New Trends in Mathematical Physics: In Honour of the Salvatore Rionero 70th Birthday Proceedings of the International Meeting Naples

CONTENTS......Page 10
Preface......Page 6
Conference Committee......Page 8
1 Introduction......Page 12
2 The mathematical model......Page 13
3 Time-discretization procedures......Page 17
4 Identification of the source......Page 20
References......Page 21
1 Introduction......Page 23
2 Notation and basic definitions......Page 25
3 Elliptic-parabolic tensors on Rn......Page 26
4 Commutation relations......Page 27
5 Elliptic metric tensors......Page 28
7 Elliptic-parabolic tensors as conformal Killing tensors......Page 31
References......Page 32
1 Considerazioni preliminari......Page 35
2 Le leggi costitutive. Le equazioni indefinite di equilibrio.......Page 36
3 Determinazione di un insieme di soluzioni delle equazioni di equilibrio e delle relative condizioni al contorno......Page 38
4 Genesi di una distorsione......Page 43
References......Page 44
1 Introduction......Page 45
2 The basic model......Page 46
3 Weak formulation......Page 50
4 An alternative model......Page 52
6 Conclusions......Page 54
References......Page 55
1 Introduction......Page 56
2 Steady, Unsteady, and Perturbation Problems.......Page 57
3 Analogous Estimate for a Steady Diffusion Problem in a Right Cylinder......Page 61
5 Appendix......Page 63
References......Page 64
1 The Cosmological Principle......Page 65
2 The Intrinsic Geometry of the Fluid u......Page 66
3 The Metrics for u in polar coordinates in Cases S3 and PS3......Page 67
4 Case E3 and Hubble’s Law......Page 68
5 On the Metrics of u in Cases E3, S3 and PS3......Page 69
6 The Intervention of the Velocity of Light......Page 71
7 The Velocity c and the Law of Composition for Velocities......Page 72
8 The Law of Composition for Velocities and the Hubble Sphere......Page 73
9 About Cosmography and the Deduction of the Function R(t)......Page 74
10 The Local Character of Special Relativity in Cosmology......Page 75
11 The Deduction of the Friedmann-Robertson-Walker Metric......Page 76
12 The Deduction of (7.1) in the Relativistic Context. The Minkowski Metric......Page 77
References......Page 78
1 Basic lexicon of classical statistical mechanics for spin systems......Page 79
2 Phase transitions......Page 81
3 Amorphous magnetic materials (spin glasses)......Page 82
4 Thermodynamic limit......Page 85
References......Page 87
2 Kinematical Premises......Page 88
3 Dynamics......Page 90
4 Gyroscopic Case......Page 91
References......Page 93
1 Introduction......Page 94
2 Equation P( ) + Q( )e- T = 0......Page 95
3 Equation P( ) + Q( )e -r  + R( )e-2 r = 0......Page 96
4 Equation P(, r) + Q(, r)e-r = 0......Page 97
5 Equation P(, r ) + Q(, r)e-r + R(, r)e-2r = 0......Page 103
References......Page 105
1 Introduction......Page 106
2 Basic equations and linear Benard problem......Page 107
3 Critical Rayleigh curves......Page 109
4 Linear energy stability......Page 112
References......Page 116
1 Introduction......Page 118
2 Kinetic equations and their properties......Page 119
3.1 Approximation of the elastic terms......Page 123
3.2 Approximation of the inelastic terms......Page 124
4 The BGK-type model......Page 126
5 A numerical test......Page 127
References......Page 131
1 Introduction......Page 132
2 The stability problem......Page 133
3 Nonlinear stability results in the BQnard problems: Rionero’s contributions and some new results......Page 135
References......Page 141
2 Preliminaries......Page 143
3 Multilattice kinematics......Page 144
4 Phase changes in a wt-nbhd......Page 148
5 The case of -quartz......Page 151
References......Page 156
1 Introduction......Page 158
2.1 Standard Doctrine......Page 159
2.2 Contact Power, Distance Power, and Contact Flux......Page 160
3.1 Grade-I Elasticity......Page 161
3.2 Grade-2 Elasticity......Page 162
4 Contact Flux and Stress(es) Associated with Null Lagrangians......Page 163
4.1 Grade-1 Null Lagrangaans......Page 164
4.2 Grade-2 Null Lagrangians......Page 165
References......Page 167
1 Introduction......Page 168
2 Mass conservation......Page 169
3.1 Production and destruction......Page 172
3.2 Mass fluxes......Page 174
4.1 Momentum balance......Page 175
4.2 Specific assumptions......Page 176
5 A different approach......Page 177
5.2 Chemical potential......Page 178
5.3 A numerical simulation......Page 180
References......Page 181
1 Introduction......Page 183
2 Equations of Motion......Page 184
2.1 Flow between two plates rotating about non-coincident axes.......Page 185
2.2 Torsional Flow......Page 190
References......Page 194
1 Introduction......Page 195
2 Basic properties of the fundamental solution......Page 196
3 Linear evolution and explicit behavior......Page 198
4 Estimates for non linear problems......Page 201
References......Page 202
1 Structural model......Page 204
3 Bilateral constraints......Page 208
4 Korn’s inequality......Page 210
5 Basic theorems......Page 211
6 Boundary value problems......Page 212
References......Page 215
1 Introduction......Page 216
2.2 The Kawashima condition......Page 217
2.4 Kawashima Condition for the mixture......Page 218
4 Shock Waves......Page 220
4.1 Sonic Shock......Page 221
4.2 Diffusive Shock......Page 222
4.3 Characteristic Shock......Page 223
References......Page 224
1 Introduction......Page 226
3 Energy stability and porous convection......Page 227
References......Page 228
1 Introduction and the Model......Page 230
2 Differentiation among species by carrying capacity......Page 232
3 Differentiation among species by carrying capacity and intrinsic growth rate......Page 235
4 Conclusions......Page 243
References......Page 244
1 Introduction......Page 245
2 Extremal distributions and Wasserstein-type metrics......Page 246
3 Porous medium equations......Page 248
4 Nonlinear friction equations......Page 250
5 Nonlinear friction equations with viscosity......Page 252
6 Degenerate convection-diffusion equations......Page 253
Acknowledgments......Page 254
References......Page 255
Opening Talks......Page 256
Acknowledgements......Page 274