markov chain Markov process Markov property Maximum principle Mean value theorem Measure (mathematics) Modulus of continuity Moment (mathematics) Monotonic function Navier–Stokes equations Nonlinear system Ordinary differential equation Parameter Partial differential equation Periodic function Poisson kernel Probabilistic method Probability space Probability theory Probability Random function Regularization (mathematics) Schrödinger equation Self-adjoint operator Sign (mathematics) Simultaneous equations Smoothness State-space representation Stochastic calculus Stochastic differential equation Stochastic Support (mathematics) Theorem Theory Uniqueness theorem Variable (mathematics) Weak convergence (Hilbert space) Wiener process |
ISBN | 1-4008-8159-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- INTRODUCTION -- I. STOCHASTIC DIFFERENTIAL EQUATIONS AND RELATED TOPICS -- II. REPRESENTATION OF SOLUTIONS OF DIFFERENTIAL EQUATIONS AS FUNCTIONAL INTEGRALS AND THE STATEMENT OF BOUNDARY V A LU E PROBLEMS -- III. BOUNDARY VALUE PROBLEMS FOR EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM -- IV. SMALL PARAMETER IN SECOND-ORDER ELLIPTIC DIFFERENTIAL EQUATIONS -- V. QUASI-LINEAR PARABOLIC EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM -- VI. QUASI-LINEAR PARABOLIC EQUATIONS WITH SMALL PARAMETER. WAVE FRONTS PROPAGATION -- VII. WAVE FRONT PROPAGATION IN PERIODIC AND RANDOM MEDIA -- LIST OF NOTATIONS -- REFERENCES -- Backmatter |
Record Nr. | UNINA-9910154753703321 |
Freidlin Mark Iosifovich | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Thermodynamics [[electronic resource] ] : a dynamical systems approach / / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov |
Autore | Haddad Wassim M. <1961-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2005 |
Descrizione fisica | 1 online resource (199 p.) |
Disciplina | 536/.7 |
Altri autori (Persone) |
ChellaboinaVijaySekhar <1970->
NersesovSergey G. <1976-> |
Collana | Princeton series in applied mathematics |
Soggetto topico |
Thermodynamics - Mathematics
Differentiable dynamical systems |
Soggetto non controllato |
Addition
Adiabatic process Applied mathematics Arthur Eddington Asymmetry Available energy (particle collision) Axiom Balance equation Banach space Boltzmann's entropy formula Brillouin scattering Carnot cycle Classical mechanics Clausius (crater) Compact space Conservation law Conservation of energy Constant of integration Continuous function (set theory) Continuous function Control theory Deformation (mechanics) Derivative Diathermal wall Diffeomorphism Differentiable function Diffusion process Dimension (vector space) Dimension Dissipation Dot product Dynamical system Emergence Energy density Energy level Energy storage Energy Entropy Equation Equations of motion Equilibrium point Equilibrium thermodynamics Equipartition theorem Existential quantification First law of thermodynamics Hamiltonian mechanics Heat capacity Heat death of the universe Heat flux Heat transfer Homeomorphism Hydrogen atom Ideal gas Inequality (mathematics) Infimum and supremum Infinitesimal Initial condition Instant Internal energy Irreversible process Isolated system Kinetic theory of gases Laws of thermodynamics Linear dynamical system Lipschitz continuity Local boundedness Lyapunov function Lyapunov stability Mathematical optimization Mathematics Molecule Non-equilibrium thermodynamics Operator norm Probability Quantity Reversible process (thermodynamics) Second law of thermodynamics Semi-infinite Smoothness State variable State-space representation Statistical mechanics Steady state Summation Supply (economics) Systems theory Temperature Theorem Theoretical physics Theory Thermal conduction Thermal equilibrium Thermodynamic equilibrium Thermodynamic process Thermodynamic state Thermodynamic system Thermodynamic temperature Thermodynamics Time evolution Zeroth law of thermodynamics |
ISBN |
1-68015-904-6
1-282-15830-9 9786612158308 1-4008-2697-7 |
Classificazione | UG 1000 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Introduction -- Chapter 2. Dynamical System Theory -- Chapter 3. A Systems Foundation for Thermodynamics -- Chapter 4. Temperature Equipartition and the Kinetic Theory of Gases -- Chapter 5. Work, Heat, and the Carnot Cycle -- Chapter 6. Thermodynamic Systems with Linear Energy Exchange -- Chapter 7. Continuum Thermodynamics -- Chapter 8. Conclusion -- Bibliography -- Index |
Record Nr. | UNINA-9910778220303321 |
Haddad Wassim M. <1961-> | ||
Princeton, : Princeton University Press, c2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Thermodynamics : a dynamical systems approach / / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov |
Autore | Haddad Wassim M. <1961-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2005 |
Descrizione fisica | 1 online resource (199 p.) |
Disciplina | 536/.7 |
Altri autori (Persone) |
ChellaboinaVijaySekhar <1970->
NersesovSergey G. <1976-> |
Collana | Princeton series in applied mathematics |
Soggetto topico |
Thermodynamics - Mathematics
Differentiable dynamical systems |
Soggetto non controllato |
Addition
Adiabatic process Applied mathematics Arthur Eddington Asymmetry Available energy (particle collision) Axiom Balance equation Banach space Boltzmann's entropy formula Brillouin scattering Carnot cycle Classical mechanics Clausius (crater) Compact space Conservation law Conservation of energy Constant of integration Continuous function (set theory) Continuous function Control theory Deformation (mechanics) Derivative Diathermal wall Diffeomorphism Differentiable function Diffusion process Dimension (vector space) Dimension Dissipation Dot product Dynamical system Emergence Energy density Energy level Energy storage Energy Entropy Equation Equations of motion Equilibrium point Equilibrium thermodynamics Equipartition theorem Existential quantification First law of thermodynamics Hamiltonian mechanics Heat capacity Heat death of the universe Heat flux Heat transfer Homeomorphism Hydrogen atom Ideal gas Inequality (mathematics) Infimum and supremum Infinitesimal Initial condition Instant Internal energy Irreversible process Isolated system Kinetic theory of gases Laws of thermodynamics Linear dynamical system Lipschitz continuity Local boundedness Lyapunov function Lyapunov stability Mathematical optimization Mathematics Molecule Non-equilibrium thermodynamics Operator norm Probability Quantity Reversible process (thermodynamics) Second law of thermodynamics Semi-infinite Smoothness State variable State-space representation Statistical mechanics Steady state Summation Supply (economics) Systems theory Temperature Theorem Theoretical physics Theory Thermal conduction Thermal equilibrium Thermodynamic equilibrium Thermodynamic process Thermodynamic state Thermodynamic system Thermodynamic temperature Thermodynamics Time evolution Zeroth law of thermodynamics |
ISBN |
1-68015-904-6
1-282-15830-9 9786612158308 1-4008-2697-7 |
Classificazione | UG 1000 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Introduction -- Chapter 2. Dynamical System Theory -- Chapter 3. A Systems Foundation for Thermodynamics -- Chapter 4. Temperature Equipartition and the Kinetic Theory of Gases -- Chapter 5. Work, Heat, and the Carnot Cycle -- Chapter 6. Thermodynamic Systems with Linear Energy Exchange -- Chapter 7. Continuum Thermodynamics -- Chapter 8. Conclusion -- Bibliography -- Index |
Record Nr. | UNINA-9910820305403321 |
Haddad Wassim M. <1961-> | ||
Princeton, : Princeton University Press, c2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|