Singular Limits in Thermodynamics of Viscous Fluids
Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists,
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John G. Heywood Department of Mathematics University of British Columbia Vancouver BC Canada V6T 1Y4 e-mail: [email protected]
Rolf Rannacher ,QVWLWXWIU$QJHZDQGWH0DWKHPDWLN Universität Heidelberg ,P1HXHQKHLPHU)HOG +HLGHOEHUJ Germany e-mail: [email protected]
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Eduard Feireisl Antonín Novotný
Singular Limits in Thermodynamics of Viscous Fluids
Birkhäuser Basel · Boston · Berlin
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Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
xi
Acknowledgement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
xv
Notation, Definitions, and Function Spaces 0.1 0.2
Notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Differential operators . . . . . . . . . . . . . . . . . . . . . . . .
xvii xix
0.3
Function spaces . . . . . . . . . . . . . . . . . . . . . . . . . . .
xx
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