Paper Search Console

Home Search Page About Contact

Journal Title

Title of Journal: Arch Rational Mech Anal

Search In Journal Title:

Abbravation: Archive for Rational Mechanics and Analysis

Search In Journal Abbravation:

Publisher

Springer-Verlag

Search In Publisher:

DOI

10.1007/s00134-010-1815-7

Search In DOI:

ISSN

1432-0673

Search In ISSN:
Search In Title Of Papers:

On Nonlinear Stochastic Balance Laws

Authors: GuiQiang Chen Qian Ding Kenneth H Karlsen
Publish Date: 2012/02/09
Volume: 204, Issue: 3, Pages: 707-743
PDF Link

Abstract

We are concerned with multidimensional stochastic balance laws We identify a class of nonlinear balance laws for which uniform spatial BV bound for vanishing viscosity approximations can be achieved Moreover we establish temporal equicontinuity in L 1 of the approximations uniformly in the viscosity coefficient Using these estimates we supply a multidimensional existence theory of stochastic entropy solutions In addition we establish an error estimate for the stochastic viscosity method as well as an explicit estimate for the continuous dependence of stochastic entropy solutions on the flux and random source functions Various further generalizations of the results are discussed

Keywords:

References

.
Search In Abstract Of Papers:
Other Papers In This Journal:
  1. Optimal Design in Conductivity Under Locally Constrained Heat Flux
  2. Regularity Issues in the Problem of Fluid Structure Interaction
  3. Negative Eigenvalues of Two-Dimensional Schrödinger Operators
  4. Dobrushin States in the $${\phi^4_1}$$ Model
  5. The Liouville Theorem and the L 2 Decay for the FENE Dumbbell Model of Polymeric Flows
  6. The Liouville Theorem and the L 2 Decay for the FENE Dumbbell Model of Polymeric Flows
  7. Counterexamples to the Sonic Criterion
  8. Dislocation Dynamics: Short-time Existence and Uniqueness of the Solution
  9. Weak Solutions of the Navier–Stokes Equations for Compressible Flows in a Half-Space with No-Slip Boundary Conditions
  10. Generalized Transition Fronts for One-Dimensional Almost Periodic Fisher-KPP Equations
  11. The Gel’fand Problem for the Biharmonic Operator
  12. The Existence Problem for Steiner Networks in Strictly Convex Domains
  13. Stability of Detonation Profiles in the ZND Limit
  14. Uniqueness of Absolute Minimizers for $${L^\infty}$$-Functionals Involving Hamiltonians $${H(x,p)}$$H(x,p)
  15. A Condition for the Hölder Regularity of Local Minimizers of a Nonlinear Elastic Energy in Two Dimensions
  16. Kinetic Stabilization¶of a Nonlinear Sonic Phase Boundary
  17. The Toda System and Clustering Interfaces in the Allen–Cahn equation
  18. A Stability Criterion for Two-Fluid Interfaces and Applications
  19. Long-Time Convergence of an Adaptive Biasing Force Method: The Bi-Channel Case
  20. Displacement Convexity and Minimal Fronts at Phase Boundaries
  21. Gradient Bounds for Elliptic Problems Singular at the Boundary
Search Result: